Edit Profile (opens in new tab) Kurasov, Pavel B. Co-Author Distance Author ID: kurasov.pavel-b Published as: Kurasov, Pavel; Kurasov, P.; Kurasov, P. B.; Kurasov, Pavel B. more...less External Links: MGP Documents Indexed: 102 Publications since 1988, including 2 Books and 4 Additional arXiv Preprints 11 Contributions as Editor Reviewing Activity: 5 Reviews Co-Authors: 72 Co-Authors with 88 Joint Publications 1,854 Co-Co-Authors all top 5 Co-Authors 22 single-authored 14 Albeverio, Sergio A. 14 Naboko, Serguei N. 8 Laptev, Ari 8 Mugnolo, Delio 8 Pavlov, Boris Sergeevich 5 Boman, Jan 5 Janas, Jan 5 Kennedy, James Bernard 4 Fei, Shaoming 4 Simon, Barry 4 Stolz, Gunter 3 Berkolaiko, Gregory 3 Luger, Annemarie 3 Muller, Jacob 3 Nowaczyk, Marlena 2 Andersson, Mats 2 Avdonin, Sergeĭ Anatol’evich 2 Demkov, Yu. N. 2 Kiselman, Christer Oscar 2 Malenová, Gabriela 2 Melnikov, Yuri B. 2 Ogik, Rao 2 Serio, Andrea 2 Sigurðsson, Ragnar 2 Suhr, Rune 2 Usman, Muhammad 2 Watanabe, Kazuo 2 Wolf, Verena 1 Astudillo, María R. 1 Atay, Fatihcan M. 1 Bauch, Szymon 1 Białous, Małgorzata 1 Brown, Malcolm W. 1 Dabrowski, Ludwik 1 Dijksma, Aad 1 Elander, Nils 1 Enerbäck, Magnus 1 Everitt, William Norrie 1 Garjani, B. Majidzadeh 1 Gesztesy, Fritz 1 Haake, Fritz 1 Karreskog, G. 1 Kiik, Jean-Claude 1 Koshmanenko, Volodymyr Dmytrovych 1 Kuperin, Yuri A. 1 Kupersmidt, I. Trygg 1 Kuroda, Shige Toshi 1 Kuś, Marek 1 Ławniczak, Michał 1 Lelyavin, Igor 1 Léna, Corentin 1 Lück, Alexander 1 Merkur’ev, Stanislav Petrovich 1 Naboko, Naboko 1 Neuner, Christoph 1 Nizhnik, Leonid Pavlovich 1 Ostrovsky, Valentine N. 1 Packalen, Karel 1 Passare, Galina 1 Passare, Mikael 1 Pavlov, Yuri V. 1 Pistol, Mats-Erik 1 Posilicano, Andrea 1 Rauf, Amar 1 Rohleder, Jonathan 1 Sarnak, Peter Clive 1 Šeba, Petr 1 Shondin, Yuri 1 Simonov, Sergey A. 1 Sirko, Leszek 1 Stenberg, Fredrik 1 Wood, Ian Geoffrey 1 Yunko, Vitalii all top 5 Serials 10 Operator Theory: Advances and Applications 7 Letters in Mathematical Physics 7 Proceedings of the American Mathematical Society 6 Journal of Physics A: Mathematical and General 5 Journal of Mathematical Physics 5 Reports on Mathematical Physics 4 Integral Equations and Operator Theory 3 Journal of Mathematical Analysis and Applications 3 Annales Henri Poincaré 3 Inverse Problems and Imaging 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Functional Analysis 2 Journal of Operator Theory 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Opuscula Mathematica 2 Mathematical Physics, Analysis and Geometry 2 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Physics Letters. A 1 Studia Mathematica 1 Teoreticheskaya i Matematicheskaya Fizika 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Annals of Physics 1 Calculus of Variations and Partial Differential Equations 1 Journal of Nonlinear Mathematical Physics 1 London Mathematical Society Lecture Note Series 1 Operators and Matrices 1 Advances in Mathematical Physics 1 Journal of Spectral Theory 1 Vestnik Leningradskogo Universiteta. Seriya 4. Fizika, Khimiya 1 Trends in Mathematics all top 5 Fields 74 Quantum theory (81-XX) 50 Operator theory (47-XX) 43 Partial differential equations (35-XX) 33 Ordinary differential equations (34-XX) 11 General and overarching topics; collections (00-XX) 11 Combinatorics (05-XX) 6 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 History and biography (01-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-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 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 85 Publications have been cited 1,162 times in 626 Documents Cited by ▼ Year ▼ Singular perturbations of differential operators. Solvable Schrödinger type operators. Zbl 0945.47015 Albeverio, S.; Kurasov, P. 187 1999 Inverse spectral problem for quantum graphs. Zbl 1070.81112 Kurasov, Pavel; Nowaczyk, Marlena 70 2005 Distribution theory for discontinuous