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## Behrndt, Jussi

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 Author ID: behrndt.jussi Published as: Behrndt, J.; Behrndt, Jussi Homepage: https://www.math.tugraz.at/~behrndt/ External Links: MGP · ORCID · dblp · GND
 Documents Indexed: 106 Publications since 2005, including 4 Books Reviewing Activity: 34 Reviews
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#### Co-Authors

 9 single-authored 24 Trunk, Carsten 16 Lotoreichik, Vladimir 12 Langer, Matthias 10 de Snoo, Hendrik S. V. 9 Hassi, Seppo 8 Holzmann, Markus 8 Neidhardt, Hagen 8 Rohleder, Jonathan 7 Exner, Pavel 7 Philipp, Friedrich 6 Malamud, Mark M. 5 Gesztesy, Fritz 4 Azizov, Tomas Ya. 4 Förster, Karl-Heinz 4 Jonas, Peter 4 Luger, Annemarie 4 Möws, Roland 4 Wietsma, Rudi 3 Leben, Leslie 3 Schlosser, Peter 2 Ball, Joseph Anthony 2 Colombo, Fabrizio 2 Derkach, Vladimir Alexandrovich 2 Holden, Helge 2 Katatbeh, Qutaibeh Deeb 2 Martínez Pería, Francisco D. 2 Micheler, Till 2 Mitrea, Marius 2 Nichols, Roger 2 Pankrashkin, Konstantin 2 Schmitz, Philipp 2 ter Elst, Antonius Frederik Maria 1 Aharonov, Yakir 1 Alpay, Daniel Aron 1 Arendt, Wolfgang 1 Brown, Malcolm 1 Chen, Shaozhu 1 Frank, Rupert L. 1 Grubb, Gerd 1 Ichinose, Takashi 1 Krejčiřík, David 1 Kreusler, Hans-Christian 1 Kühn, Christian 1 Kurula, Mikael 1 Langer, Heinz 1 Lobanov, Igor 1 Mantile, Andrea 1 Mas, Albert 1 Mehl, Christian 1 Mehrmann, Volker 1 Nakamura, Shu 1 Ourmiéres-Bonafos, Thomas 1 Plum, Michael 1 Popov, Igor’ Yur’evich 1 Posilicano, Andrea 1 Post, Olaf 1 Qi, Jiangang 1 Racec, Elena R. 1 Racec, Paul N. 1 Rehberg, Joachim 1 Spitkovsky, Ilya Matvey 1 Stadler, Simon 1 van der Schaft, Arjan J. 1 Wietsma, Hendrik Luit 1 Winkler, Henrik 1 Wulf, Ulrich 1 Zagrebnov, Valentin A. 1 Zwart, Hans J.
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#### Serials

 9 Journal of Differential Equations 7 Journal of Functional Analysis 6 Journal of Mathematical Analysis and Applications 6 Integral Equations and Operator Theory 5 Journal of Spectral Theory 4 Mathematische Nachrichten 4 Proceedings of the American Mathematical Society 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Complex Analysis and Operator Theory 3 Journal of the London Mathematical Society. Second Series 3 Linear Algebra and its Applications 3 Annales Henri Poincaré 3 Journal of Physics A: Mathematical and Theoretical 3 Operator Theory: Advances and Applications 2 Reviews in Mathematical Physics 2 Mathematische Annalen 2 Journal of Operator Theory 2 Opuscula Mathematica 2 Oberwolfach Reports 2 Quantum Studies: Mathematics and Foundations 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Advances in Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 European Mathematical Society Newsletter 1 Methods of Functional Analysis and Topology 1 Mathematical Physics, Analysis and Geometry 1 Monographs in Mathematics 1 Operators and Matrices 1 Discrete and Continuous Dynamical Systems. Series S 1 Bulletin of Mathematical Sciences 1 Nanosystems. Physics, Chemistry, Mathematics
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#### Fields

 91 Operator theory (47-XX) 42 Partial differential equations (35-XX) 29 Ordinary differential equations (34-XX) 28 Quantum theory (81-XX) 15 Functional analysis (46-XX) 7 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

91 Publications have been cited 823 times in 370 Documents Cited by Year
Boundary value problems for elliptic partial differential operators on bounded domains. Zbl 1132.47038
Behrndt, Jussi; Langer, Matthias
2007
Schrödinger operators with $$\delta$$ and $$\delta^{\prime}$$-potentials supported on hypersurfaces. Zbl 1275.81027
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
Scattering matrices and Weyl functions. Zbl 1161.47008
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
2008
Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples. Zbl 1331.47067
Behrndt, Jussi; Langer, Matthias
2012
Schrödinger operators with $$\delta$$- and $$\delta'$$-interactions on Lipschitz surfaces and chromatic numbers of associated partitions. Zbl 1326.47050
Behrndt, Jussi; Exner, Pavel; Lotoreichik, Vladimir
2014
Generalized $$Q$$-functions and Dirichlet-to-Neumann maps for elliptic differential operators. Zbl 1179.47041
Alpay, Daniel; Behrndt, Jussi
2009
Schrödinger operators with $$\delta$$-interactions supported on conical surfaces. Zbl 1297.35154
Behrndt, J.; Exner, P.; Lotoreichik, V.
