Edit Profile (opens in new tab) Malamud, Mark M. Compute Distance To: Compute Author ID: malamud.mark-m Published as: Malamud, M. M.; Malamud, Mark; Malamud, Mark M.; Malamud, M. more...less External Links: MGP · Google Scholar · Math-Net.Ru Documents Indexed: 179 Publications since 1974 Co-Authors: 73 Co-Authors with 129 Joint Publications 2,248 Co-Co-Authors all top 5 Co-Authors 50 single-authored 25 Neidhardt, Hagen 23 Derkach, Vladimir Alexandrovich 13 Kostenko, Aleksey S. 11 Hassi, Seppo 10 Mogilevskii, Vadim 9 Oridoroga, Leonid L. 8 Lunyov, Anton A. 8 Tsekanovskii, Eduard R. 7 de Snoo, Hendrik S. V. 6 Behrndt, Jussi 5 Brasche, Johannes Friedemann 5 Budyka, Viktoriya S. 5 Limanskii, Dmitrii V. 4 Albeverio, Sergio A. 4 Domanov, Ignat 4 Posilicano, Andrea 3 Exner, Pavel 3 Granovskyi, Yaroslav I. 3 Karabash, Illya M. 3 Lesch, Matthias 3 Peller, Vladimir Vsevolodovich 2 Agibalova, Anna V. 2 Golinskii, Leonid Borisovich 2 Goloshchapova, N. I. 2 Kolmanovich, V. Yu 2 Malamud, S. M. 2 Schmüdgen, Konrad 2 Zastavnyĭ, Viktor Petrovich 1 Adamyan, Vadym Movsesovych 1 Afendikov, Andrei L. 1 Agranovich, Mikhail Semënovich 1 Aleroev, S. A. 1 Amosov, B. A. 1 Aptekarev, Alexander Ivanovich 1 Belinsky, E. S. 1 Berezans’kyĭ, Yuriĭ Makarovych 1 Boitsev, A. A. 1 Brown, B. Malcolm 1 Budyika, Viktoriya S. 1 Bukhshtaber, Viktor Matveevich 1 Carlone, Raffaele 1 Dveĭrin, Mikhail Z. 1 Dvejrin, M. Z. 1 Eckhardt, Jonathan 1 Friedlander, L. F. 1 Gesztesy, Fritz 1 Gindikin, Simon Grigorevich 1 Gorbachuk, Myroslav L’vovych 1 Gorbachuk, Valentyna Ivanivna 1 Gubreev, Gennadiĭ Mykhaĭlovych 1 Ichinose, Takashi 1 Klaus, Martin 1 Kochubeĭ, Anatoliĭ Naumovych 1 Marchenko, Vladimir Aleksandrovich 1 Mitrea, Marius 1 Naboko, Serguei N. 1 Natyagailo, D. D. 1 Nicolussi, Noema 1 Novikov, Sergeĭ Petrovich 1 Paneah, Boris 1 Popov, Igor’ Yur’evich 1 Radkevich, Evgeniĭ Vladimirovich 1 Rozenblum, Grigori V. 1 Shirikyan, Armen R. 1 Shkalikov, Andreĭ Andreevich 1 Suslina, Tat’yana Aleksandrovna 1 Teschl, Gerald 1 Tikhomirov, Vladimir Mikhaĭlovich 1 Vishik, Marko Iosifovich 1 Vvedenskaya, Nikita Dmitrievna 1 Wood, Ian Geoffrey 1 Zagrebnov, Valentin A. 1 Zuidwijk, Rob A. all top 5 Serials 20 Doklady Mathematics 11 Mathematical Notes 11 Functional Analysis and its Applications 7 Ukrainian Mathematical Journal 7 Integral Equations and Operator Theory 7 Journal of Differential Equations 7 Journal of Functional Analysis 7 Soviet Mathematics. Doklady 7 Russian Journal of Mathematical Physics 6 Methods of Functional Analysis and Topology 4 Ukraïns’kyĭ Matematychnyĭ Zhurnal 4 Mathematische Nachrichten 4 Transactions of the Moscow Mathematical Society 4 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 4 Annales Henri Poincaré 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Sciences (New York) 2 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 2 Journal of Mathematical Physics 2 Russian Mathematical Surveys 2 Advances in Mathematics 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Journal of Soviet Mathematics 2 Transactions of the American Mathematical Society 2 Soviet Mathematics 2 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 2 Russian Academy of Sciences. Doklady. Mathematics 2 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Mathematics of the USSR. Izvestiya 1 Proceedings of the London Mathematical Society. Third Series 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Linear Algebra and its Applications 1 Dopovidi Akademiï Nauk Ukraïni 1 St. Petersburg Mathematical Journal 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 European Mathematical Society Newsletter 1 Mathematical Physics, Analysis and Geometry 1 Matematicheskaya Fizika i Nelineĭnaya Mekhanika 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Matematicheskaya Fizika 1 Translations. Series 2. American Mathematical Society 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Operators and Matrices 1 Journal of Spectral Theory all top 5 Fields 140 Operator theory (47-XX) 60 Ordinary differential equations (34-XX) 24 Quantum theory (81-XX) 20 Partial differential equations (35-XX) 14 Functional analysis (46-XX) 12 Integral equations (45-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 History and biography (01-XX) 3 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 1,662 times in 676 Documents Cited by ▼ Year ▼ Generalized resolvents and the boundary value problems for Hermitian operators with gaps. Zbl 0748.47004Derkach, V. A.; Malamud, M. M. 225 1991 The extension theory