test functions and differential operators with generalized coefficients. Zbl 0878.46030 Kurasov, P. 47 1996 Inverse problems for quantum trees. Zbl 1148.35356 Avdonin, Sergei; Kurasov, Pavel 47 2008 On the inverse scattering problem on branching graphs. Zbl 1012.81053 Kurasov, P.; Stenberg, F. 40 2002 Surgery principles for the spectral analysis of quantum graphs. Zbl 1451.34029 Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio 40 2019 On the spectral gap of a quantum graph. Zbl 1354.34057 Kennedy, James B.; Kurasov, Pavel; Malenová, Gabriela; Mugnolo, Delio 37 2016 Rayleigh estimates for differential operators on graphs. Zbl 1301.34108 Kurasov, Pavel; Naboko, Naboko 35 2014 Edge connectivity and the spectral gap of combinatorial and quantum graphs. Zbl 1456.81193 Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio 32 2017 Symmetries of Schrödinger operators with point interactions. Zbl 0909.34074 Albeverio, S.; Dabrowski, L.; Kurasov, P. 31 1998 Spectral gap for quantum graphs and their edge connectivity. Zbl 1270.81100 Kurasov, P.; Malenová, G.; Naboko, S. 30 2013 Symmetries of quantum graphs and the inverse scattering problem. Zbl 1072.81059 Boman, Jan; Kurasov, Pavel 25 2005 An operator theoretic interpretation of the generalized Titchmarsh-Weyl coefficient for a singular Sturm-Liouville problem. Zbl 1267.34052 Kurasov, Pavel; Luger, Annemarie 24 2011 Geometric properties of quantum graphs and vertex scattering matrices. Zbl 1236.81098 Kurasov, Pavel; Nowaczyk, Marlena 22 2010 Graph Laplacians and topology. Zbl 1205.47044 Kurasov, Pavel 22 2008 Point interactions: \(\mathcal{PT}\)-Hermiticity and reality of the spectrum. Zbl 1053.81026 Albeverio, Sergio; Fei, Shao-Ming; Kurasov, Pavel 21 2002 Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166 Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena 18 2010 Schrödinger operators on graphs and geometry I: Essentially bounded potentials. Zbl 1140.81387 Kurasov, Pavel 17 2008 Inverse problems for Aharonov-Bohm rings. Zbl 1200.81072 Kurasov, P. 17 2010 High order singular rank one perturbations of a positive operator. Zbl 1104.47024 Dijksma, A.; Kurasov, P.; Shondin, Yu. 16 2005 Schrödinger operators on graphs and geometry. II: Spectral estimates for \(L_1\)-potentials and an Ambartsumian theorem. Zbl 1403.34030 Boman, Jan; Kurasov, Pavel; Suhr, Rune 16 2018 Finite rank singular perturbations and distributions with discontinuous test functions. Zbl 0894.34079 Kurasov, P.; Boman, J. 15 1998 Rank one perturbations of not semibounded operators. Zbl 0901.47004 Albeverio, S.; Kurasov, P. 15 1997 Rank one perturbations, approximations, and selfadjoint extensions. Zbl 0908.47010 Albeverio, S.; Kurasov, P. 15 1997 On the Coulomb potential in one dimension. Zbl 0916.34074 Kurasov, P. 14 1996 Schrödinger operators on graphs: symmetrization and Eulerian cycles. Zbl 1355.34053 Karreskog, G.; Kurasov, Pavel; Kupersmidt, I. Trygg 14 2016 Wigner-von Neumann perturbations of a periodic potential: spectral singularities in bands. Zbl 1170.34355 Kurasov, Pavel; Naboko, Serguei 13 2007 Stable polynomials and crystalline measures. Zbl 1459.05177 Kurasov, P.; Sarnak, P. 13 2020 On the essential spectrum of a class of singular matrix differential operators. I: Quasiregularity conditions and essential self-adjointness. Zbl 1043.47006 Kurasov, Pavel; Naboko, Serguei 12 2002 \({\mathcal H}_{-n}\)-perturbations of self-adjoint operators and Krein’s resolvent formula. Zbl 1031.47016 Kurasov, Pavel 12 2003 On the ground state for quantum graphs. Zbl 1428.81085 Kurasov, Pavel 12 2019 Finite speed of propagation and local boundary conditions for wave equations with point interactions. Zbl 1113.47063 Kurasov, Pavel; Posilicano, Andrea 11 2005 Triplet extensions. I: Semibounded operators in the scale of Hilbert spaces. Zbl 1190.47018 Kurasov, Pavel 10 2009 Spectral asymptotics for Schrödinger operators