2014
Boundary value problems, Weyl functions, and differential operators. Zbl 1457.47001
Behrndt, Jussi; Hassi, Seppo; de Snoo, Henk
2020
Bounds on the non-real spectrum of differential operators with indefinite weights. Zbl 1281.47024
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
2013
Square-integrable solutions and Weyl functions for singular canonical systems. Zbl 1232.34037
Behrndt, Jussi; Hassi, Seppo; De Snoo, Henk; Wietsma, Rudi
2011
On the negative squares of indefinite Sturm–Liouville operators. Zbl 1123.47033
Behrndt, Jussi; Trunk, Carsten
2007
Dirichlet-to-Neumann maps on bounded Lipschitz domains. Zbl 1344.35032
Behrndt, J.; ter Elst, A. F. M.
2015
An inverse problem of Calderón type with partial data. Zbl 1244.35164
Behrndt, Jussi; Rohleder, Jonathan
2012
Elliptic differential operators on Lipschitz domains and abstract boundary value problems. Zbl 1300.35026
Behrndt, Jussi; Micheler, Till
2014
Non-real eigenvalues of singular indefinite Sturm-Liouville operators. Zbl 1182.47036
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten
2009
Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces. Zbl 1194.47016
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten
2009
On the number of negative eigenvalues of the Laplacian on a metric graph. Zbl 1204.81076
Behrndt, Jussi; Luger, Annemarie
2010
Scattering theory for open quantum systems with finite rank coupling. Zbl 1144.81480
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
2007
On the spectral theory of singular indefinite Sturm-Liouville operators. Zbl 1126.34052
Behrndt, Jussi
2007
Spectral estimates for resolvent differences of self-adjoint elliptic operators. Zbl 1311.47059
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
Dirac structures and their composition on Hilbert spaces. Zbl 1209.47016
Kurula, Mikael; Zwart, Hans; van der Schaft, Arjan; Behrndt, Jussi
2010
Approximation of Schrödinger operators with $$\delta$$-interactions supported on hypersurfaces. Zbl 1376.35010
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2017
Spectral analysis of selfadjoint elliptic differential operators, Dirichlet-to-Neumann maps, and abstract Weyl functions. Zbl 1344.47018
Behrndt, Jussi; Rohleder, Jonathan
2015
Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators. Zbl 1296.35097
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
Spectral points of definite type and type $$\pi$$ for linear operators and relations in Krein spaces. Zbl 1220.47052
Azizov, T. Ya.; Behrndt, J.; Jonas, P.; Trunk, C.
2011
Boundary value problems with local generalized Nevanlinna functions in the boundary condition. Zbl 1121.47029
Behrndt, Jussi; Jonas, Peter
2006
Scattering matrices and Dirichlet-to-Neumann maps. Zbl 1376.35011
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
2017
Spectral analysis of singular ordinary differential operators with indefinite weights. Zbl 1197.34167
Behrndt, Jussi; Philipp, Friedrich
2010
On the spectral properties of Dirac operators with electrostatic $$\delta$$-shell interactions. Zbl 1382.81095
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2018
A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains. Zbl 1198.35159
Behrndt, Jussi; Langer, Matthias; Lobanov, Igor; Lotoreichik, Vladimir; Popov, Igor Yu.
2010
Sturm–Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions. Zbl 1099.34018
Behrndt, Jussi; Trunk, Carsten
2006
Estimates on the non-real eigenvalues of regular indefinite Sturm-Liouville problems. Zbl 1325.34098
Behrndt, Jussi; Chen, Shaozhu; Philipp, Friedrich; Qi, Jiangang
2014
Monotone convergence theorems for semi-bounded operators and forms with applications. Zbl 1200.47022
Behrndt, Jussi; Hassi, Seppo; de Snoo, Henk; Wietsma, Rudi
2010
Boundary relations, unitary colligations, and functional models. Zbl 1186.47007
Behrndt, Jussi; Hassi, Seppo; De Snoo, Henk
2009
Boundary value problems with eigenvalue depending boundary conditions. Zbl 1177.47088
Behrndt, Jussi
2009
On compact perturbations of locally definitizable selfadjoint relations in Krein spaces. Zbl 1083.47030
Behrndt, Jussi; Jonas, Peter
2005
On Dirac operators in $$\mathbb{R}^3$$ with electrostatic and Lorentz scalar $$\delta$$-shell interactions. Zbl 1423.81072
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2019
Spectral asymptotics for resolvent differences of elliptic operators with $$\delta$$ and $$\delta^{'}$$-interactions on hypersurfaces. Zbl 1353.47090
Behrndt, Jussi; Grubb, Gerd; Langer, Matthias; Lotoreichik, Vladimir
2015
Elliptic boundary value problems with $$\lambda$$-dependent boundary conditions. Zbl 1203.35086
Behrndt, Jussi
2010
Functional models for Nevanlinna families. Zbl 1183.47004
Behrndt, Jussi; Hassi, Seppo; de Snoo, Henk
2008
On finite rank perturbations of definitizable operators. Zbl 1127.47034
Azizov, Tomas Ya.; Behrndt, Jussi; Trunk, Carsten
2008
Finite rank perturbations of locally definitizable self-adjoint operators in Krein spaces. Zbl 1164.47042
Behrndt, Jussi
2007
An analytic characterization of the eigenvalues of self-adjoint extensions. Zbl 1114.47037
Behrndt, Jussi; Luger, Annemarie
2007
Quasi boundary triples and semi-bounded self-adjoint extensions. Zbl 1386.35290
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir; Rohleder, Jonathan
2017
A realization theorem for generalized Nevanlinna families. Zbl 1255.46011
Behrndt, J.; Derkach, V. A.; Hassi, S.; de Snoo, H. S. V.