of Hermitian operators and the moment problem. Zbl 0848.47004Derkach, V. A.; Malamud, M. M. 129 1995 On the deficiency indices and self-adjointness of symmetric Hamiltonian systems. Zbl 1016.37026Lesch, Matthias; Malamud, Mark 74 2003 1-D Schrödinger operators with local point interactions on a discrete set. Zbl 1195.47031Kostenko, Aleksey S.; Malamud, Mark M. 62 2010 Boundary relations and their Weyl families. Zbl 1123.47004Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; De Snoo, Henk 62 2006 On a formula of generalized resolvents of a non-densely given Hermitian operator. Zbl 0789.47005Malamud, M. M. 44 1992 Boundary relations and generalized resolvents of symmetric operators. Zbl 1182.47026Derkach, V.; Hassi, S.; Malamud, M.; De Snoo, H. 44 2009 Generalized resolvents of symmetric operators and admissibility. Zbl 0973.47020Derkach, V. A.; Hassi, S.; Malamud, M. M.; de Snoo, H. S. V. 38 2000 Weyl function and spectral properties of self-adjoint extensions. Zbl 1008.47028Brasche, Johannes F.; Malamud, Mark; Neidhardt, Hagen 38 2002 Scattering matrices and Weyl functions. Zbl 1161.47008Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen 37 2008 Spectral theory of elliptic operators in exterior domains. Zbl 1202.35142Malamud, M. M. 37 2010 Spectral theory of semibounded Sturm-Liouville operators with local interactions on a discrete set. Zbl 1314.81059Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark 30 2010 On the spectral theory of Gesztesy-Šeba realizations of 1-D Dirac operators with point interactions on a discrete set. Zbl 1277.34120Carlone, Raffaele; Malamud, Mark; Posilicano, Andrea 29 2013 Krein type formula for canonical resolvents of dual pairs of linear relations. Zbl 1074.47501Malamud, M. M.; Mogilevsky, V. I. 26 2002 Spectral theory of operator measures in Hilbert space. Zbl 1076.47001Malamud, M. M.; Malamud, S. M. 25 2004 Sturm-Liouville boundary value problems with operator potentials and unitary equivalence. Zbl 1257.47053Malamud, Mark; Neidhardt, Hagen 24 2012 On the Weyl function and Hermitian operators with gaps. Zbl 0655.47005Derkach, V. A.; Malamud, M. M. 23 1987 On Kreĭn’s extension theory of nonnegative operators. Zbl 1076.47008Hassi, Seppo; Malamud, Mark; de Snoo, Henk 22 2004 On the unitary equivalence of absolutely continuous parts of self-adjoint extensions. Zbl 1241.47011Malamud, Mark M.; Neidhardt, Hagen 21 2011 Boundary triplets and Weyl functions. Recent developments. Zbl 1320.47024Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; de Snoo, Henk 20 2012 Certain classes of extensions of a lacunary Hermitian operator. Zbl 0804.47011Malamud, M. M. 20 1992 On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators. Zbl 1336.34121Lunyov, Anton A.; Malamud, Mark M. 19 2016 Uniqueness questions in inverse problems for systems of differential equations on a finite interval. Zbl 0939.34012Malamud, M. M. 19 1999 One-dimensional Schrödinger operator with \(\delta\)-interactions. Zbl 1210.47068Kostenko, A. S.; Malamud, M. M. 19 2010 Indefinite Sturm–Liouville operators \((\operatorname{sgn} x)(-\frac{d^2}{dx^2}+q(x))\) with finite-zone potentials. Zbl 1146.47032Karabash, I. M.; Malamud, M. M. 17 2007 Generalized polar decompositions for closed operators in Hilbert spaces and some applications. Zbl 1200.47003Gesztesy, Fritz; Malamud, Mark; Mitrea, Marius; Naboko, Serguei 17 2009 On the completeness of the system of root vectors of the Sturm-Liouville operator with general boundary conditions. Zbl 1167.34393Malamud, M. M. 17 2008 The similarity problem for \(J\)-nonnegative Sturm-Liouville operators. Zbl 1165.34012Karabash, Illya M.; Kostenko, Aleksey S.; Malamud, Mark M. 17 2009 Inverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functions. Zbl 1083.47020Albeverio, S.; Brasche, J. F.; Malamud, M. M.; Neidhardt, H. 16 2005 On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations. Zbl 1256.34075Malamud, Mark M.; Oridoroga, Leonid L. 16 2012 Characteristic functions of almost solvable extensions of Hermitian operators. Zbl 0804.47009Derkach, V. A.; Malamud, M. M. 15 1992 1-D Schrödinger operators with local point interactions: a review. Zbl 1319.34003Kostenko, Aleksey; Malamud, Mark 14 2013 The inverse spectral problem for first order systems on the half line. Zbl 0956.34072Lesch, Matthias; Malamud, Mark M. 14 2000 Scattering theory for open quantum systems with finite rank coupling. Zbl 1144.81480Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen 14 2007 Spectral theory of infinite