with periodic point interactions. Zbl 1006.34081 Kurasov, P.; Larson, J. 10 2002 Stochastic hybrid models of gene regulatory networks – a PDE approach. Zbl 1412.35344 Kurasov, Pavel; Lück, Alexander; Mugnolo, Delio; Wolf, Verena 10 2018 A theory of spectral partitions of metric graphs. Zbl 1462.35222 Kennedy, James B.; Kurasov, Pavel; Léna, Corentin; Mugnolo, Delio 10 2021 Singular and supersingular perturbations: Hilbert space methods. Zbl 1062.47022 Kurasov, P. 9 2004 On vertex conditions for elastic systems. Zbl 1343.74025 Kiik, Jean-Claude; Kurasov, Pavel; Usman, Muhammad 9 2015 Inverse scattering for lasso graph. Zbl 1281.81038 Kurasov, Pavel 9 2013 \(\mathcal{RT}\)-symmetric Laplace operators on star graphs: real spectrum and self-adjointness. Zbl 1337.81062 Astudillo, Maria; Kurasov, Pavel; Usman, Muhammad 8 2015 On \(H_{-4}\)-perturbations of self-adjoint operators. Zbl 1032.47012 Kurasov, Pavel; Watanabe, Kazuo 7 2001 Krein’s resolvent formula and perturbation theory. Zbl 1070.47008 Kurasov, P.; Kuroda, S. T. 7 2004 Zero-range potentials with internal structures and the inverse scattering problem. Zbl 0761.35075 Kurasov, P. B. 7 1992 Weyl-Titchmarsh-type formula for periodic Schrödinger operator with Wigner-von Neumann potential. Zbl 1305.34149 Kurasov, Pavel; Simonov, Sergey 7 2013 Schrödinger operators on graphs and geometry. III. General vertex conditions and counterexamples. Zbl 1400.81112 Kurasov, P.; Suhr, R. 7 2018 Scattering matrices with finite phase shift and the inverse scattering problem. Zbl 0848.34073 Kurasov, Pavel 6 1996 Aharonov-Bohm ring touching a quantum wire: how to model it and to solve the inverse problem. Zbl 1250.81038 Kurasov, Pavel; Enerbäck, Magnus 6 2011 Spectral gap for complete graphs: upper and lower estimates. Zbl 1335.05110 Kurasov, Pavel 6 2015 Quantum graphs: \(\mathcal{PT}\)-symmetry and reflection symmetry of the spectrum. Zbl 1357.81099 Kurasov, P.; Majidzadeh Garjani, B. 6 2017 On the essential spectrum of a class of singular matrix differential operators. II: Weyl’s limit circles for the Hain–Lüst operator whenever quasi-regularity conditions are not satisfied. Zbl 1158.47028 Kurasov, Pavel; Lelyavin, Igor; Naboko, Serguei 5 2008 On rank one \(H_{-3}\)-perturbations of positive self-adjoint operators. Zbl 0986.47023 Kurasov, Pavel; Watanabe, Kazuo 5 2000 Finite rank perturbations and distribution theory. Zbl 0913.47012 Albeverio, S.; Kurasov, P. 5 1999 \(S\)-matrix, resonances, and wave functions for transport through billiards with leads. Zbl 0891.47049 Albeverio, S.; Haake, F.; Kurasov, P.; Kuś, M.; Šeba, P. 5 1996 On reflectionless equi-transmitting matrices. Zbl 1330.81098 Kurasov, Pavel; Ogik, Rao; Rauf, Amar 5 2014 \(n\)-Laplacians on metric graphs and almost periodic functions. I. Zbl 1467.35108 Kurasov, Pavel; Muller, Jacob 5 2021 Can one distinguish quantum trees from the boundary? Zbl 1278.34028 Kurasov, Pavel 5 2012 Asymptotically isospectral quantum graphs and generalised trigonometric polynomials. Zbl 1436.81050 Kurasov, Pavel; Suhr, Rune 5 2020 On the sharpness of spectral estimates for graph Laplacians. Zbl 1402.81160 Kurasov, Pavel; Serio, Andrea 5 2018 Gauge fields, point interactions and few-body problems in one dimension. Zbl 1138.81373 Albeverio, S.; Fei, S.-M.; Kurasov, P. 4 2004 An electron in a homogeneous crystal of point-like atoms with internal structure. II. Zbl 1268.81144 Kurasov, Pavel B.; Pavlov, B. S. 4 1988 Many body problems with “spin”-related contact interactions. Zbl 0978.81085 Albeverio, S.; Fei, S.