Institut für Angewandte Mathematik (Math D)
Publications Jussi Behrndt
Monograph
    Jussi Behrndt, Seppo Hassi, Henk de Snoo
    Boundary Value Problems, Weyl Functions, and Differential Operators.
    Monographs in Mathematics 108; Birkhäuser/Springer, Cham, 2020.
     
Refereed Publications
  1. Jussi Behrndt, Fritz Gesztesy, Marius Mitrea
    Sharp boundary trace theory and Schrödinger operators on bounded Lipschitz domains.
    to appear in Mem. Amer. Math. Soc.; pdf-file
     
  2. Jussi Behrndt, Fritz Gesztesy, Henk de Snoo
    Weak coupling and spectral instability for Neumann Laplacians.
    to appear in Proc. Amer. Math. Soc.; pdf-file
     
  3. Jussi Behrndt, Peter Schlosser
    On a class of oscillatory integrals and their application to the time dependent Schrödinger equation.
    J. Math. Anal. Appl. 543 (2025), Paper No. 129022; pdf-file
     
  4. Jussi Behrndt, Dale Frymark, Markus Holzmann, Christian Stelzer
    Nonrelativistic limit of generalized MIT bag models and spectral inequalities.
    Math. Phys. Anal. Geom. 27 (2024), Paper No. 12, 30 pp.; pdf-file
     
  5. Jussi Behrndt, Markus Holzmann, Christian Stelzer, Georg Stenzel
    Boundary triples and Weyl functions for Dirac operators with singular interactions.
    Rev. Math. Phys. 36 (2024), Paper No. 2350036; pdf-file
     
  6. Jussi Behrndt, Philipp Schmitz, Gerald Teschl, Carsten Trunk
    Perturbation and spectral theory for singular indefinite Sturm-Liouville operators.
    J. Differential Equations 405 (2024), 151-178; pdf-file
     
  7. Jussi Behrndt, Iveta Semoradova, Petr Siegl
    The imaginary Airy operator with a one-center delta-interaction.
    Pure Appl. Funct. Anal. 9 (2024), 915-934; pdf-file
     
  8. Jussi Behrndt, Fabrizio Colombo, Peter Schlosser, Daniele Struppa
    Integral representation of superoscillations via complex Borel measures and their convergence.
    Trans. Amer. Math. Soc. 376 (2023), 6315-6340; pdf-file
     
  9. Jussi Behrndt, Fritz Gesztey, Philipp Schmitz, Carsten Trunk
    Lower bounds for self-adjoint Sturm-Liouville operators.
    Proc. Amer. Math. Soc. 151 (2023), 5313-5323; pdf-file
     
  10. Jussi Behrndt, Markus Holzmann, Georg Stenzel
    Schrödinger operators with oblique transmission conditions in R2.
    Comm. Math. Phys. 401 (2023), 3149-3167; pdf-file
     
  11. Jussi Behrndt, Markus Holzmann, Matej Tusek
    Two-dimensional Dirac Operators with general delta-shell interactions supported on a straight line.
    J. Phys. A: Math. Theor. 56 (2023), Paper No. 045201; pdf-file
     
  12. Jussi Behrndt, Vladimir Lotoreichik, Peter Schlosser
    Schrödinger operators with delta-potential supported on unbounded Lipschitz hypersurfaces.
    Operator Theory: Advances and Applications 291 (2023), 123-150; pdf-file
     
  13. Jussi Behrndt, Philipp Schmitz, Gerald Teschl, Carsten Trunk
    Perturbations of periodic Sturm-Liouville operators.
    Adv. Math. 422 (2023), Paper No. 109022; pdf-file
     
  14. Jussi Behrndt, Philipp Schmitz, Gerald Teschl, Carsten Trunk
    Relative oscillation theory and essential spectra of Sturm-Liouville operators.
    J. Math. Anal. Appl. 518 (2023), Paper No. 126673; pdf-file
     
  15. Yakir Aharonov, Jussi Behrndt, Fabrizio Colombo, Peter Schlosser
    A unified approach to Schrödinger evolution of superoscillations and supershifts.
    J. Evol. Equ. 22 (2022), Paper No. 26; pdf-file
     
  16. Jussi Behrndt, Tom ter Elst, Fritz Gesztesy
    The generalized Birman-Schwinger principle.
    Trans. Amer. Math. Soc. 375 (2022), 799-845; pdf-file
     