2011
Spectral theory for Schrödinger operators with $$\delta$$-interactions supported on curves in $$\mathbb {R}^3$$. Zbl 1378.81026
Behrndt, Jussi; Frank, Rupert L.; Kühn, Christian; Lotoreichik, Vladimir; Rohleder, Jonathan
2017
Titchmarsh-Weyl theory for Schrödinger operators on unbounded domains. Zbl 1381.35025
Behrndt, Jussi; Rohleder, Jonathan
2016
On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps. Zbl 1348.47009
Behrndt, Jussi; Möws, Roland; Trunk, Carsten
2014
On the adjoint of a symmetric operator. Zbl 1209.47010
Behrndt, Jussi; Langer, Matthias
2010
Finite rank perturbations, scattering matrices and inverse problems. Zbl 1192.47008
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
2010
On domains of powers of linear operators and finite rank perturbations. Zbl 1177.47004
Azizov, Tomas Ya.; Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
2009
Spectral enclosures for non-self-adjoint extensions of symmetric operators. Zbl 06912916
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir; Rohleder, Jonathan
2018
Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh $$M$$-functions, and a generalized index of unbounded meromorphic operator-valued functions. Zbl 1350.47009
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
2016
On the negative squares of a class of self-adjoint extensions in Krein spaces. Zbl 1275.47084
Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten
2013
Eigenvalue estimates for singular left-definite Sturm-Liouville operators. Zbl 1235.34225
Behrndt, Jussi; Möws, Roland; Trunk, Carsten
2011
Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators. Zbl 1140.81375
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten
2008
On Dirac operators with electrostatic $$\delta$$-shell interactions of critical strength. Zbl 1437.35595
Behrndt, Jussi; Holzmann, Markus
2020
Spectral bounds for singular indefinite Sturm-Liouville operators with $$L^1$$-potentials. Zbl 1396.34052
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten
2018
The effect of finite rank perturbations on Jordan chains of linear operators. Zbl 1412.47007
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Trunk, Carsten
2015
On Kreĭn’s formula. Zbl 1179.47023
Behrndt, Jussi; De Snoo, Henk
2009
Generalized resolvents of a class of symmetric operators in Krein spaces. Zbl 1138.47030
Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten
2007
Properties of the spectrum of type $$\pi_+$$ and type $$\pi_-$$ of self-adjoint operators in Krein spaces. Zbl 1118.47028
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
2006
Evolution of Aharonov-Berry superoscillations in Dirac $$\delta$$-potential. Zbl 1423.81063
Behrndt, Jussi; Colombo, Fabrizio; Schlosser, Peter
2019
The Krein-von Neumann realization of perturbed Laplacians on bounded Lipschitz domains. Zbl 1372.35200
Behrndt, Jussi; Gesztesy, Fritz; Micheler, Till; Mitrea, Marius
2016
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces. Zbl 1341.47045
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Möws, Roland; Trunk, Carsten
2016
An open problem: accumulation of nonreal eigenvalues of indefinite Sturm-Liouville operators. Zbl 1283.47052
Behrndt, Jussi
2013
Spectral theory of elliptic differential operators with indefinite weights. Zbl 1400.35085
Behrndt, Jussi
2013
Linear fractional transformations of Nevanlinna functions associated with a nonnegative operator. Zbl 1311.30033
Behrndt, Jussi; Hassi, Seppo; De Snoo, Henk; Wietsma, Rudi; Winkler, Henrik
2013
Realization of nonstrict matrix Nevanlinna functions as Weyl functions of symmetric operators in Pontryagin spaces. Zbl 1166.47035
Behrndt, Jussi
2009
Two-dimensional Dirac operators with singular interactions supported on closed curves. Zbl 1446.35155
Behrndt, Jussi; Holzmann, Markus; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin
2020
Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials. Zbl 1416.34019
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten
2019
An indefinite Laplacian on a rectangle. Zbl 1402.35184
Behrndt, Jussi; Krejčiřík, David
2018
Coupling of symmetric operators and the third Green identity. Zbl 06860129
Behrndt, Jussi; Derkach, Vladimir; Gesztesy, Fritz; Mitrea, Marius
2018
Boundary triples for Schrödinger operators with singular interactions on hypersurfaces. Zbl 1353.47043
Behrndt, J.; Langer, M.; Lotoreichik, V.