-M.; Kurasov, P. 3 2001 On approximations of rank one \({\mathcal H}_{-2}\)-perturbations. Zbl 1022.47009 Albeverio, S.; Koshmanenko, V.; Kurasov, P.; Nizhnik, L. 3 2003 Response to “Comment on ‘On the Coulomb potential in one dimension’ ” by Fischer, Leschke and Müller. Zbl 1042.81529 Kurasov, P. 3 1997 Inverse scattering transformation for positons. Zbl 0930.35157 Kurasov, P.; Packalén, K. 3 1999 On field theory methods in singular perturbation theory. Zbl 1038.81025 Kurasov, P.; Pavlov, Yu. V. 3 2003 Essential spectrum due to singularity. Zbl 1362.34124 Kurasov, Pavel; Naboko, Serguei 3 2003 On integrability of many-body problems with point interactions. Zbl 1064.70015 Albeverio, S.; Fei, S. M.; Kurasov, P. 3 2002 Analytic solutions for stochastic hybrid models of gene regulatory networks. Zbl 1459.35362 Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena 3 2021 Von Neumann-Wigner theorem: Level repulsion and degenerate eigenvalues. Zbl 1136.81368 Demkov, Yu. N.; Kurasov, P. B. 2 2007 Singular cluster interactions in few-body problems. Zbl 1096.81534 Albeverio, S.; Kurasov, P. 2 2001 Connections and effective S-matrix in triangle representation for quantum scattering. Zbl 0733.58042 Kuperin, Yu. A.; Kurasov, P. B.; Melnikov, Yu. B.; Merkuriev, S. P. 2 1991 Reflectionless potentials and point interactions in Pontryagin spaces. Zbl 1094.81053 Kurasov, Pavel; Luger, Annemarie 2 2005 Doubly periodical in time and energy exactly soluble system with two interacting systems of states. Zbl 0877.47037 Demkov, Yu. N.; Kurasov, P. B.; Ostrovsky, V. N. 2 1995 Pseudodifferential operators with point interactions. Zbl 0883.35138 Albeverio, S.; Kurasov, P. 2 1997 On supersingular perturbations of non-semibounded self-adjoint operators. Zbl 1424.47056 Kurasov, Pavel; Luger, Annemarie; Neuner, Christoph 2 2019 Operator methods in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP) 2010, Bedlewo, Poland. Zbl 1257.00017 1 2013 Scattering from an impurity: Lax-Phillips approach. Zbl 1067.65085 Kurasov, P. 1 2001 On the inverse scattering problem for rational reflection coefficients. Zbl 0801.47006 Kurasov, P. B. 1 1993 On equi-transmitting matrices. Zbl 1365.34147 Kurasov, Pavel; Ogik, Rao 1 2016 Analysis meets geometry. The Mikael Passare memorial volume. Zbl 1381.32001 1 2017 Gluing graphs and the spectral gap: a Titchmarsh-Weyl matrix-valued function approach. Zbl 1480.81059 Kurasov, Pavel; Naboko, Sergei 1 2020 Optimal potentials for quantum graphs. Zbl 1411.35215 Kurasov, Pavel; Serio, Andrea 1 2019 Spectral geometry of graphs. Zbl 07779805 Kurasov, Pavel 1 2024 Laplacians on bipartite metric graphs. Zbl 1462.81097 Kurasov, Pavel; Rohleder, Jonathan 1 2020 On the spectral gap for networks of beams. Zbl 1476.34082 Kurasov, Pavel; Muller, Jacob 1 2021 Spectral geometry of graphs. Zbl 07779805 Kurasov, Pavel 1 2024 A theory of spectral partitions of metric graphs. Zbl 1462.35222 Kennedy, James B.; Kurasov, Pavel; Léna, Corentin; Mugnolo, Delio 10 2021 \(n\)-Laplacians on metric graphs and almost periodic functions. I. Zbl 1467.35108 Kurasov, Pavel; Muller, Jacob 5 2021 Analytic solutions for stochastic hybrid models of gene regulatory networks. Zbl 1459.35362 Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena 3 2021 On the spectral gap for networks of beams. Zbl 1476.34082 Kurasov, Pavel; Muller, Jacob 1 2021 Stable polynomials and crystalline measures. Zbl 1459.05177 Kurasov, P.; Sarnak, P. 13 2020 Asymptotically isospectral quantum graphs and generalised trigonometric polynomials. Zbl 1436.81050 Kurasov, Pavel; Suhr, Rune 5 2020 Gluing graphs and the spectral gap: a Titchmarsh-Weyl matrix-valued function approach. Zbl 1480.81059 Kurasov, Pavel; Naboko, Sergei 1 2020 Laplacians on bipartite metric graphs. Zbl 1462.81097 Kurasov, Pavel; Rohleder, Jonathan 1 2020 Surgery principles for the spectral analysis of quantum graphs. Zbl 1451.34029 Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio 40 2019 On the ground state for quantum graphs. Zbl 1428.81085 Kurasov, Pavel 12 2019 On supersingular perturbations of non-semibounded self-adjoint operators. Zbl 1424.47056 Kurasov, Pavel; Luger, Annemarie; Neuner, Christoph 2 2019 Optimal potentials for quantum graphs. Zbl 1411.35215 