quantum graphs. Zbl 1476.81047Exner, Pavel; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen 14 2018 Similarity of Volterra operators and related questions of the theory of differential equations of fractional order. Zbl 0846.34088Malamud, M. M. 14 1994 Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions. Zbl 1256.35030Malamud, Mark M.; Schmüdgen, Konrad 14 2012 Scattering matrices and Dirichlet-to-Neumann maps. Zbl 1376.35011Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen 12 2017 On extensions of dual pairs of operators. Zbl 0887.47008Malamud, M. M.; Mogilevskij, V. I. 11 1997 On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications. Zbl 1333.47038Lunyov, Anton A.; Malamud, Mark M. 11 2015 Trace formulas for additive and non-additive perturbations. Zbl 1380.47011Malamud, Mark; Neidhardt, Hagen 11 2015 One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets. Zbl 1296.34174Eckhardt, Jonathan; Kostenko, Aleksey; Malamud, Mark; Teschl, Gerald 10 2014 On the Riesz basis property of the root vector system for Dirac-type \(2\times 2\) systems. Zbl 1323.34094Lunyov, A. A.; Malamud, M. M. 10 2014 Unitary equivalence of proper extensions of a symmetric operator and the Weyl function. Zbl 1285.47018Hassi, Seppo; Malamud, Mark; Mogilevskii, Vadim 9 2013 Matrix Schrödinger operator with \(\delta\)-interactions. Zbl 06682139Kostenko, A. S.; Malamud, M. M.; Natyagailo, D. D. 9 2016 On spectral synthesis for dissipative Dirac type operators. Zbl 1318.47058Lunyov, Anton A.; Malamud, Mark M. 8 2014 Perturbation determinants for singular perturbations. Zbl 1311.81129Malamud, M.; Neidhardt, H. 8 2014 Uniqueness of the matrix Sturm-Liouville equation given a part of the monodromy matrix, and Borg type results. Zbl 1094.34010Malamud, Mark M. 8 2005 Nonrelativistic limit for \(2p \times 2p\)-Dirac operators with point interactions on a discrete set. Zbl 1387.81214Budyika, V.; Malamud, M.; Posilicano, A. 8 2017 Analog of the Birkhoff theorem and the completeness results for fractional order differential equations. Zbl 1186.34125Malamud, M. M.; Oridoroga, L. L. 8 2001 Multipliers in \(L_1\) and estimates for systems of differential operators. Zbl 1189.35052Belinsky, E. S.; Dvejrin, M. Z.; Malamud, M. M. 7 2005 On Borg-type theorems for first-order systems on a finite interval. Zbl 0942.34078Malamud, M. M. 7 1999 Completeness theorems for systems of differential equations. Zbl 0979.34058Malamud, M. M.; Oridoroga, L. L. 7 2000 Radial positive definite functions and spectral theory of the Schrödinger operators with point interactions. Zbl 1272.47005Goloshchapova, N.; Malamud, M.; Zastavnyi, V. 7 2012 Operator holes and extensions of sectorial operators and dual pairs of contractions. Zbl 1111.47017Malamud, Mark 6 2006 Sectorial extensions of a positive operator and a characteristic function. Zbl 0669.47022Derkach, V. A.; Malamud, M. M.; Tsekanovskij, Eh. R. 6 1989 Sectorial extensions of a positive operator, and the characteristic function. Zbl 0698.47004Derkach, V. A.; Malamud, M. M.; Tsekanovskij, Eh. R. 6 1988 Spherical Schrödinger operators with \({\delta}-\)type interactions. Zbl 1282.81067Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen 6 2013 Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions. Zbl 1291.81152Kostenko, Aleksey; Malamud, Mark 6 2014 On some classes of holomorphic operator functions with nonnegative imaginary part. Zbl 0943.47012Derkach, V. A.; Malamud, M. M. 6 1997 Weyl functions and singular continuous spectra of self-adjoint extensions. Zbl 0988.47003Brasche, J. F.; Malamud, M. M.; Neidhardt, H. 6 2000 Invariant and hyperinvariant subspaces of direct sums of simple Volterra operators. Zbl 0904.47005Malamud, M. M. 6 1998 Similarity of a triangular operator to a diagonal operator. Zbl 1025.47012Malamud, M. M. 6 2000 On the spectral analysis of direct sums of Riemann-Liouville operators in Sobolev spaces of vector functions. Zbl 1220.47009Domanov, I. Yu.; Malamud, M. M. 6 2009 Positive definite functions and spectral properties of the Schrödinger operator with point interactions. Zbl 1244.47040Goloshchapova, N. I.; Zastavnyi, V. P.; Malamud, M. M. 6 2011 On the completeness of systems of root vectors for first-order systems: application to the Regge problem. Zbl 1304.34143Lunyov, A. A.; Malamud, M. M. 5 2013 Sectorial extensions of a positive operator and the characteristic function. Zbl 0709.47033Derkach, V. A.; Malamud, M. M.; Tsekanovskij, Eh. R. 5 1989 A class of Hermitian operator