  17. Jussi Behrndt, Markus Holzmann, Vladimir Lotoreichik, Georgi Raikov
    The fate of Landau levels under delta-interactions.
    J. Spectral Theory 12 (2022), 1203-1234; pdf-file
     
  18. Jussi Behrndt, Markus Holzmann, Matej Tusek
    Spectral transition for Dirac operators with electrostatic delta-shell potentials supported on the straight line.
    Integral Equations Operator Theory 94 (2022), Paper No. 33; pdf-file
     
  19. Jussi Behrndt, Andrii Khrabustovskyi
    Construction of self-adjoint differential operators with prescribed spectral properties.
    Math. Nachrichten 295 (2022), 1063-1095; pdf-file
     
  20. Jussi Behrndt, Andrii Khrabustovskyi
    Singular Schrödinger operators with prescribed spectral properties.
    J. Funct. Anal. 282 (2022), 109252, 49 pp; pdf-file
     
  21. Yakir Aharonov, Jussi Behrndt, Fabrizio Colombo, Peter Schlosser
    Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations.
    J. Differential Equations 277 (2021), 153-190; pdf-file
     
  22. Jussi Behrndt
    On compressed resolvents of Schrödinger operators with complex potentials.
    Complex Anal. Oper. Theory 15 (2021), Paper No. 12; pdf-file
     
  23. Jussi Behrndt, Tom ter Elst
    Jordan chains of elliptic partial differential operators and Dirichlet-to-Neumann maps.
    J. Spectr. Theory 11 (2021), 1081-1105; pdf-file
     
  24. Yakir Aharonov, Jussi Behrndt, Fabrizio Colombo, Peter Schlosser
    Schrödinger evolution of superoscillations with delta- and delta'-potentials.
    Quantum Studies 7 (2020), 293-305; pdf-file
     
  25. Jussi Behrndt, Pavel Exner, Markus Holzmann, Vladimir Lotoreichik
    The Landau Hamiltonian with delta-potentials supported on curves.
    Rev. Math. Phys. 32 (2020), 2050010, 51 pp; pdf-file
     
  26. Jussi Behrndt, Markus Holzmann
    On Dirac operators with electrostatic delta-shell interactions of critical strength.
    J. Spectral Theory 10 (2020), 147-184; pdf-file
     
  27. Jussi Behrndt, Markus Holzmann, Andrea Mantile, Andrea Posilicano
    Limiting absorption principle and scattering matrix for Dirac operators with delta-shell interactions.
    J. Math. Phys. 61 (2020), 033504, 16 pp; pdf-file
     
  28. Jussi Behrndt, Markus Holzmann, Albert Mas
    Self-adjoint Dirac operators on domains in R^3.
    Ann. Henri Poincaré 21 (2020), 2681-2735; pdf-file
     
  29. Jussi Behrndt, Markus Holzmann, Thomas Ourmieres-Bonafos, Konstantin Pankrashkin
    Two-dimensional Dirac operators with singular interactions supported on closed curves.
    J. Funct. Anal. 279 (2020), 108700, 47 pp; pdf-file
     
  30. Jussi Behrndt, Hagen Neidhardt
    Scattering matrices and Weyl functions of quasi boundary triples.
    Operator Theory: Advances and Applications 276 (2020), 162-182; pdf-file
     
  31. Jussi Behrndt, Jonathan Rohleder
    Inverse problems with partial data for elliptic operators on unbounded Lipschitz domains.
    Inverse Problems 36 (2020) 035009, 18pp; pdf-file
     
  32. Jussi Behrndt, Fabrizio Colombo, Peter Schlosser
    Evolution of Aharonov-Berry superoscillations in Dirac delta-potential.
    Quantum Studies 6 (2019), 279-293; pdf-file
     
  33. Jussi Behrndt, Pavel Exner, Markus Holzmann, Vladimir Lotoreichik
    On Dirac operators in R^3 with electrostatic and Lorentz scalar δ-shell interactions.
    Quantum Studies 6 (2019), 295-314; pdf-file
     
  34. Jussi Behrndt, Peter Schlosser
    Quasi boundary triples, self-adjoint extensions, and Robin Laplacians on the half-space.
    Operator Theory: Advances and Applications 275 (2019), 49-66; pdf-file
     
  35. Jussi Behrndt, Philipp Schmitz, Carsten Trunk
    Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials.
    J. Differential Equations 267 (2019), 468-493; pdf-file
     
  36. Jussi Behrndt, Vladimir Derkach, Fritz Gesztesy, Marius Mitrea
    Coupling of symmetric operators and the third Green identity.
    Bull. Math. Sci. 8 (2018), 49-80; pdf-file
     