2016
Antitonicity of the inverse for selfadjoint matrices, operators, and relations. Zbl 1300.47010
Behrndt, Jussi; Hassi, Seppo; Wietsma, Hendrik; de Snoo, Henk
2014
Limit properties of monotone matrix functions. Zbl 1235.26008
Behrndt, Jussi; Hassi, Seppo; De Snoo, Henk; Wietsma, Rudi
2012
Trace formulae for dissipative and coupled scattering systems. Zbl 1175.47008
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
2009
Boundary relations and generalized resolvents of symmetric operators in Krein spaces. Zbl 1160.47034
Behrndt, Jussi; Kreusler, Hans-Christian
2007
A class of abstract boundary value problems with locally definitizable functions in the boundary condition. Zbl 1127.47035
Behrndt, Jussi
2006
The Landau Hamiltonian with $$\delta$$-potentials supported on curves. Zbl 07265626
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2020
Self-adjoint Dirac operators on domains in $$\mathbb{R}^3$$. Zbl 1454.81079
Behrndt, Jussi; Holzmann, Markus; Mas, Albert
2020
Limiting absorption principle and scattering matrix for Dirac operators with $$\delta$$-shell interactions. Zbl 1439.81037
Behrndt, Jussi; Holzmann, Markus; Mantile, Andrea; Posilicano, Andrea
2020
Finite rank perturbations in Pontryagin spaces and a Sturm-Liouville problem with $$\lambda$$-rational boundary conditions. Zbl 06984767
Behrndt, Jussi; Philipp, Friedrich
2018
Spectral shift functions and Dirichlet-to-Neumann maps. Zbl 1417.35016
Behrndt, Jussi; Gesztesy, Fritz; Nakamura, Shu
2018
Eigenvalue inequalities for Schrödinger operators on unbounded Lipschitz domains. Zbl 1423.35087
Behrndt, Jussi; Rohleder, Jonathan; Stadler, Simon
2018
On the index of meromorphic operator-valued functions and some applications. Zbl 1441.47012
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
2017
The Dirichlet-to-Neumann map for Schrödinger operators with complex potentials. Zbl 1372.35095
Behrndt, Jussi; ter Elst, A. F. M.
2017
Mini-workshop: Boundary value problems and spectral geometry. Abstracts from the mini-workshop held January 1–7, 2012. Zbl 1349.00057
Behrndt, Jussi (ed.); Pankrashkin, Konstantin (ed.); Post, Olaf (ed.)
2012
Recent advances in operator theory in Hilbert and Krein spaces. Papers of the 7th workshop on operator theory in Krein spaces and spectral analysis, TU Berlin, Germany, December 13–16, 2007. Dedicated to Peter Jonas. Zbl 1181.47004
Behrndt, Jussi (ed.); Förster, Karl-Heinz (ed.); Trunk, Carsten (ed.)
2010
On Eisenbud’s and Wigner’s $$R$$-matrix: A general approach. Zbl 1158.34052
Behrndt, Jussi; Neidhardt, Hagen; Racec, Elena R.; Racec, Paul N.; Wulf, Ulrich
2008
On generalized resolvents of symmetric operators of defect one with finitely many negative squares. Zbl 1107.47025
Behrndt, Jussi; Trunk, Carsten
2005
Boundary value problems, Weyl functions, and differential operators. Zbl 1457.47001
Behrndt, Jussi; Hassi, Seppo; de Snoo, Henk
2020
On Dirac operators with electrostatic $$\delta$$-shell interactions of critical strength. Zbl 1437.35595
Behrndt, Jussi; Holzmann, Markus
2020
Two-dimensional Dirac operators with singular interactions supported on closed curves. Zbl 1446.35155
Behrndt, Jussi; Holzmann, Markus; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin
2020
The Landau Hamiltonian with $$\delta$$-potentials supported on curves. Zbl 07265626
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2020
Self-adjoint Dirac operators on domains in $$\mathbb{R}^3$$. Zbl 1454.81079
Behrndt, Jussi; Holzmann, Markus; Mas, Albert
2020
Limiting absorption principle and scattering matrix for Dirac operators with $$\delta$$-shell interactions. Zbl 1439.81037
Behrndt, Jussi; Holzmann, Markus; Mantile, Andrea; Posilicano, Andrea
2020
On Dirac operators in $$\mathbb{R}^3$$ with electrostatic and Lorentz scalar $$\delta$$-shell interactions. Zbl 1423.81072
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2019
Evolution of Aharonov-Berry superoscillations in Dirac $$\delta$$-potential. Zbl 1423.81063
Behrndt, Jussi; Colombo, Fabrizio; Schlosser, Peter
2019
Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials. Zbl 1416.34019