extensions and the Weyl function. Zbl 0715.47013Derkach, V. A.; Malamud, M. M. 5 1989 A criterion for the similarity of a closed operator to a self-adjoint operator. Zbl 0591.47002Malamud, M. M. 5 1985 Finite rank perturbations, scattering matrices and inverse problems. Zbl 1192.47008Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen 5 2010 On some classes of extensions of sectorial operators and dual pairs of contractions. Zbl 0985.47005Malamud, M. M. 5 2001 On extensions of Hermitian sectorial operators and dual pairs of contractions. Zbl 0704.47005Malamud, M. M. 4 1989 On an approach to the theory of extensions of a non-densely given Hermitian operator. Zbl 0721.47010Malamud, M. M. 4 1990 On the completeness of the root vector system of the Sturm-Liouville operator with general boundary conditions. Zbl 1163.34395Malamud, M. M. 4 2008 On Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systems. Zbl 1287.34016Albeverio, Sergio; Malamud, Mark; Mogilevskii, Vadim 4 2013 Generalized resolvents of symmetric operators. Zbl 1076.47002Malamud, M. M.; Mogilevskii, V. I. 4 2003 On some problems of spectral theory of ordinary differential equations of fractional order. Zbl 0926.34065Malamud, M. M.; Oridoroga, L. L. 4 1998 On reproducing subspaces of Volterra operators. Zbl 0894.47038Malamud, M. M. 4 1996 Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions. Zbl 06835367Malamud, M. M.; Neidhardt, Hagen; Peller, V. V. 4 2017 A trace formula for functions of contractions and analytic operator Lipschitz functions. (Une formule de trace pour les fonctions de contraction et les fonctions analytiques opérateurs-lipschitziennes.) Zbl 1381.47008Malamud, Mark; Neidhardt, Hagen; Peller, Vladimir 4 2017 Generalized resolvents and boundary triplets for dual pairs of linear relations. Zbl 1094.47002Hassi, Seppo; Malamud, Mark; Mogilevskii, Vadim 3 2005 On some classes of analytic operator-functions with non-negative imaginary part. Zbl 0692.47016Derkach, V. A.; Malamud, M. M. 3 1989 Schoenberg matrices of radial positive definite functions and Riesz sequences of translates in \(L^2(\mathbb R^n)\). Zbl 1325.42006Golinskii, L.; Malamud, M.; Oridoroga, L. 3 2015 Necessary conditions for the existence of a transformation operator for higher-order equations. Zbl 0516.34038Malamud, M. M. 3 1983 On the spectral theory of operator measures. Zbl 1030.47015Malamud, M. M.; Malamud, S. M. 3 2002 On the completeness of general boundary value problems for \(2\times 2\) first order systems of ordinary differential equations. Zbl 1249.34249Agibalova, A. V.; Malamud, M. M.; Oridoroga, L. L. 3 2012 Schrödinger operators with \(\delta^{\prime}\)-interactions and the Kreĭn-Stieltjes string. Zbl 1204.47052Kostenko, A. S.; Malamud, M. M. 3 2010 Absolute continuity of spectral shift. Zbl 07004960Malamud, M. M.; Neidhardt, H.; Peller, V. V. 3 2019 Boundary triplets, tensor products and point contacts to reservoirs. Zbl 06941630Boitsev, A. A.; Brasche, J. F.; Malamud, M. M.; Neidhardt, H.; Popov, I. Yu. 3 2018 Self-adjointness and discreteness of the spectrum of block Jacobi matrices. Zbl 07270842Budyka, V. S.; Malamud, M. M. 3 2020 Quasi-elliptic and weakly coercive systems in Sobolev spaces of vector functions. Zbl 1176.35051Limanskii, D. V.; Malamud, M. M. 3 2008 Characteristic functions of linear operators. Zbl 0820.47007Derkach, V. A.; Malamud, M. M. 3 1992 Resolvent matrices and spectral functions of an isometric operator. Zbl 1127.47305Malamud, M. M.; Mogilevskiĭ, V. I. 2 2004 The similarity of a \(J\)-self-adjoint Sturm-Liouville operator with finite-gap potential to a self-adjoint operator. Zbl 1282.34088Karabash, I. M.; Malamud, M. M. 2 2004 A generalization of a class of Krein-Stieltjes functions. Zbl 0819.47012Derkach, V. A.; Malamud, M. M. 2 1991 Remarks on the one-dimensional perturbation spectrum of Volterra operators. Zbl 0495.45013Malamud, M. M. 2 1982 Trace formulas for singular and additive non-selfadjoint perturbations. Zbl 1339.81043Malamud, M. M.; Neidhardt, H. 2 2015 Non-self-adjoint extensions of a Hermitian operator and their characteristic functions. Zbl 0971.47003Derkach, V. A.; Malamud, M. M. 2 1999 A connection between the potential matrix of the Dirac system and its Wronskian. Zbl 0883.34018Malamud, M. M. 2 1995 Über Störungen des Operators der gebrochenen Integration. Zbl 0419.47023Malamud, M. M. 2 1979 Self-adjointness and discreteness of the spectrum of block Jacobi matrices. Zbl 07270842Budyka, V. S.; Malamud, M. M. 3 2020 Generalized