  37. Jussi Behrndt, Pavel Exner, Markus Holzmann, Vladimir Lotoreichik
    On the spectral properties of Dirac operators with electrostatic delta-shell interactions .
    J. Math. Pures Appl. 111 (2018), 47-78; pdf-file
     
  38. Jussi Behrndt, Fritz Gesztesy, Shu Nakamura
    Spectral shift functions and Dirichlet-to-Neumann maps.
    Math. Ann. 371 (2018), 1255–-300; pdf-file
     
  39. Jussi Behrndt, Fritz Gesztesy, Shu Nakamura
    A spectral shift function for Schrödinger operators with singular interactions.
    Operator Theory: Advances and Applications 268 (2018), 89-110; pdf-file
     
  40. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, Jonathan Rohleder
    Spectral enclosures for non-self-adjoint extensions of symmetric operators.
    J. Funct. Anal. 275 (2018), 1808-1888; pdf-file
     
  41. Jussi Behrndt, David Krejcirik
    An indefinite Laplacian on a rectangle.
    J. Anal. Math. 134 (2018), 501-522; pdf-file
     
  42. Jussi Behrndt, Friedrich Philipp
    Finite rank perturbations in Pontryagin spaces and a Sturm-Liouville problem with lambda-rational boundary conditions.
    Operator Theory: Advances and Applications 263 (2018), 163-189; pdf-file
     
  43. Jussi Behrndt, Jonathan Rohleder, Simon Stadler
    Eigenvalue inequalities for Schrödinger operators on unbounded Lipschitz domains.
    J. Spectral Theory 8 (2018), 493-508; pdf-file
     
  44. Jussi Behrndt, Philipp Schmitz, Carsten Trunk
    Spectral bounds for singular indefinite Sturm-Liouville operators with L1-potentials.
    Proc. Amer. Math. Soc. 146 (2018), 3935-3942; pdf-file
     
  45. Jussi Behrndt, Tom ter Elst
    The Dirichlet-to-Neumann map for Schrödinger operators with complex potentials.
    Discrete Contin. Dyn. Syst. Ser. S 10 (2017), 661-671; pdf-file
     
  46. Jussi Behrndt, Pavel Exner, Markus Holzmann, Vladimir Lotoreichik
    Approximation of Schrödinger operators with delta-interactions supported on hypersurfaces.
    Math. Nachr. 290 (2017), 1215-1248; pdf-file
     
  47. Jussi Behrndt, Rupert L. Frank, Christian Kühn, Vladimir Lotoreichik, Jonathan Rohleder
    Spectral theory for Schrödinger operators with delta-interactions supported on curves in R^3.
    Ann. Henri Poincaré 18 (2017), 1305-1347; pdf-file
     
  48. Jussi Behrndt, Fritz Gesztesy, Helge Holden, Roger Nichols
    On the index of meromorphic operator-valued functions and some applications.
    Functional Analysis and Operator Theory for Quantum Physics - The Pavel Exner Anniversary Volume, EMS (2017), 95-127; pdf-file
     
  49. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik
    Trace formulae for Schrödinger operators with singular interactions.
    Functional Analysis and Operator Theory for Quantum Physics - The Pavel Exner Anniversary Volume, EMS (2017), 129-152; pdf-file
     
  50. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, Jonathan Rohleder
    Quasi boundary triples and semibounded self-adjoint extensions.
    Proc. Roy. Soc. Edinburgh Sect. A 147 (2017), 895-916; pdf-file
     
  51. Jussi Behrndt, Mark Malamud, Hagen Neidhardt
    Scattering matrices and Dirichlet-to-Neumann maps.
    J. Funct. Anal. 273 (2017), 1970-2025; pdf-file
     
  52. Jussi Behrndt, Fritz Gesztesy, Helge Holden, Roger Nichols
    Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions.
    J. Differential Equations 261 (2016), 3551-3587; pdf-file
     
  53. Jussi Behrndt, Fritz Gesztesy, Till Micheler, Marius Mitrea
    The Krein-von Neumann realization of perturbed Laplacians on bounded Lipschitz domains.
    Operator Theory: Advances and Applications 255 (2016), 49-66; pdf-file
     
  54. Jussi Behrndt, Leslie Leben, Francisco Martinez-Peria, Roland Möws, Carsten Trunk
    Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces.
    J. Math. Anal. Appl. 439 (2016), 864-895; pdf-file
     