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten
2019
On the spectral properties of Dirac operators with electrostatic $$\delta$$-shell interactions. Zbl 1382.81095
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2018
Spectral enclosures for non-self-adjoint extensions of symmetric operators. Zbl 06912916
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir; Rohleder, Jonathan
2018
Spectral bounds for singular indefinite Sturm-Liouville operators with $$L^1$$-potentials. Zbl 1396.34052
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten
2018
An indefinite Laplacian on a rectangle. Zbl 1402.35184
Behrndt, Jussi; Krejčiřík, David
2018
Coupling of symmetric operators and the third Green identity. Zbl 06860129
Behrndt, Jussi; Derkach, Vladimir; Gesztesy, Fritz; Mitrea, Marius
2018
Finite rank perturbations in Pontryagin spaces and a Sturm-Liouville problem with $$\lambda$$-rational boundary conditions. Zbl 06984767
Behrndt, Jussi; Philipp, Friedrich
2018
Spectral shift functions and Dirichlet-to-Neumann maps. Zbl 1417.35016
Behrndt, Jussi; Gesztesy, Fritz; Nakamura, Shu
2018
Eigenvalue inequalities for Schrödinger operators on unbounded Lipschitz domains. Zbl 1423.35087
Behrndt, Jussi; Rohleder, Jonathan; Stadler, Simon
2018
Approximation of Schrödinger operators with $$\delta$$-interactions supported on hypersurfaces. Zbl 1376.35010
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir
2017
Scattering matrices and Dirichlet-to-Neumann maps. Zbl 1376.35011
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
2017
Quasi boundary triples and semi-bounded self-adjoint extensions. Zbl 1386.35290
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir; Rohleder, Jonathan
2017
Spectral theory for Schrödinger operators with $$\delta$$-interactions supported on curves in $$\mathbb {R}^3$$. Zbl 1378.81026
Behrndt, Jussi; Frank, Rupert L.; Kühn, Christian; Lotoreichik, Vladimir; Rohleder, Jonathan
2017
On the index of meromorphic operator-valued functions and some applications. Zbl 1441.47012
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
2017
The Dirichlet-to-Neumann map for Schrödinger operators with complex potentials. Zbl 1372.35095
Behrndt, Jussi; ter Elst, A. F. M.
2017
Titchmarsh-Weyl theory for Schrödinger operators on unbounded domains. Zbl 1381.35025
Behrndt, Jussi; Rohleder, Jonathan
2016
Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh $$M$$-functions, and a generalized index of unbounded meromorphic operator-valued functions. Zbl 1350.47009
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
2016
The Krein-von Neumann realization of perturbed Laplacians on bounded Lipschitz domains. Zbl 1372.35200
Behrndt, Jussi; Gesztesy, Fritz; Micheler, Till; Mitrea, Marius
2016
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces. Zbl 1341.47045
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Möws, Roland; Trunk, Carsten
2016
Boundary triples for Schrödinger operators with singular interactions on hypersurfaces. Zbl 1353.47043
Behrndt, J.; Langer, M.; Lotoreichik, V.
2016
Dirichlet-to-Neumann maps on bounded Lipschitz domains. Zbl 1344.35032
Behrndt, J.; ter Elst, A. F. M.
2015
Spectral analysis of selfadjoint elliptic differential operators, Dirichlet-to-Neumann maps, and abstract Weyl functions. Zbl 1344.47018
Behrndt, Jussi; Rohleder, Jonathan
2015
Spectral asymptotics for resolvent differences of elliptic operators with $$\delta$$ and $$\delta^{'}$$-interactions on hypersurfaces. Zbl 1353.47090
Behrndt, Jussi; Grubb, Gerd; Langer, Matthias; Lotoreichik, Vladimir
2015
The effect of finite rank perturbations on Jordan chains of linear operators. Zbl 1412.47007
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Trunk, Carsten
2015
Schrödinger operators with $$\delta$$- and $$\delta'$$-interactions on Lipschitz surfaces and chromatic numbers of associated partitions. Zbl 1326.47050
Behrndt, Jussi; Exner, Pavel; Lotoreichik, Vladimir
2014
Schrödinger operators with $$\delta$$-interactions supported on conical surfaces. Zbl 1297.35154
Behrndt, J.; Exner, P.; Lotoreichik, V.