Kurasov, Pavel; Serio, Andrea 1 2019 Schrödinger operators on graphs and geometry. II: Spectral estimates for \(L_1\)-potentials and an Ambartsumian theorem. Zbl 1403.34030 Boman, Jan; Kurasov, Pavel; Suhr, Rune 16 2018 Stochastic hybrid models of gene regulatory networks – a PDE approach. Zbl 1412.35344 Kurasov, Pavel; Lück, Alexander; Mugnolo, Delio; Wolf, Verena 10 2018 Schrödinger operators on graphs and geometry. III. General vertex conditions and counterexamples. Zbl 1400.81112 Kurasov, P.; Suhr, R. 7 2018 On the sharpness of spectral estimates for graph Laplacians. Zbl 1402.81160 Kurasov, Pavel; Serio, Andrea 5 2018 Edge connectivity and the spectral gap of combinatorial and quantum graphs. Zbl 1456.81193 Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio 32 2017 Quantum graphs: \(\mathcal{PT}\)-symmetry and reflection symmetry of the spectrum. Zbl 1357.81099 Kurasov, P.; Majidzadeh Garjani, B. 6 2017 Analysis meets geometry. The Mikael Passare memorial volume. Zbl 1381.32001 1 2017 On the spectral gap of a quantum graph. Zbl 1354.34057 Kennedy, James B.; Kurasov, Pavel; Malenová, Gabriela; Mugnolo, Delio 37 2016 Schrödinger operators on graphs: symmetrization and Eulerian cycles. Zbl 1355.34053 Karreskog, G.; Kurasov, Pavel; Kupersmidt, I. Trygg 14 2016 On equi-transmitting matrices. Zbl 1365.34147 Kurasov, Pavel; Ogik, Rao 1 2016 On vertex conditions for elastic systems. Zbl 1343.74025 Kiik, Jean-Claude; Kurasov, Pavel; Usman, Muhammad 9 2015 \(\mathcal{RT}\)-symmetric Laplace operators on star graphs: real spectrum and self-adjointness. Zbl 1337.81062 Astudillo, Maria; Kurasov, Pavel; Usman, Muhammad 8 2015 Spectral gap for complete graphs: upper and lower estimates. Zbl 1335.05110 Kurasov, Pavel 6 2015 Rayleigh estimates for differential operators on graphs. Zbl 1301.34108 Kurasov, Pavel; Naboko, Naboko 35 2014 On reflectionless equi-transmitting matrices. Zbl 1330.81098 Kurasov, Pavel; Ogik, Rao; Rauf, Amar 5 2014 Spectral gap for quantum graphs and their edge connectivity. Zbl 1270.81100 Kurasov, P.; Malenová, G.; Naboko, S. 30 2013 Inverse scattering for lasso graph. Zbl 1281.81038 Kurasov, Pavel 9 2013 Weyl-Titchmarsh-type formula for periodic Schrödinger operator with Wigner-von Neumann potential. Zbl 1305.34149 Kurasov, Pavel; Simonov, Sergey 7 2013 Operator methods in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP) 2010, Bedlewo, Poland. Zbl 1257.00017 1 2013 Can one distinguish quantum trees from the boundary? Zbl 1278.34028 Kurasov, Pavel 5 2012 An operator theoretic interpretation of the generalized Titchmarsh-Weyl coefficient for a singular Sturm-Liouville problem. Zbl 1267.34052 Kurasov, Pavel; Luger, Annemarie 24 2011 Aharonov-Bohm ring touching a quantum wire: how to model it and to solve the inverse problem. Zbl 1250.81038 Kurasov, Pavel; Enerbäck, Magnus 6 2011 Geometric properties of quantum graphs and vertex scattering matrices. Zbl 1236.81098 Kurasov, Pavel; Nowaczyk, Marlena 22 2010 Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166 Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena 18 2010 Inverse problems for Aharonov-Bohm rings. Zbl 1200.81072 Kurasov, P. 17 2010 Triplet extensions. I: Semibounded operators in the scale of Hilbert spaces. Zbl 1190.47018 Kurasov, Pavel 10 2009 Inverse problems for quantum trees. Zbl 1148.35356 Avdonin, Sergei; Kurasov, Pavel 47 2008 Graph Laplacians and topology. Zbl 1205.47044 Kurasov, Pavel 22 2008 Schrödinger operators on graphs and geometry I: Essentially bounded potentials. Zbl 1140.81387 Kurasov, Pavel 17 2008 On the essential spectrum of a class of singular matrix differential operators. II: Weyl’s limit circles for the Hain–Lüst operator whenever quasi-regularity conditions are not satisfied. Zbl 1158.47028 Kurasov, Pavel; Lelyavin, Igor; Naboko, Serguei 5 2008 Wigner-von Neumann perturbations of a periodic potential: spectral singularities in bands. Zbl 1170.34355 Kurasov, Pavel; Naboko, Serguei 13 2007 Von Neumann-Wigner theorem: Level repulsion and degenerate eigenvalues. Zbl 1136.81368 Demkov, Yu. N.; Kurasov, P. B. 2 2007 Inverse spectral problem for quantum graphs. Zbl 1070.81112 Kurasov, Pavel; Nowaczyk, Marlena 70 2005 Symmetries of quantum graphs and the inverse scattering problem. Zbl 1072.81059 Boman, Jan; Kurasov, Pavel 25 2005 High order singular rank one perturbations of a positive operator. Zbl 1104.47024 Dijksma, A.; Kurasov, P.; Shondin, Yu. 16 2005 Finite speed of propagation and local boundary conditions for wave equations with point interactions. Zbl 1113.47063 Kurasov, Pavel; Posilicano, Andrea 11 2005 Reflectionless potentials and point interactions in Pontryagin spaces. Zbl 1094.81053 Kurasov, Pavel; Luger, Annemarie 2 2005 Singular and supersingular perturbations: Hilbert space methods. Zbl 1062.47022 Kurasov, P. 9 2004 Krein’s resolvent formula and perturbation theory. Zbl 1070.47008 Kurasov, P.; Kuroda, S. T. 7 2004 Gauge fields, point interactions and few-body problems in one dimension. Zbl 1138.81373 Albeverio, S.; Fei, S.-M.; Kurasov, P. 4 2004 \({\mathcal H}_{-n}\)-perturbations of self-adjoint operators and Krein’s resolvent formula. Zbl 1031.47016 Kurasov, Pavel 12 2003 On approximations of rank one \({\mathcal H}_{-2}\)-perturbations. Zbl 1022.47009 Albeverio, S.; Koshmanenko, V.; Kurasov, P.; Nizhnik, L. 3 2003 On field theory methods in singular perturbation theory. Zbl 1038.81025 Kurasov, P.; Pavlov, Yu. V. 3 2003 Essential spectrum due to singularity. Zbl 1362.34124 Kurasov, Pavel; Naboko, Serguei 3 2003 On the inverse scattering problem on branching graphs. Zbl 1012.81053 Kurasov, P.; Stenberg, F. 40 2002 Point interactions: \(\mathcal{PT}\)-Hermiticity and reality of the spectrum. Zbl 1053.81026 Albeverio, Sergio; Fei, Shao-Ming; Kurasov, Pavel 21 2002 On the essential spectrum of a class of singular matrix differential operators. I: Quasiregularity conditions and essential self-adjointness. Zbl 1043.47006 Kurasov, Pavel; Naboko, Serguei 12 2002 Spectral asymptotics for Schrödinger operators with periodic point interactions. Zbl 1006.34081 Kurasov, P.; Larson, J. 10 2002 On integrability of many-body problems with point interactions. Zbl 1064.70015 Albeverio, S.; Fei, S. M.; Kurasov, P. 3 2002 On \(H_{-4}\)-perturbations of self-adjoint operators. Zbl 1032.47012 Kurasov, Pavel; Watanabe, Kazuo 7 2001 Many body problems with “spin”-related contact interactions. Zbl 0978.81085 Albeverio, S.; Fei, S.-M.; Kurasov, P. 3 2001 Singular cluster interactions in few-body problems. Zbl 1096.81534 Albeverio, S.; Kurasov, P. 2 2001 Scattering from an impurity: Lax-Phillips approach. Zbl 1067.65085 Kurasov, P. 1 2001 On rank one \(H_{-3}\)-perturbations of positive self-adjoint operators. Zbl 0986.47023 Kurasov, Pavel; Watanabe, Kazuo 5 2000 Singular perturbations of differential operators. Solvable Schrödinger type operators. Zbl 0945.47015 Albeverio, S.; Kurasov, P. 187 1999 Finite rank perturbations and distribution theory. Zbl 0913.47012 Albeverio, S.; Kurasov, P. 5 1999 Inverse scattering transformation for positons. Zbl 0930.35157 Kurasov, P.; Packalén, K. 3 1999 Symmetries of Schrödinger operators with point interactions. Zbl 0909.34074 Albeverio, S.; Dabrowski, L.; Kurasov, P. 31 1998 Finite rank singular perturbations and distributions with discontinuous test functions. Zbl 0894.34079 Kurasov, P.; Boman, J. 15 1998 Rank one perturbations of not semibounded operators. Zbl 0901.47004 Albeverio, S.; Kurasov, P. 15 1997 Rank one perturbations, approximations, and selfadjoint extensions. Zbl 0908.47010 Albeverio, S.; Kurasov, P. 15 1997 Response to “Comment on ‘On the Coulomb potential in one dimension’ ” by Fischer, Leschke and Müller. Zbl 1042.81529 Kurasov, P. 3 1997 Pseudodifferential operators with point interactions. Zbl 0883.35138 