  55. Jussi Behrndt, Roland Möws, Carsten Trunk
    Eigenvalue estimates for operators with finitely many negative squares.
    Opuscula Math. 36 (2016), 717-734; pdf-file
     
  56. Jussi Behrndt, Jonathan Rohleder
    Titchmarsh-Weyl theory for Schrödinger operators on unbounded domains.
    J. Spectral Theory 6 (2016), 67-87; pdf-file
     
  57. Jussi Behrndt, Tom ter Elst
    Dirichlet-to-Neumann maps on bounded Lipschitz domains.
    J. Differential Equations 259 (2015), 5903-5926; pdf-file
     
  58. Jussi Behrndt, Gerd Grubb, Matthias Langer, Vladimir Lotoreichik
    Spectral asymptotics for resolvent differences of elliptic operators with delta and delta'-interactions on hypersurfaces.
    J. Spectral Theory 5 (2015), 697-729; pdf-file
     
  59. Jussi Behrndt, Leslie Leben, Francisco Martinez-Peria, Carsten Trunk
    The effect of finite rank perturbations on Jordan chains of linear operators.
    Linear Algebra Appl. 479 (2015), 118-130; pdf-file
     
  60. Jussi Behrndt, Jonathan Rohleder
    Spectral analysis of selfadjoint elliptic differential operators, Dirichlet-to-Neumann maps, and abstract Weyl functions.
    Adv. Math. 285 (2015), 1301-1338; pdf-file
     
  61. Jussi Behrndt, Shaozhou Chen, Friedrich Philipp, Jiangang Qi
    Estimates on the non-real eigenvalues of regular indefinite Sturm-Liouville problems.
    Proc. Roy. Soc. Edinburgh Sect. A 144 (2014), 1113-1126; pdf-file
     
  62. Jussi Behrndt, Pavel Exner, Vladimir Lotoreichik
    Schrödinger operators with delta and delta'-interactions on Lipschitz surfaces and chromatic numbers of associated partitions.
    Rev. Math. Phys. 26 (2014), 1450015 (43pp) ; pdf-file
     
  63. Jussi Behrndt, Pavel Exner, Vladimir Lotoreichik
    Schrödinger operators with delta-interactions supported on conical surfaces.
    J. Phys. A: Math. Theor. 47 (2014), 355202 (16pp); pdf-file
     
  64. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma
    Antitonicity of the inverse for selfadjoint matrices, operators, and relations.
    Proc. Amer. Math. Soc. 142 (2014), 2783-2796; pdf-file
     
  65. Jussi Behrndt, Leslie Leben, Friedrich Philipp
    Variation of discrete spectra of non-negative operators in Krein spaces.
    J. Operator Theory 71 (2014), 157-173; pdf-file
     
  66. Jussi Behrndt, Till Micheler
    Elliptic differential operators on Lipschitz domains and abstract boundary value problems.
    J. Funct. Anal. 267 (2014), 3657-3709; pdf-file
     
  67. Jussi Behrndt, Roland Möws, Carsten Trunk
    On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps.
    Complex Anal. Oper. Theory 8 (2014), 925-936; pdf-file
     
  68. Jussi Behrndt
    Spectral theory of elliptic differential operators with indefinite weights.
    Proc. Roy. Soc. Edinburgh Sect. A 143 (2013), 21-38; pdf-file
     
  69. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma, Henrik Winkler
    Linear fractional transformations of Nevanlinna functions associated with a nonnegative operator.
    Complex Anal. Oper. Theory 7 (2013), 331-362; pdf-file
     
  70. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik
    Schrödinger operators with delta and delta'-potentials supported on hypersurfaces.
    Ann. Henri Poincaré 14 (2013), 385-423; pdf-file
     
  71. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik
    Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators.
    J. London Math. Soc. 88 (2013), 319-337; pdf-file
     
  72. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik
    Spectral estimates for resolvent differences of selfadjoint elliptic operators.
    Integral Equations Operator Theory 77 (2013), 1-37; pdf-file
     
  73. Jussi Behrndt, Annemarie Luger, Carsten Trunk
    On the negative squares of a class of self-adjoint extensions in Krein spaces.
    Math. Nachr. 286 (2013), 118-148; pdf-file
     
  74. Jussi Behrndt, Friedrich Philipp, Carsten Trunk
    Bounds for the non-real spectrum of differential operators with indefinite weights.
    Math. Ann. 357 (2013), 185-213; pdf-file
     