2014
Elliptic differential operators on Lipschitz domains and abstract boundary value problems. Zbl 1300.35026
Behrndt, Jussi; Micheler, Till
2014
Estimates on the non-real eigenvalues of regular indefinite Sturm-Liouville problems. Zbl 1325.34098
Behrndt, Jussi; Chen, Shaozhu; Philipp, Friedrich; Qi, Jiangang
2014
On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps. Zbl 1348.47009
Behrndt, Jussi; Möws, Roland; Trunk, Carsten
2014
Antitonicity of the inverse for selfadjoint matrices, operators, and relations. Zbl 1300.47010
Behrndt, Jussi; Hassi, Seppo; Wietsma, Hendrik; de Snoo, Henk
2014
Schrödinger operators with $$\delta$$ and $$\delta^{\prime}$$-potentials supported on hypersurfaces. Zbl 1275.81027
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
Bounds on the non-real spectrum of differential operators with indefinite weights. Zbl 1281.47024
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
2013
Spectral estimates for resolvent differences of self-adjoint elliptic operators. Zbl 1311.47059
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators. Zbl 1296.35097
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir
2013
On the negative squares of a class of self-adjoint extensions in Krein spaces. Zbl 1275.47084
Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten
2013
An open problem: accumulation of nonreal eigenvalues of indefinite Sturm-Liouville operators. Zbl 1283.47052
Behrndt, Jussi
2013
Spectral theory of elliptic differential operators with indefinite weights. Zbl 1400.35085
Behrndt, Jussi
2013
Linear fractional transformations of Nevanlinna functions associated with a nonnegative operator. Zbl 1311.30033
Behrndt, Jussi; Hassi, Seppo; De Snoo, Henk; Wietsma, Rudi; Winkler, Henrik
2013
Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples. Zbl 1331.47067
Behrndt, Jussi; Langer, Matthias
2012
An inverse problem of Calderón type with partial data. Zbl 1244.35164
Behrndt, Jussi; Rohleder, Jonathan
2012
Limit properties of monotone matrix functions. Zbl 1235.26008
Behrndt, Jussi; Hassi, Seppo; De Snoo, Henk; Wietsma, Rudi
2012
Mini-workshop: Boundary value problems and spectral geometry. Abstracts from the mini-workshop held January 1–7, 2012. Zbl 1349.00057
Behrndt, Jussi (ed.); Pankrashkin, Konstantin (ed.); Post, Olaf (ed.)
2012
Square-integrable solutions and Weyl functions for singular canonical systems. Zbl 1232.34037
Behrndt, Jussi; Hassi, Seppo; De Snoo, Henk; Wietsma, Rudi
2011
Spectral points of definite type and type $$\pi$$ for linear operators and relations in Krein spaces. Zbl 1220.47052
Azizov, T. Ya.; Behrndt, J.; Jonas, P.; Trunk, C.
2011
A realization theorem for generalized Nevanlinna families. Zbl 1255.46011
Behrndt, J.; Derkach, V. A.; Hassi, S.; de Snoo, H. S. V.
2011
Eigenvalue estimates for singular left-definite Sturm-Liouville operators. Zbl 1235.34225
Behrndt, Jussi; Möws, Roland; Trunk, Carsten
2011
On the number of negative eigenvalues of the Laplacian on a metric graph. Zbl 1204.81076
Behrndt, Jussi; Luger, Annemarie
2010
Dirac structures and their composition on Hilbert spaces. Zbl 1209.47016
Kurula, Mikael; Zwart, Hans; van der Schaft, Arjan; Behrndt, Jussi
2010
Spectral analysis of singular ordinary differential operators with indefinite weights. Zbl 1197.34167
Behrndt, Jussi; Philipp, Friedrich
2010
A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains. Zbl 1198.35159
Behrndt, Jussi; Langer, Matthias; Lobanov, Igor; Lotoreichik, Vladimir; Popov, Igor Yu.
2010
Monotone convergence theorems for semi-bounded operators and forms with applications. Zbl 1200.47022
Behrndt, Jussi; Hassi, Seppo; de Snoo, Henk; Wietsma, Rudi
2010
Elliptic boundary value problems with $$\lambda$$-dependent boundary conditions. Zbl 1203.35086
Behrndt, Jussi
2010
On the adjoint of a symmetric operator. Zbl 1209.47010
Behrndt, Jussi; Langer, Matthias
2010
Finite rank perturbations, scattering matrices and inverse problems. Zbl 1192.47008
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
2010
Recent advances in operator theory in Hilbert and Krein spaces. Papers of the 7th workshop on operator theory in Krein spaces and spectral analysis, TU Berlin, Germany, December 13–16, 2007. Dedicated to Peter Jonas. Zbl 1181.47004
Behrndt, Jussi (ed.); Förster, Karl-Heinz (ed.); Trunk, Carsten (ed.)