Albeverio, S.; Kurasov, P. 2 1997 Distribution theory for discontinuous test functions and differential operators with generalized coefficients. Zbl 0878.46030 Kurasov, P. 47 1996 On the Coulomb potential in one dimension. Zbl 0916.34074 Kurasov, P. 14 1996 Scattering matrices with finite phase shift and the inverse scattering problem. Zbl 0848.34073 Kurasov, Pavel 6 1996 \(S\)-matrix, resonances, and wave functions for transport through billiards with leads. Zbl 0891.47049 Albeverio, S.; Haake, F.; Kurasov, P.; Kuś, M.; Šeba, P. 5 1996 Doubly periodical in time and energy exactly soluble system with two interacting systems of states. Zbl 0877.47037 Demkov, Yu. N.; Kurasov, P. B.; Ostrovsky, V. N. 2 1995 On the inverse scattering problem for rational reflection coefficients. Zbl 0801.47006 Kurasov, P. B. 1 1993 Zero-range potentials with internal structures and the inverse scattering problem. Zbl 0761.35075 Kurasov, P. B. 7 1992 Connections and effective S-matrix in triangle representation for quantum scattering. Zbl 0733.58042 Kuperin, Yu. A.; Kurasov, P. B.; Melnikov, Yu. B.; Merkuriev, S. P. 2 1991 An electron in a homogeneous crystal of point-like atoms with internal structure. II. Zbl 1268.81144 Kurasov, Pavel B.; Pavlov, B. S. 4 1988 all cited Publications top 5 cited Publications all top 5 Cited by 670 Authors 44 Kurasov, Pavel B. 25 Albeverio, Sergio A. 20 Mugnolo, Delio 16 Avdonin, Sergeĭ Anatol’evich 13 Berkolaiko, Gregory 12 Kennedy, James Bernard 9 Gadella, Manuel 9 Kostenko, Aleksey S. 9 Luger, Annemarie 9 Rohleder, Jonathan 9 Teschl, Gerald 9 Weder, Ricardo A. 8 Liaw, Constanze 8 Naboko, Serguei N. 8 Pivovarchik, Vyacheslav N. 7 Bondarenko, Natalia P. 7 Eckhardt, Jonathan 7 Hryniv, Rostyslav O. 7 Malamud, Mark M. 7 Popov, Igor’ Yur’evich 7 Yang, Chuanfu 6 Dovetta, Simone 6 Fei, Shaoming 6 Frymark, Dale 6 Hassi, Seppo 6 Koshmanenko, Volodymyr Dmytrovych 6 Nieto, Luis Miguel 6 Nizhnik, Leonid Pavlovich 6 Plümer, Marvin 6 Posilicano, Andrea 6 Rabinovich, Vladimir Samuilovich 6 Shafarevich, Andreĭ Igorevich 6 Turgut, Osman Teoman 5 Band, Ram 5 Behrndt, Jussi 5 Bolokhov, Timur A. 5 de Snoo, Hendrik S. V. 5 Juršėnas, Rytis 5 Kiselev, Alexander V. 5 Langer, Matthias 5 Mykytyuk, Yaroslav V. 5 Neidhardt, Hagen 5 Serio, Andrea 5 Simonov, Sergey A. 5 Yurko, Vjacheslav Anatoljevich 5 Zolotaryuk, Alexander V. 4 Bokes, Pavol 4 Bolte, Jens 4 Dias, Nuno Costa 4 Erman, Fatih 4 Exner, Pavel 4 Figari, Rodolfo 4 Golovatyj, Yuriy Danilovich 4 Hofmann, Matthias 4 Jorge, Cristina 4 Krejčiřík, David 4 Kuzhel, Sergei 4 Langer, Heinz 4 Melnikov, Yuri B. 4 Pelinovsky, Dmitry Efimovich 4 Prata, João Nuno 4 Shkalikov, Andreĭ Andreevich 4 Silva, Luis O. 4 Tretter, Christiane 4 Yoshitomi, Kazushi 4 Znojil, Miloslav 4 Zolotaryuk, Yaroslav 3 Aktosun, Tuncay 3 Alon, Lior 3 Angulo Pava, Jaime 3 Archibald, Margaret Lyn 3 Barrera-Figueroa, Victor 3 Bell, Jonathan 3 Blåsten, Emilia L. K. 3 Blinova, Irina V. 3 Boman, Jan 3 Brown, B. Malcolm 3 Cacciapuoti, Claudio 3 Caudrelier, Vincent 3 Cheon, Taksu 3 Chernyshev, Vsevolod L. 3 Currie, Sonja 3 Dereziński, Jan 3 Ershova, Yulia Yu. 3 Fassari, Silvestro 3 Fülöp, Tamás 3 Goloshchapova, Nataliia 3 Granet, Etienne 3 Gregorio, Federica 3 Ibrogimov, Orif O. 3 Kairzhan, Adilbek 3 Karpenko, Irina I. 3 Kopylova, Elena A. 3 Kravchenko, Vladislav V. 3 Kulzhanov, Utkir 3 Lassas, Matti J. 3 Leugering, Günter 3 Linden, Ulrich 3 Liu, Wencai 3 Lotoreichik, Vladimir ...and 570 more Authors all top 5 Cited in 179 Serials 48 Journal of Mathematical Physics 33 Journal of Physics A: Mathematical and Theoretical 31 Journal of Mathematical Analysis and Applications 18 Integral Equations and Operator Theory 18 Journal of Functional Analysis 17 Reports on Mathematical Physics 17 Journal of Differential Equations 14 Annales Henri Poincaré 10 Letters in Mathematical Physics 10 Mathematische Nachrichten 10 Proceedings of the American Mathematical Society 