  75. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma
    Limit properties of monotone matrix functions.
    Linear Algebra Appl. 436 (2012), 935-953; pdf-file
     
  76. Jussi Behrndt, Matthias Langer
    Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples.
    London Math. Soc. Lecture Note Series 404 (2012), 121-160; pdf-file
     
  77. Jussi Behrndt, Jonathan Rohleder
    An inverse problem of Calderon type with partial data.
    Comm. Partial Differential Equations 37 (2012), 1141-1159; pdf-file
     
  78. Tomas Ya. Azizov, Jussi Behrndt, Peter Jonas, Carsten Trunk
    Spectral points of definite type and type pi for linear operators and relations in Krein spaces.
    J. London Math. Soc. 83 (2011), 768-788; pdf-file
     
  79. Jussi Behrndt, Vladimir Derkach, Seppo Hassi, Henk de Snoo
    A realization theorem for generalized Nevanlinna families.
    Oper. Matrices 5 (2011), 679-706; pdf-file
     
  80. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma
    Square-integrable solutions and Weyl functions for singular canonical systems.
    Math. Nachr. 284 (2011), 1334-1384; pdf-file
     
  81. Jussi Behrndt, Roland Möws, Carsten Trunk
    Eigenvalue estimates for singular left-definite Sturm-Liouville operators.
    J. Spectral Theory 1 (2011), 327-347; pdf-file
     
  82. Jussi Behrndt
    Elliptic boundary value problems with lambda-dependent boundary conditions.
    J. Differential Equations 249 (2010), 2663-2687; pdf-file
     
  83. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma
    Monotone convergence theorems for semibounded operators and forms with applications.
    Proc. Roy. Soc. Edinburgh Sect. A 140 (2010), 927-951; pdf-file
     
  84. Jussi Behrndt, Mikael Kurula, Arjan van der Schaft, Hans Zwart
    Dirac structures and their composition on Hilbert spaces.
    J. Math. Anal. Appl. 372 (2010), 402-422; pdf-file
     
  85. Jussi Behrndt, Matthias Langer
    On the adjoint of a symmetric operator.
    J. London Math. Soc. 82 (2010), 563-580; pdf-file
     
  86. Jussi Behrndt, Matthias Langer, Igor Lobanov, Vladimir Lotoreichik, Igor Popov
    A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains.
    J. Math. Anal. Appl. 371 (2010), 750-758; pdf-file
     
  87. Jussi Behrndt, Annemarie Luger
    On the number of negative eigenvalues of the Laplacian on a metric graph.
    J. Phys. A: Math. Theor. 43 (2010), 474006; pdf-file
     
  88. Jussi Behrndt, Friedrich Philipp
    Spectral analysis of singular ordinary differential operators with indefinite weights.
    J. Differential Equations 248 (2010), 2015-2037; pdf-file
     
  89. Daniel Alpay, Jussi Behrndt
    Generalized Q-functions and Dirichlet-to-Neumann maps for elliptic differential operators.
    J. Funct. Anal. 257 (2009), 1666-1694; pdf-file
     
  90. Tomas Ya. Azizov, Jussi Behrndt, Peter Jonas, Carsten Trunk
    Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces.
    Integral Equations Operator Theory 63 (2009), 151-163; pdf-file
     
  91. Jussi Behrndt
    Boundary value problems with eigenvalue depending boundary conditions.
    Math. Nachr. 282 (2009), 659-689; pdf-file
     
  92. Jussi Behrndt
    Realization of non-strict matrix Nevanlinna functions as Weyl functions of symmetric operators in Pontryagin spaces.
    Proc. Amer. Math. Soc. 137 (2009), 2685-2696; pdf-file
     
  93. Jussi Behrndt, Seppo Hassi, Henk de Snoo
    Boundary relations, unitary colligations, and functional models.
    Complex Analysis Operator Theory 3 (2009), 57-98; pdf-file
     
  94. Jussi Behrndt, Qutaibeh Katatbeh, Carsten Trunk
    Non-real eigenvalues of singular indefinite Sturm-Liouville operators.
    Proc. Amer. Math. Soc. 137 (2009), 3797-3806; pdf-file
     
  95. Jussi Behrndt, Mark Malamud, Hagen Neidhardt
    Finite rank perturbations, scattering matrices and inverse problems.
    Operator Theory: Advances and Applications 198 (2009), 61-85; pdf-file
     