boundary triples. I: Some classes of isometric and unitary boundary pairs and realization problems for subclasses of Nevanlinna functions. Zbl 07317208Derkach, Volodymyr; Hassi, Seppo; Malamud, Mark 1 2020 Absolute continuity of spectral shift. Zbl 07004960Malamud, M. M.; Neidhardt, H.; Peller, V. V. 3 2019 Weyl solutions and \(j\)-selfadjointness for Dirac operators. Zbl 07113592Brown, B. Malcolm; Klaus, Martin; Malamud, Mark; Mogilevskii, Vadim; Wood, Ian 2 2019 On singular spectrum of finite-dimensional perturbations (toward the Aronszajn-Donoghue-Kac theory). Zbl 07143394Malamud, M. M. 1 2019 Quantum graphs with summable matrix potentials. Zbl 1435.81081Granovskyi, Ya. I.; Malamud, M. M.; Neidhardt, H. 1 2019 On the deficiency indices of block Jacobi matrices related to Dirac operators with point interactions. Zbl 1441.47037Budyka, V. S.; Malamud, M. M. 1 2019 Spectral theory of infinite quantum graphs. Zbl 1476.81047Exner, Pavel; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen 14 2018 Boundary triplets, tensor products and point contacts to reservoirs. Zbl 06941630Boitsev, A. A.; Brasche, J. F.; Malamud, M. M.; Neidhardt, H.; Popov, I. Yu. 3 2018 To the spectral theory of one-dimensional matrix Dirac operators with point matrix interactions. Zbl 06908946Budyka, V. S.; Malamud, M. M.; Posilicano, A. 2 2018 Radial positive definite functions and Schoenberg matrices with negative eigenvalues. Zbl 1381.42014Golinskii, L.; Malamud, M.; Oridoroga, L. 1 2018 Scattering matrices and Dirichlet-to-Neumann maps. Zbl 1376.35011Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen 12 2017 Nonrelativistic limit for \(2p \times 2p\)-Dirac operators with point interactions on a discrete set. Zbl 1387.81214Budyika, V.; Malamud, M.; Posilicano, A. 8 2017 Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions. Zbl 06835367Malamud, M. M.; Neidhardt, Hagen; Peller, V. V. 4 2017 A trace formula for functions of contractions and analytic operator Lipschitz functions. (Une formule de trace pour les fonctions de contraction et les fonctions analytiques opérateurs-lipschitziennes.) Zbl 1381.47008Malamud, Mark; Neidhardt, Hagen; Peller, Vladimir 4 2017 To the spectral theory of vector-valued Sturm-Liouville operators with summable potentials and point interactions. Zbl 1461.47022Granovskyi, Yaroslav; Malamud, Mark; Neidhardt, Hagen; Posilicano, Andrea 2 2017 Infinite quantum graphs. Zbl 1365.05177Kostenko, A. S.; Malamud, M. M.; Neidhardt, H.; Exner, P. 1 2017 On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators. Zbl 1336.34121Lunyov, Anton A.; Malamud, Mark M. 19 2016 Matrix Schrödinger operator with \(\delta\)-interactions. Zbl 06682139Kostenko, A. S.; Malamud, M. M.; Natyagailo, D. D. 9 2016 On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications. Zbl 1333.47038Lunyov, Anton A.; Malamud, Mark M. 11 2015 Trace formulas for additive and non-additive perturbations. Zbl 1380.47011Malamud, Mark; Neidhardt, Hagen 11 2015 Schoenberg matrices of radial positive definite functions and Riesz sequences of translates in \(L^2(\mathbb R^n)\). Zbl 1325.42006Golinskii, L.; Malamud, M.; Oridoroga, L. 3 2015 Trace formulas for singular and additive non-selfadjoint perturbations. Zbl 1339.81043Malamud, M. M.; Neidhardt, H. 2 2015 Unique determination of a system by a part of the monodromy matrix. Zbl 1350.34025Malamud, M. M. 1 2015 One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets. Zbl 1296.34174Eckhardt, Jonathan; Kostenko, Aleksey; Malamud, Mark; Teschl, Gerald 10 2014 On the Riesz basis property of the root vector system for Dirac-type \(2\times 2\) systems. Zbl 1323.34094Lunyov, A. A.; Malamud, M. M. 10 2014 On spectral synthesis for dissipative Dirac type operators. Zbl 1318.47058Lunyov, Anton A.; Malamud, Mark M. 8 2014 Perturbation determinants for singular perturbations. Zbl 1311.81129Malamud, M.; Neidhardt, H. 8 2014 Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions. Zbl 1291.81152Kostenko, Aleksey; Malamud, Mark 6 2014 On the spectral theory of Gesztesy-Šeba realizations of 1-D Dirac operators with point interactions on a discrete set. Zbl 1277.34120Carlone, Raffaele; Malamud, Mark; Posilicano, Andrea 29 2013 1-D Schrödinger operators with local point interactions: a review. Zbl 1319.34003Kostenko, Aleksey; Malamud, Mark 14 2013 Unitary equivalence of proper extensions of a symmetric operator and the Weyl function. Zbl 1285.47018Hassi, Seppo; Malamud, Mark; Mogilevskii, Vadim 9 2013 Spherical Schrödinger operators