10 Journal of Mathematical Sciences (New York) 10 Complex Analysis and Operator Theory 10 Journal of Spectral Theory 8 International Journal of Theoretical Physics 8 Mathematical Notes 8 Physics Letters. A 8 Analysis and Mathematical Physics 7 Communications in Mathematical Physics 7 Annals of Physics 7 Mathematical Physics, Analysis and Geometry 6 Russian Journal of Mathematical Physics 6 Journal of Inverse and Ill-Posed Problems 6 Czechoslovak Journal of Physics 5 Reviews in Mathematical Physics 5 Advances in Mathematics 5 Functional Analysis and its Applications 5 Transactions of the American Mathematical Society 5 Linear Algebra and its Applications 5 Inverse Problems and Imaging 4 Applicable Analysis 4 Inverse Problems 4 Journal of Mathematical Biology 4 Ukrainian Mathematical Journal 4 Calculus of Variations and Partial Differential Equations 4 International Journal of Geometric Methods in Modern Physics 4 Complex Variables and Elliptic Equations 4 Operators and Matrices 3 European Journal of Physics 3 Journal d’Analyse Mathématique 3 Journal of Statistical Physics 3 Mathematical Methods in the Applied Sciences 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Nonlinearity 3 Nuclear Physics. B 3 Theoretical and Mathematical Physics 3 Applied Mathematics and Optimization 3 Studies in Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Opuscula Mathematica 3 Lobachevskii Journal of Mathematics 2 International Journal of Modern Physics B 2 Physics Reports 2 Rocky Mountain Journal of Mathematics 2 Studia Mathematica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Quaestiones Mathematicae 2 Tokyo Journal of Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Partial Differential Equations 2 Journal of Dynamics and Differential Equations 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Journal of Mathematical Chemistry 2 Doklady Mathematics 2 Matematychni Studiï 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Proceedings of the Steklov Institute of Mathematics 2 Networks and Heterogeneous Media 2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Modern Physics Letters A 1 Modern Physics Letters B 1 International Journal of Modern Physics A 1 Computers & Mathematics with Applications 1 International Journal of Engineering Science 1 Israel Journal of Mathematics 1 Mathematical Biosciences 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Acta Scientiarum Mathematicarum 1 The Annals of Probability 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Dissertationes Mathematicae 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematics and Computers in Simulation ...and 79 more Serials all top 5 Cited in 50 Fields 313 Quantum theory (81-XX) 222 Operator theory (47-XX) 219 Ordinary differential equations (34-XX) 196 Partial differential equations (35-XX) 69 Combinatorics (05-XX) 41 Functional analysis (46-XX) 38 Statistical mechanics, structure of matter (82-XX) 20 Global analysis, analysis on manifolds (58-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 16 Biology and other natural sciences (92-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Mechanics of particles and systems (70-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Systems theory; control (93-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 10 Convex and discrete geometry (52-XX) 10 Probability theory and stochastic processes (60-XX) 10 Mechanics of deformable solids (74-XX) 9 Difference and functional equations (39-XX) 7 Special functions (33-XX) 7 Fluid mechanics (76-XX) 6 Numerical analysis (65-XX) 6 Optics, electromagnetic theory (78-XX) 5 Algebraic geometry (14-XX) 5 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 5 Relativity and gravitational theory (83-XX) 4 Number theory (11-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Approximations and expansions (41-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year