  96. Jussi Behrndt, Henk de Snoo
    On Krein's formula.
    J. Math. Anal. Appl. 351 (2009), 567-578; pdf-file
     
  97. Tomas Ya. Azizov, Jussi Behrndt, Friedrich Philipp, Carsten Trunk
    On domains of powers of linear operators and finite rank perturbations.
    Operator Theory: Advances and Applications 188 (2008), 31-37; pdf-file
     
  98. Tomas Ya. Azizov, Jussi Behrndt, Carsten Trunk
    On finite rank perturbations of definitizable operators.
    J. Math. Anal. Appl. 339 (2008), 1161-1168; pdf-file
     
  99. Jussi Behrndt, Seppo Hassi, Henk de Snoo
    Functional models for Nevanlinna families.
    Opuscula Math. 28 (2008), 233-245; pdf-file
     
  100. Jussi Behrndt, Qutaibeh Katatbeh, Carsten Trunk
    Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators.
    J. Phys. A: Math. Theor. 41 (2008), 244003; pdf-file
     
  101. Jussi Behrndt, Mark Malamud, Hagen Neidhardt
    Scattering matrices and Weyl functions.
    Proc. London Math. Soc. 97 (2008), 568-598; pdf-file
     
  102. Jussi Behrndt, Mark Malamud, Hagen Neidhardt
    Trace formulae for dissipative and coupled scattering systems.
    Operator Theory: Advances and Applications 188 (2008), 49-87; pdf-file
     
  103. Jussi Behrndt, Hagen Neidhardt, Elena Racec, Paul Racec, Ulrich Wulf
    On Eisenbud's and Wigner's R-matrix: A general approach.
    J. Differential Equations 244 (2008), 2545-2577; pdf-file
     
  104. Jussi Behrndt
    On the spectral theory of singular indefinite Sturm-Liouville operators.
    J. Math. Anal. Appl. 334 (2007), 1439-1449; pdf-file
     
  105. Jussi Behrndt
    Finite rank perturbations of locally definitizable self-adjoint operators in Krein spaces.
    J. Operator Theory 58 (2007), 415-440; pdf-file
     
  106. Jussi Behrndt, Hans-Christian Kreusler
    Boundary relations and generalized resolvents of symmetric relations in Krein spaces.
    Integral Equations Operator Theory 59 (2007), 309-327; pdf-file
     
  107. Jussi Behrndt, Matthias Langer
    Boundary value problems for elliptic partial differential operators on bounded domains.
    J. Funct. Anal. 243 (2007), 536-565; pdf-file
     
  108. Jussi Behrndt, Annemarie Luger
    An analytic characterization of the eigenvalues of self-adjoint extensions.
    J. Funct. Anal. 242 (2007), 607-640; pdf-file
     
  109. Jussi Behrndt, Annemarie Luger, Carsten Trunk
    Generalized resolvents of a class of symmetric operators in Krein spaces.
    Operator Theory: Advances and Applications 175 (2007), 13-32; pdf-file
     
  110. Jussi Behrndt, Mark Malamud, Hagen Neidhardt
    Scattering theory for open quantum systems with finite rank coupling.
    Math. Phys. Anal. Geom. 10 (2007), 313-358; pdf-file
     
  111. Jussi Behrndt, Hagen Neidhardt, Joachim Rehberg
    Block operator matrices, optical potentials, trace class perturbations and scattering.
    Operator Theory: Advances and Applications 175 (2007), 33-49; pdf-file
     
  112. Jussi Behrndt, Carsten Trunk
    On the negative squares of indefinite Sturm-Liouville operators.
    J. Differential Equations 238 (2007), 491-519; pdf-file
     
  113. Jussi Behrndt
    A class of abstract boundary value problems with locally definitizable functions in the boundary condition.
    Operator Theory: Advances and Applications 163 (2006), 55-73; pdf-file
     
  114. Jussi Behrndt, Peter Jonas
    Boundary value problems with local generalized Nevanlinna functions in the boundary condition.
    Integral Equations Operator Theory 55 (2006), 453-475; pdf-file
     
  115. Jussi Behrndt, Friedrich Philipp, Carsten Trunk
    Properties of the spectrum of type pi+ and type pi- of self-adjoint operators in Krein spaces.
    Methods Funct. Anal. Topology 12 no. 4 (2006), 326-340; pdf-file
     
  116. Jussi Behrndt, Carsten Trunk
    Sturm-Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions.
    J. Differential Equations 222 (2006), 297-324; pdf-file
     