with \({\delta}-\)type interactions. Zbl 1282.81067Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen 6 2013 On the completeness of systems of root vectors for first-order systems: application to the Regge problem. Zbl 1304.34143Lunyov, A. A.; Malamud, M. M. 5 2013 On Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systems. Zbl 1287.34016Albeverio, Sergio; Malamud, Mark; Mogilevskii, Vadim 4 2013 Sturm-Liouville boundary value problems with operator potentials and unitary equivalence. Zbl 1257.47053Malamud, Mark; Neidhardt, Hagen 24 2012 Boundary triplets and Weyl functions. Recent developments. Zbl 1320.47024Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; de Snoo, Henk 20 2012 On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations. Zbl 1256.34075Malamud, Mark M.; Oridoroga, Leonid L. 16 2012 Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions. Zbl 1256.35030Malamud, Mark M.; Schmüdgen, Konrad 14 2012 Radial positive definite functions and spectral theory of the Schrödinger operators with point interactions. Zbl 1272.47005Goloshchapova, N.; Malamud, M.; Zastavnyi, V. 7 2012 On the completeness of general boundary value problems for \(2\times 2\) first order systems of ordinary differential equations. Zbl 1249.34249Agibalova, A. V.; Malamud, M. M.; Oridoroga, L. L. 3 2012 On the unitary equivalence of the proper extensions of a Hermitian operator and the Weyl function. Zbl 1285.47019Malamud, M. M.; Mogilevskii, V. I.; Hassi, S. 1 2012 On the unitary equivalence of absolutely continuous parts of self-adjoint extensions. Zbl 1241.47011Malamud, Mark M.; Neidhardt, Hagen 21 2011 Positive definite functions and spectral properties of the Schrödinger operator with point interactions. Zbl 1244.47040Goloshchapova, N. I.; Zastavnyi, V. P.; Malamud, M. M. 6 2011 1-D Schrödinger operators with local point interactions on a discrete set. Zbl 1195.47031Kostenko, Aleksey S.; Malamud, Mark M. 62 2010 Spectral theory of elliptic operators in exterior domains. Zbl 1202.35142Malamud, M. M. 37 2010 Spectral theory of semibounded Sturm-Liouville operators with local interactions on a discrete set. Zbl 1314.81059Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark 30 2010 One-dimensional Schrödinger operator with \(\delta\)-interactions. Zbl 1210.47068Kostenko, A. S.; Malamud, M. M. 19 2010 Finite rank perturbations, scattering matrices and inverse problems. Zbl 1192.47008Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen 5 2010 Schrödinger operators with \(\delta^{\prime}\)-interactions and the Kreĭn-Stieltjes string. Zbl 1204.47052Kostenko, A. S.; Malamud, M. M. 3 2010 On the completeness of the root vectors of first-order systems. Zbl 1231.34152Malamud, M. M.; Oridoroga, L. L. 2 2010 On the Kato-Rosenblum and Weyl-von Neumann theorems. Zbl 1213.47024Malamud, M. M.; Neidhardt, H. 2 2010 Boundary relations and generalized resolvents of symmetric operators. Zbl 1182.47026Derkach, V.; Hassi, S.; Malamud, M.; De Snoo, H. 44 2009 Generalized polar decompositions for closed operators in Hilbert spaces and some applications. Zbl 1200.47003Gesztesy, Fritz; Malamud, Mark; Mitrea, Marius; Naboko, Serguei 17 2009 The similarity problem for \(J\)-nonnegative Sturm-Liouville operators. Zbl 1165.34012Karabash, Illya M.; Kostenko, Aleksey S.; Malamud, Mark M. 17 2009 On the spectral analysis of direct sums of Riemann-Liouville operators in Sobolev spaces of vector functions. Zbl 1220.47009Domanov, I. Yu.; Malamud, M. M. 6 2009 Trace formulae for dissipative and coupled scattering systems. Zbl 1175.47008Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen 2 2009 Scattering matrices and Weyl functions. Zbl 1161.47008Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen 37 2008 On the completeness of the system of root vectors of the Sturm-Liouville operator with general boundary conditions. Zbl 1167.34393Malamud, M. M. 17 2008 On the completeness of the root vector system of the Sturm-Liouville operator with general boundary conditions. Zbl 1163.34395Malamud, M. M. 4 2008 Quasi-elliptic and weakly coercive systems in Sobolev spaces of vector functions. Zbl 1176.35051Limanskii, D. V.; Malamud, M. M. 3 2008 Indefinite Sturm–Liouville operators \((\operatorname{sgn} x)(-\frac{d^2}{dx^2}+q(x))\) with finite-zone potentials. Zbl 1146.47032Karabash, I. M.; Malamud, M. M. 17 2007 Scattering theory for open quantum systems with finite rank coupling. Zbl 1144.81480Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen 14 2007 Weakly coercive non-quasi-elliptic systems of differential operators in \(W _{l}^{p} (\mathbb R^{n})\). Zbl 1162.47039Limanskii, D. V.; Malamud, M. M. 1 2007 Boundary relations and their Weyl families. Zbl 1123.47004Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; De Snoo, Henk 62 2006 Operator holes and extensions of sectorial operators and dual pairs of contractions. Zbl 1111.47017Malamud, Mark 6 2006 Borg-type theorems for high-order equations with matrix coefficients. Zbl 1148.34305Malamud, M. M. 1 2006 Selfadjoint extensions with several gaps: finite deficiency indices. Zbl 1112.47010Brasche, J. F.; Malamud, M. M.; Neidhardt, H. 1 2006 Inverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functions. Zbl 1083.47020Albeverio, S.; Brasche, J. F.; Malamud, M. M.; Neidhardt, H. 16 2005 Uniqueness of the matrix Sturm-Liouville equation given a part of the monodromy matrix, and Borg type results. Zbl 1094.34010Malamud, Mark M. 8 2005 Multipliers in \(L_1\) and estimates for systems of differential operators. Zbl 1189.35052Belinsky, E. S.; Dvejrin, M. Z.; Malamud, M. M. 7 2005 Generalized resolvents and boundary triplets for dual pairs of linear relations. Zbl 1094.47002Hassi, Seppo; Malamud, Mark; Mogilevskii, Vadim 3 2005 Boundary relations and orthogonal coupling of symmetric operators. Zbl 1110.47007Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; de Snoo, Henk 2 2005 Spectral theory of operator measures in Hilbert space. Zbl 1076.47001Malamud, M. M.; Malamud, S. M. 25 2004 On Kreĭn’s extension theory of nonnegative operators. Zbl 1076.47008Hassi, Seppo; Malamud, Mark; de Snoo, Henk 22 2004 Resolvent matrices and spectral functions of an isometric operator. Zbl 1127.47305Malamud, M. M.; Mogilevskiĭ, V. I. 2 2004 The similarity of a \(J\)-self-adjoint Sturm-Liouville operator with finite-gap potential to a self-adjoint operator. Zbl 1282.34088Karabash, I. M.; Malamud, M. M. 2 2004 On the deficiency indices and self-adjointness of symmetric Hamiltonian systems. Zbl 1016.37026Lesch, Matthias; Malamud, Mark 74 2003 Generalized resolvents of symmetric operators. Zbl 1076.47002Malamud, M. M.; Mogilevskii, V. I. 4 2003 Weyl function and spectral properties of self-adjoint extensions. Zbl 1008.47028Brasche, Johannes F.; Malamud, Mark; Neidhardt, Hagen 38 2002 Krein type formula for canonical resolvents of dual pairs of linear relations. Zbl 1074.47501Malamud, M. M.; Mogilevsky, V. I. 26 2002 On the spectral theory of operator measures. Zbl 1030.47015Malamud, M. M.; Malamud, S. M. 3 2002 Invariant and hyperinvariant subspaces of an operator \(J^{\alpha}\) and related operator algebras in Sobolev spaces. Zbl 1006.47003Domanov, I. Yu.; Malamud, M. M. 2 2002 Analog of the Birkhoff theorem and the completeness results for fractional order differential equations. Zbl 1186.34125Malamud, M. M.; Oridoroga, L. L. 8 2001 On some classes of extensions of sectorial operators and dual pairs of contractions. Zbl 0985.47005Malamud, M. M. 5 2001 On the deficiency indices of Hamiltonian systems. Zbl 1053.47042Lesch, M.; Malamud, M. M. 1 2001 Generalized resolvents of symmetric operators and admissibility. Zbl 0973.47020Derkach, V. A.; Hassi, S.; Malamud, M. M.; de Snoo, H. S. V. 38 2000 The inverse spectral problem for first order systems on the half line. Zbl 0956.34072Lesch, Matthias; Malamud, Mark M. 14 2000 Completeness theorems for systems of differential equations. Zbl 0979.34058Malamud, M. M.; Oridoroga, L. L. 7 2000 Weyl functions and singular continuous spectra of self-adjoint extensions. Zbl 0988.47003Brasche, J. F.; Malamud, M. M.; Neidhardt, H. 6 2000 Similarity of a triangular operator to a diagonal operator. Zbl 1025.47012Malamud, M. M. 6 2000 Uniqueness questions in inverse problems for systems of differential equations on a finite interval. Zbl 0939.34012Malamud, M. M. 19 1999 On Borg-type theorems for first-order systems on a finite interval. Zbl 0942.34078Malamud, M. M. 7 1999 Non-self-adjoint extensions of a Hermitian operator and their characteristic functions. Zbl 0971.47003Derkach, V. A.; Malamud, M. M. 2 1999 Invariant and hyperinvariant subspaces of direct sums of simple Volterra operators. Zbl 0904.47005Malamud, M. M. 6 1998 On some problems of spectral theory of ordinary differential equations of fractional order. Zbl 0926.34065Malamud, M. M.; Oridoroga, L. L. 4 1998 On extensions of dual pairs of operators. Zbl 0887.47008Malamud, M. M.; Mogilevskij, V. I. 11 1997 On some classes of holomorphic operator functions with