2010
Generalized $$Q$$-functions and Dirichlet-to-Neumann maps for elliptic differential operators. Zbl 1179.47041
Alpay, Daniel; Behrndt, Jussi
2009
Non-real eigenvalues of singular indefinite Sturm-Liouville operators. Zbl 1182.47036
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten
2009
Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces. Zbl 1194.47016
Azizov, Tomas Ya.; Behrndt, Jussi; Jonas, Peter; Trunk, Carsten
2009
Boundary relations, unitary colligations, and functional models. Zbl 1186.47007
Behrndt, Jussi; Hassi, Seppo; De Snoo, Henk
2009
Boundary value problems with eigenvalue depending boundary conditions. Zbl 1177.47088
Behrndt, Jussi
2009
On domains of powers of linear operators and finite rank perturbations. Zbl 1177.47004
Azizov, Tomas Ya.; Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
2009
On Kreĭn’s formula. Zbl 1179.47023
Behrndt, Jussi; De Snoo, Henk
2009
Realization of nonstrict matrix Nevanlinna functions as Weyl functions of symmetric operators in Pontryagin spaces. Zbl 1166.47035
Behrndt, Jussi
2009
Trace formulae for dissipative and coupled scattering systems. Zbl 1175.47008
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
2009
Scattering matrices and Weyl functions. Zbl 1161.47008
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
2008
Functional models for Nevanlinna families. Zbl 1183.47004
Behrndt, Jussi; Hassi, Seppo; de Snoo, Henk
2008
On finite rank perturbations of definitizable operators. Zbl 1127.47034
Azizov, Tomas Ya.; Behrndt, Jussi; Trunk, Carsten
2008
Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators. Zbl 1140.81375
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten
2008
On Eisenbud’s and Wigner’s $$R$$-matrix: A general approach. Zbl 1158.34052
Behrndt, Jussi; Neidhardt, Hagen; Racec, Elena R.; Racec, Paul N.; Wulf, Ulrich
2008
Boundary value problems for elliptic partial differential operators on bounded domains. Zbl 1132.47038
Behrndt, Jussi; Langer, Matthias
2007
On the negative squares of indefinite Sturm–Liouville operators. Zbl 1123.47033
Behrndt, Jussi; Trunk, Carsten
2007
Scattering theory for open quantum systems with finite rank coupling. Zbl 1144.81480
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
2007
On the spectral theory of singular indefinite Sturm-Liouville operators. Zbl 1126.34052
Behrndt, Jussi
2007
Finite rank perturbations of locally definitizable self-adjoint operators in Krein spaces. Zbl 1164.47042
Behrndt, Jussi
2007
An analytic characterization of the eigenvalues of self-adjoint extensions. Zbl 1114.47037
Behrndt, Jussi; Luger, Annemarie
2007
Generalized resolvents of a class of symmetric operators in Krein spaces. Zbl 1138.47030
Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten
2007
Boundary relations and generalized resolvents of symmetric operators in Krein spaces. Zbl 1160.47034
Behrndt, Jussi; Kreusler, Hans-Christian
2007
Boundary value problems with local generalized Nevanlinna functions in the boundary condition. Zbl 1121.47029
Behrndt, Jussi; Jonas, Peter
2006
Sturm–Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions. Zbl 1099.34018
Behrndt, Jussi; Trunk, Carsten
2006
Properties of the spectrum of type $$\pi_+$$ and type $$\pi_-$$ of self-adjoint operators in Krein spaces. Zbl 1118.47028
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
2006
A class of abstract boundary value problems with locally definitizable functions in the boundary condition. Zbl 1127.47035
Behrndt, Jussi
2006
On compact perturbations of locally definitizable selfadjoint relations in Krein spaces. Zbl 1083.47030
Behrndt, Jussi; Jonas, Peter
2005
On generalized resolvents of symmetric operators of defect one with finitely many negative squares. Zbl 1107.47025
Behrndt, Jussi; Trunk, Carsten
2005
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#### Cited by 369 Authors

 58 Behrndt, Jussi 28 Lotoreichik, Vladimir 19 Exner, Pavel 19 Trunk, Carsten 15 Malamud, Mark M. 15 Pankrashkin, Konstantin 14 Gesztesy, Fritz 12 Posilicano, Andrea 11 Hassi, Seppo 10 de Snoo, Hendrik S. V. 10 Neidhardt, Hagen 10 Rohleder, Jonathan 9 Holzmann, Markus 9 Langer, Matthias 9 Mantile, Andrea 9 Ourmiéres-Bonafos, Thomas 9 Popov, Igor’ Yur’evich 8 Philipp, Friedrich 8 ter Elst, Antonius Frederik Maria 7 Derkach, Vladimir Alexandrovich 7 Grubb, Gerd 7 Mitrea, Marius 7 Mogilevskii, Vadim 7 Shi, Yuming 6 Kurula, Mikael 6 Qi, Jiangang 5 Azizov, Tomas Ya. 5 Kerner, Joachim 5 Krejčiřík, David 5 Naboko, Serguei N. 5 Nichols, Roger 5 Weder, Ricardo A. 5 Winkler, Henrik 5 Wood, Ian Geoffrey 4 Colombo, Fabrizio 4 Cox, Graham 4 Dauge, Monique 4 Dijksma, Aad 4 Kostenko, Aleksey S. 4 Latushkin, Yuri 4 Luger, Annemarie 4 Mas, Albert 4 Möws, Roland 4 Sini, Mourad 3 Albeverio, Sergio A. 3 Arendt, Wolfgang 3 Ball, Joseph Anthony 3 Boitsev, A. A. 