  117. Jussi Behrndt, Peter Jonas
    On compact perturbations of locally definitizable selfadjoint relations in Krein spaces.
    Integral Equations Operator Theory 52 (2005), 17-44; pdf-file
     
Other Publications
  1. Jussi Behrndt, Markus Holzmann, Christian Stelzer, Georg Stenzel
    A class of singular perturbations of the Dirac operator: Boundary triplets and Weyl functions.
    Acta Wasaensia 462 (2021), 15-35; pdf-file
     
  2. Jussi Behrndt, Pavel Exner, Takashi Ichinose, Mark Malamud, Valentin Zagrebnov
    Hagen Neidhardt (1950–2019) - his work and legacy.
    Eur. Math. Soc. Newsl. 115 (2020), 25-30; pdf-file
     
  3. Jussi Behrndt, Philipp Schmitz, Carsten Trunk
    The non-real spectrum of a singular indefinite Sturm-Liouville operator with regular left endpoint.
    Proc. Appl. Math. Mech. 19 (2019), e201900133; pdf-file
     
  4. Jussi Behrndt, Bernhard Gsell, Philipp Schmitz, Carsten Trunk
    An estimate on the non-real spectrum of a singular indefinite Sturm-Liouville operator.
    Proc. Appl. Math. Mech. 17 (2017), 859-860; pdf-file
     
  5. Jussi Behrndt, Philipp Schmitz, Carsten Trunk
    Bounds on the non-real spectrum of a singular indefinite Sturm-Liouville operator on R.
    Proc. Appl. Math. Mech. 16 (2016), 881-882; pdf-file
     
  6. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik
    Boundary triples for Schrödinger operators with singular interactions on hypersurfaces
    Nanosystems: Physics, Chemistry, Mathematics 7 (2016), 290-302; pdf-file
     
  7. Jussi Behrndt, Markus Holzmann, Vladimir Lotoreichik
    Convergence of 2D-Schrödinger operators with local scaled short-range interactions to a Hamiltonian with infinitely many delta-point interactions.
    Proc. Appl. Math. Mech. 14 (2014), 1005-1006; pdf-file
     
  8. Jussi Behrndt
    An open problem: Accumulation of nonreal eigenvalues of indefinite Sturm-Liouville operators.
    Integral Equations Operator Theory 77 (2013), 299-301; pdf-file
     
  9. Jussi Behrndt, Shaozhou Chen, Friedrich Philipp, Jiangang Qi
    Bounds on non-real eigenvalues of indefinite Sturm-Liouville problems.
    Proc. Appl. Math. Mech. 13 (2013), 525-526; pdf-file
     
  10. Jussi Behrndt, Pavel Exner, Vladimir Lotoreichik
    Essential spectrum of Schrödinger operators with delta-interactions on the union of compact Lipschitz hypersurfaces.
    Proc. Appl. Math. Mech. 13 (2013), 523-524; pdf-file
     
  11. Jussi Behrndt, Christian Kühn, Jonathan Rohleder
    Eigenvalues of Schrödinger operators and Dirichlet-to-Neumann maps.
    Proc. Appl. Math. Mech. 13 (2013), 517-518; pdf-file
     
  12. Jussi Behrndt, Konstantin Pankrashkin, Olaf Post
    Mini Workshop: Boundary value problems and spectral geometry.
    Oberwolfach Reports 9 (2012), 43-76; pdf-file
     
  13. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma, Henrik Winkler
    Linear fractional transformations of Stieltjes functions.
    Proc. Appl. Math. Mech. 11 (2011), 887-888; pdf-file
     
  14. Jussi Behrndt, Christian Kühn, Jonathan Rohleder
    Selfadjoint Schrödinger operators on the half-space with compactly supported Robin boundary conditions.
    Proc. Appl. Math. Mech. 11 (2011), 885-886; pdf-file
     
  15. Jussi Behrndt, Till Micheler
    Boundary triples and quasi boundary triples for elliptic operators.
    Proc. Appl. Math. Mech. 11 (2011), 883-884; pdf-file
     
  16. Jussi Behrndt, Jonathan Rohleder
    A characterization of the eigenvalues of Schrödinger operators with Dirichlet and Neumann boundary conditions.
    Proc. Appl. Math. Mech. 10 (2010), 657-658; pdf-file
     
  17. Jussi Behrndt, Roland Möws, Carsten Trunk
    Singular indefinite Sturm-Liouville operators with a spectral gap.
    Proc. Appl. Math. Mech. 9 (2009), 669-670; pdf-file
     
  18. Jussi Behrndt, Friedrich Philipp, Carsten Trunk
    Definitizability of a class of J-selfadjoint operators with applications.
    Proc. Appl. Math. Mech. 9 (2009), 665-666; pdf-file
     
  19. Jussi Behrndt, Jonathan Rohleder
    An L^2 model for selfadjoint elliptic differential operators with constant coefficients on bounded domains.
    Proc. Appl. Math. Mech. 9 (2009), 673-674; pdf-file
     
  20. Jussi Behrndt, Olivier Sete
    On the nonreal eigenvalues of elliptic differential operators with indefinite weights on Lipschitz domains.
    Proc. Appl. Math. Mech. 9 (2009), 667-668; pdf-file
     
  21. Jussi Behrndt, Igor Lobanov, Vladimir Lotoreichik, Igor Popov
    Counting eigenvalues of a Schrödinger operator with delta-potential supported by a loop.
    Proceedings of the conference Days of Diffraction 2009, 140--143.
     
  22. Jussi Behrndt, Karl-Heinz Förster, Carsten Trunk
    In memoriam Peter Jonas (1941 - 2007).
    Oper. Theory Adv. Appl. 198, ix-xi.
     
  23. Jussi Behrndt
    Linearizations of a class of elliptic boundary value problems.
    Proc. Appl. Math. Mech. 6 (2006), 619-620; pdf-file
     
  24. Jussi Behrndt, Mark Malamud, Hagen Neidhardt
    Scattering systems and characteristic functions.
    Proceedings 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, (2006), 1940-1945; pdf-file
     
  25. Jussi Behrndt, Carsten Trunk
    On generalized resolvents of symmetric operators of defect one with finitely many negative squares.
    Proceedings AIT Conference, Vaasan Yliop. Julk. Selvityksiä Rap. 124, Vaasa, Finland (2005), 21-30; pdf-file
     
Editorial Work
  1. Daniel Alpay, Jussi Behrndt, Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa (Editors)
    Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis.
    Operator Theory: Advances and Applications 290, 2023, Birkhäuser, Basel.
     
  2. Joe Ball, Jussi Behrndt, Christian Mehl, Ilya Spitkovsky (Editors)
    Special Issue in Honor of Leiba Rodman.
    Linear Algebra Appl. 470, 2015.
     
  3. Jussi Behrndt, Gerald Teschl, Harald Woracek (Editors)
    Special Issue on Spectral Theory and Differential Operators.
    Oper. Matrices 8, 2014
     
  4. Wolfgang Arendt, Joe Ball, Jussi Behrndt, Karl-Heinz Förster, Volker Mehrmann, Carsten Trunk (Editors)
    Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations.
    Operator Theory: Advances and Applications 221, 2012, Birkhäuser, Basel.
     
  5. Jussi Behrndt, Karl-Heinz Förster, Carsten Trunk (Editors)
    Recent Advances in Operator Theory in Hilbert and Krein Spaces.
    Operator Theory: Advances and Applications 198, 2009, Birkhäuser, Basel.
     
  6. Jussi Behrndt, Karl-Heinz Förster, Heinz Langer, Carsten Trunk (Editors)
    Spectral Theory in Inner Product Spaces and Applications.
    Operator Theory: Advances and Applications 188, 2008, Birkhäuser, Basel.
     
Theses
  1. Jussi Behrndt
    Spektraltheorie von Differentialoperatoren und eine Klasse nichtlinearer Randwertprobleme.
    Habilitationsschrift, Technische Universität Berlin (2008)
     
  2. Jussi Behrndt
    Compact and finite rank perturbations of selfadjoint operators in Krein spaces with applications
    to boundary eigenvalue problems.
    Dissertation, Technische Universität Berlin (2005)
     
  3. Jussi Behrndt
    Spektraleigenschaften einer Klasse von selbstadjungierten Erweiterungen symmetrischer Operatoren
    im Hilbertraum.
    Diplomarbeit, Technische Universität Berlin (2002)
     
Submitted Papers
  1. Jussi Behrndt
    Boundary value problems for adjoint pairs of operators.
     
  2. Jussi Behrndt, Pavel Exner, Markus Holzmann, Matej Tusek
    On two-dimensional Dirac operators with delta-shell interactions supported on unbounded curves with straight ends.
     
  3. Jussi Behrndt, Markus Holzmann, Christian Stelzer
    Approximation of Dirac operators with delta-shell potentials in the norm resolvent sense.