nonnegative imaginary part. Zbl 0943.47012Derkach, V. A.; Malamud, M. M. 6 1997 On reproducing subspaces of Volterra operators. Zbl 0894.47038Malamud, M. M. 4 1996 The extension theory of Hermitian operators and the moment problem. Zbl 0848.47004Derkach, V. A.; Malamud, M. M. 129 1995 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 503 Authors 70 Malamud, Mark M. 51 Behrndt, Jussi 29 Kostenko, Aleksey S. 27 Gesztesy, Fritz 27 Neidhardt, Hagen 22 Derkach, Vladimir Alexandrovich 19 Hassi, Seppo 19 Mogilevskii, Vadim 18 Posilicano, Andrea 15 de Snoo, Hendrik S. V. 15 Pankrashkin, Konstantin 13 Arlins’kyĭ, Yuriĭ Moĭseĭovych 13 Lotoreichik, Vladimir 12 Albeverio, Sergio A. 12 Korotyaev, Evgeny L. 11 Makin, Alexander S. 11 Trunk, Carsten 10 Shi, Yuming 10 Teschl, Gerald 9 Eckhardt, Jonathan 9 Exner, Pavel 9 Mantile, Andrea 9 Oridoroga, Leonid L. 9 Popov, Igor’ Yur’evich 9 Winkler, Henrik 8 Brasche, Johannes Friedemann 8 Holzmann, Markus 8 Kiselev, Alexander V. 8 Naboko, Serguei N. 8 Qi, Jiangang 8 Ren, Guojing 8 Tsekanovskii, Eduard R. 8 Wood, Ian Geoffrey 7 Kuzhel, Sergei 7 Langer, Matthias 7 Lunyov, Anton A. 7 Mitrea, Marius 7 Peller, Vladimir Vsevolodovich 7 Rohleder, Jonathan 7 Zemánek, Petr 7 Zinchenko, Maxim 6 Allahverdiev, Bilender Paşaoğlu 6 Brown, B. Malcolm 6 Budyka, Viktoriya S. 6 Langer, Heinz 6 Savchuk, Artem M. 6 Sun, Huaqing 5 Anan’eva, Aleksandra Yur’evna 5 Baidiuk, Dmytro V. 5 Bondarenko, Natalia P. 5 Cherednichenko, Kirill D. 5 Derevyagin, Maxim S. 5 Dym, Harry 5 Ershova, Yulia Yu. 5 Grubb, Gerd 5 Kovalyov, Ivan Mikhailovich 5 Marletta, Marco 5 Mirzoev, Karakhan Agakhan 5 Nichols, Roger 5 Nicolussi, Noema 5 Nizhnik, Leonid Pavlovich 5 Pechentsov, A. S. 5 Tretter, Christiane 5 Zheng, Zhaowen 4 Aleksandrov, Aleksei B. 4 Aleroev, Temirkhan Sultanovich 4 Belyi, Sergey V. 4 Carlone, Raffaele 4 Clark, Stephen L. 4 Geyler, Vladimir A. 4 Gil’, Michael Iosif 4 Granovskyi, Yaroslav I. 4 Holden, Helge 4 Juršėnas, Rytis 4 Karabash, Illya M. 4 Lenz, Daniel H. 4 Liflyand, Elijah 4 Makarov, Konstantin A. 4 Philipp, Friedrich 4 Sadovnichaya, Inna Viktorovna 4 Sandovici, Adrian 4 Shkalikov, Andreĭ Andreevich 4 Silva, Luis O. 4 Simonov, Sergey A. 4 Trigub, Roal’d Mikhaĭlovich 4 Tuna, Hüseyin 4 Weikard, Rudi 4 Wietsma, Hendrik Luit 4 Woracek, Harald 4 Yakubovich, Dmitry V. 3 Akhtyamov, Azamat Moukhtarovich 3 Aleroeva, Hedi T. 3 Arov, Damir Zyamovich 3 Ashbaugh, Mark S. 3 Azizov, Tomas Ya. 3 Baranov, Anton D. 3 Boitsev, A. A. 3 Braeutigam, Irina N. 3 Brüning, Jochen 3 Cacciapuoti, Claudio ...and 403 more Authors all top 5 Cited in 144 Serials 44 Journal of Mathematical Analysis and Applications 37 Integral Equations and Operator Theory 36 Journal of Functional Analysis 36 Journal of Mathematical Sciences (New York) 33 Journal of Differential Equations 26 Mathematical Notes 25 Mathematische Nachrichten 21 Complex Analysis and Operator Theory 20 Differential Equations 18 Journal of Mathematical Physics 17 Doklady Mathematics 16 Ukrainian Mathematical Journal 16 Annales Henri Poincaré 15 Linear Algebra and its Applications 14 Functional Analysis and its Applications 11 Advances in Mathematics 11 Russian Journal of Mathematical Physics 11 Journal of Spectral Theory 8 Letters in Mathematical Physics 7 Reviews in Mathematical Physics 7 Transactions of the American Mathematical Society 6 Journal d’Analyse Mathématique 6 Reports on Mathematical Physics 6 St. Petersburg Mathematical Journal 5 Applied Mathematics and Computation 5 Journal of Approximation Theory 5 Journal of Computational and Applied Mathematics 5 Transactions of the Moscow Mathematical Society 5 Indagationes Mathematicae. 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Serie VII 2 SIAM Journal on Mathematical Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Difference Equations and Applications 2 Sbornik: Mathematics 2 The Journal of Fourier Analysis and Applications 2 Abstract and Applied Analysis 2 Journal of Evolution Equations 2 Journal of the Australian Mathematical Society 2 Mediterranean Journal of Mathematics 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Banach Journal of Mathematical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Arabian Journal of Mathematics 2 Journal of Function Spaces 2 Advances in Operator Theory 1 International Journal of Solids and Structures 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Dissertationes Mathematicae 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. 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