3 Brasche, Johannes Friedemann 3 Brown, B. Malcolm 3 Cacciapuoti, Claudio 3 Chen, Shaozhu 3 Ćurgus, Branko 3 Denk, Robert 3 Gao, Chenghua 3 Granovskyi, Yaroslav I. 3 Jex, Michal 3 Jones, Christopher K. R. T. 3 Jørgensen, Palle E. T. 3 Khrabustovskyi, Andrii 3 Kondej, Sylwia 3 Lampart, Jonas 3 Langer, Heinz 3 Liu, Yan 3 Martínez Pería, Francisco D. 3 Pizzichillo, Fabio 3 Rabinovich, Vladimir Samuilovich 3 Sakhnovich, Alexander L. 3 Silva, Luis O. 3 Staffans, Olof Johan 3 Sukhtaiev, Selim 3 Sukhtayev, Alim 3 Wietsma, Hendrik Luit 3 Wietsma, Rudi 3 Xie, Bing 3 Xu, Guixin 3 Zinchenko, Maxim 3 Zwart, Hans J. 2 Aharonov, Yakir 2 Alazard, Daniel 2 Ashbaugh, Mark S. 2 Baidiuk, Dmytro V. 2 Benharrat, Mohammed 2 Bolte, Jens 2 Brugnoli, Andrea 2 Bruneau, Vincent 2 Cardone, Giuseppe 2 Carlone, Raffaele 2 Cherednichenko, Kirill D. 2 Cuenin, Jean-Claude 2 Dittrich, Jaroslav 2 Dobosevych, Oles 2 Eckhardt, Jonathan 2 Egger, Sebastian 2 Fermi, Davide 2 Hryniv, Rostyslav O. 2 Hussein, Amru 2 Ibrogimov, Orif O. 2 Jonas, Peter 2 Katatbeh, Qutaibeh Deeb ...and 269 more Authors
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#### Cited in 106 Serials

 26 Journal of Mathematical Analysis and Applications 26 Journal of Differential Equations 23 Integral Equations and Operator Theory 20 Journal of Functional Analysis 19 Journal of Mathematical Physics 18 Complex Analysis and Operator Theory 14 Mathematische Nachrichten 11 Annales Henri Poincaré 10 Linear Algebra and its Applications 7 Advances in Mathematics 6 Journal d’Analyse Mathématique 6 Letters in Mathematical Physics 6 Reviews in Mathematical Physics 6 Proceedings of the American Mathematical Society 6 Journal of Evolution Equations 6 Journal of Spectral Theory 5 Russian Journal of Mathematical Physics 4 Applicable Analysis 4 Mathematical Notes 4 Opuscula Mathematica 4 Operators and Matrices 3 Communications in Mathematical Physics 3 Physics Letters. A 3 Reports on Mathematical Physics 3 Mathematische Annalen 3 Results in Mathematics 3 Transactions of the American Mathematical Society 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Mathematical Sciences (New York) 3 Mathematical Physics, Analysis and Geometry 3 Complex Variables and Elliptic Equations 3 Journal of Physics A: Mathematical and Theoretical 3 Discrete and Continuous Dynamical Systems. Series S 2 Inverse Problems 2 Journal of Computational Physics 2 Linear and Multilinear Algebra 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Mathematica Slovaca 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Applied Mathematical Modelling 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Potential Analysis 2 Communications on Pure and Applied Analysis 2 Banach Journal of Mathematical Analysis 2 Quantum Studies: Mathematics and Foundations 2 Advances in Operator Theory 1 Analysis Mathematica 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Functional Analysis and its Applications 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Semigroup Forum 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 The Journal of Geometric Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Turkish Journal of Mathematics 1 Journal of Convex Analysis 1 Journal of Difference Equations and Applications 1 Sbornik: Mathematics 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Positivity 1 Lobachevskii Journal of Mathematics 1 Applied Mathematics E-Notes 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Journal of Function Spaces and Applications 1 International Journal of Geometric Methods in Modern Physics 1 Mediterranean Journal of Mathematics 1 Foundations of Physics 1 Boundary Value Problems 1 Proceedings of the Steklov Institute of Mathematics 1 Networks and Heterogeneous Media 1 Mathematical Modelling of Natural Phenomena 1 Analysis & PDE 1 Differential Equations and Applications 1 International Journal of Differential Equations 1 Annals of Functional Analysis 1 Symmetry ...and 6 more Serials
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#### Cited in 38 Fields

 238 Operator theory (47-XX) 146 Partial differential equations (35-XX) 100 Quantum theory (81-XX) 85 Ordinary differential equations (34-XX) 43 Functional analysis (46-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Functions of a complex variable (30-XX) 11 Difference and functional equations (39-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Systems theory; control (93-XX) 7 Numerical analysis (65-XX) 7 Mechanics of deformable solids (74-XX) 7 Optics, electromagnetic theory (78-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Combinatorics (05-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 3 Information and communication theory, circuits (94-XX) 2 Algebraic geometry (14-XX) 2 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX)