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Author ID: malamud.mark-m Recent zbMATH articles by "Malamud, Mark M."
Published as: Malamud, M. M.; Malamud, Mark; Malamud, Mark M.; Malamud, M.
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all top 5

Co-Authors

53 single-authored
28 Derkach, Volodymyr Oleksandrovych
27 Neidhardt, Hagen
14 Hassi, Seppo
14 Kostenko, Aleksey S.
12 Lunyov, Anton A.
11 Mogilevskii, Vadim
10 Oridoroga, Leonid L.
8 Budyka, Viktoriya S.
8 Tsekanovskii, Eduard R.
7 de Snoo, Hendrik S. V.
6 Albeverio, Sergio A.
6 Behrndt, Jussi
6 Limanskii, Dmitrii V.
5 Brasche, Johannes Friedemann
4 Domanov, Ignat
4 Lesch, Matthias
4 Peller, Vladimir Vsevolodovich
4 Posilicano, Andrea
3 Exner, Pavel
3 Granovskyi, Yaroslav I.
3 Karabash, Illya M.
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 Leonidovich
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, Anton 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, V. V.
1 Marchenko, Vladimir Aleksandrovich
1 Mirzoev, Karakhan Agakhan
1 Mitrea, Marius
1 Naboko, Serguei N.
1 Natiagailo, Daria
1 Natyagailo, D. D.
1 Nicolussi, Noema
1 Novikov, Sergeĭ Petrovich
1 Paneah, Boris
1 Pokrovskiĭ, I. L.
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

23 Doklady Mathematics
12 Mathematical Notes
12 Functional Analysis and its Applications
8 Russian Journal of Mathematical Physics
7 Ukrainian Mathematical Journal
7 Integral Equations and Operator Theory
7 Journal of Differential Equations
7 Journal of Functional Analysis
7 Soviet Mathematics. Doklady
6 Journal of Mathematical Sciences (New York)
6 Methods of Functional Analysis and Topology
5 Mathematische Nachrichten
4 Journal of Mathematical Analysis and Applications
4 Ukraïns’kyĭ Matematychnyĭ Zhurnal
4 Transactions of the Moscow Mathematical Society
4 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky
4 Annales Henri Poincaré
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 Lobachevskii Journal of Mathematics
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

Publications by Year

Citations contained in zbMATH Open

145 Publications have been cited 2,300 times in 887 Documents Cited by Year
Generalized resolvents and the boundary value problems for Hermitian operators with gaps. Zbl 0748.47004
Derkach, V. A.; Malamud, M. M.
268
1991
The extension theory of Hermitian operators and the moment problem. Zbl 0848.47004
Derkach, V. A.; Malamud, M. M.
153
1995
On the deficiency indices and self-adjointness of symmetric Hamiltonian systems. Zbl 1016.37026
Lesch, Matthias; Malamud, Mark
88
2003
1-D Schrödinger operators with local point interactions on a discrete set. Zbl 1195.47031
Kostenko, Aleksey S.; Malamud, Mark M.
79
2010
Boundary relations and their Weyl families. Zbl 1123.47004
Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; De Snoo, Henk
76
2006
On a formula of generalized resolvents of a non-densely given Hermitian operator. Zbl 0789.47005
Malamud, M. M.
55
1992
Boundary relations and generalized resolvents of symmetric operators. Zbl 1182.47026
Derkach, V.; Hassi, S.; Malamud, M.; De Snoo, H.
54
2009
Uniqueness questions in inverse problems for systems of differential equations on a finite interval. Zbl 0939.34012
Malamud, M. M.
52
1999
Generalized resolvents of symmetric operators and admissibility. Zbl 0973.47020
Derkach, V. A.; Hassi, S.; Malamud, M. M.; de Snoo, H. S. V.
47
2000
Weyl function and spectral properties of self-adjoint extensions. Zbl 1008.47028
Brasche, Johannes F.; Malamud, Mark; Neidhardt, Hagen
45
2002
Spectral theory of elliptic operators in exterior domains. Zbl 1202.35142
Malamud, M. M.
40
2010
On the spectral theory of Gesztesy-Šeba realizations of 1-D Dirac operators with point interactions on a discrete set. Zbl 1277.34120
Carlone, Raffaele; Malamud, Mark; Posilicano, Andrea
40
2013
Scattering matrices and Weyl functions. Zbl 1161.47008
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
39
2008
Spectral theory of semibounded Sturm-Liouville operators with local interactions on a discrete set. Zbl 1314.81059
Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark
38
2010
Krein type formula for canonical resolvents of dual pairs of linear relations. Zbl 1074.47501
Malamud, M. M.; Mogilevsky, V. I.
37
2002
On Kreĭn’s extension theory of nonnegative operators. Zbl 1076.47008
Hassi, Seppo; Malamud, Mark; de Snoo, Henk
32
2004
Spectral theory of operator measures in Hilbert space. Zbl 1076.47001
Malamud, M. M.; Malamud, S. M.
31
2004
On the Weyl function and Hermitian operators with gaps. Zbl 0655.47005
Derkach, V. A.; Malamud, M. M.
31
1987
Sturm-Liouville boundary value problems with operator potentials and unitary equivalence. Zbl 1257.47053
Malamud, Mark; Neidhardt, Hagen
31
2012
On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators. Zbl 1336.34121
Lunyov, Anton A.; Malamud, Mark M.
30
2016
On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations. Zbl 1256.34075
Malamud, Mark M.; Oridoroga, Leonid L.
29
2012
Certain classes of extensions of a lacunary Hermitian operator. Zbl 0804.47011
Malamud, M. M.
28
1992
Spectral theory of infinite quantum graphs. Zbl 1476.81047
Exner, Pavel; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen
28
2018
Boundary triplets and Weyl functions. Recent developments. Zbl 1320.47024
Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; de Snoo, Henk
27
2012
One-dimensional Schrödinger operator with \(\delta\)-interactions. Zbl 1210.47068
Kostenko, A. S.; Malamud, M. M.
25
2010
On the unitary equivalence of absolutely continuous parts of self-adjoint extensions. Zbl 1241.47011
Malamud, Mark M.; Neidhardt, Hagen
25
2011
1-D Schrödinger operators with local point interactions: a review. Zbl 1319.34003
Kostenko, Aleksey; Malamud, Mark
25
2013
On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications. Zbl 1333.47038
Lunyov, Anton A.; Malamud, Mark M.
22
2015
Trace formulas for additive and non-additive perturbations. Zbl 1380.47011
Malamud, Mark; Neidhardt, Hagen
22
2015
Indefinite Sturm–Liouville operators \((\operatorname{sgn} x)(-\frac{d^2}{dx^2}+q(x))\) with finite-zone potentials. Zbl 1146.47032
Karabash, I. M.; Malamud, M. M.
22
2007
Similarity of Volterra operators and related questions of the theory of differential equations of fractional order. Zbl 0846.34088
Malamud, M. M.
21
1994
Scattering matrices and Dirichlet-to-Neumann maps. Zbl 1376.35011
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
21
2017
On the completeness of the system of root vectors of the Sturm-Liouville operator with general boundary conditions. Zbl 1167.34393
Malamud, M. M.
21
2008
The similarity problem for \(J\)-nonnegative Sturm-Liouville operators. Zbl 1165.34012
Karabash, Illya M.; Kostenko, Aleksey S.; Malamud, Mark M.
21
2009
On extensions of dual pairs of operators. Zbl 0887.47008
Malamud, M. M.; Mogilevskij, V. I.
20
1997
Inverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functions. Zbl 1083.47020
Albeverio, S.; Brasche, J. F.; Malamud, M. M.; Neidhardt, H.
20
2005
The inverse spectral problem for first order systems on the half line. Zbl 0956.34072
Lesch, Matthias; Malamud, Mark M.
19
2000
Generalized polar decompositions for closed operators in Hilbert spaces and some applications. Zbl 1200.47003
Gesztesy, Fritz; Malamud, Mark; Mitrea, Marius; Naboko, Serguei
19
2009
Characteristic functions of almost solvable extensions of Hermitian operators. Zbl 0804.47009
Derkach, V. A.; Malamud, M. M.
18
1992
On the Riesz basis property of the root vector system for Dirac-type \(2\times 2\) systems. Zbl 1323.34094
Lunyov, A. A.; Malamud, M. M.
18
2014
Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions. Zbl 1256.35030
Malamud, Mark M.; Schmüdgen, Konrad
18
2012
One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets. Zbl 1296.34174
Eckhardt, Jonathan; Kostenko, Aleksey; Malamud, Mark; Teschl, Gerald
17
2014
Scattering theory for open quantum systems with finite rank coupling. Zbl 1144.81480
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
16
2007
Unitary equivalence of proper extensions of a symmetric operator and the Weyl function. Zbl 1285.47018
Hassi, Seppo; Malamud, Mark; Mogilevskii, Vadim
14
2013
Nonrelativistic limit for \(2p \times 2p\)-Dirac operators with point interactions on a discrete set. Zbl 1387.81214
Budyika, V.; Malamud, M.; Posilicano, A.
13
2017
Matrix Schrödinger operator with \(\delta\)-interactions. Zbl 06682139
Kostenko, A. S.; Malamud, M. M.; Natyagailo, D. D.
13
2016
Invariant and hyperinvariant subspaces of direct sums of simple Volterra operators. Zbl 0904.47005
Malamud, M. M.
12
1998
Uniqueness of the matrix Sturm-Liouville equation given a part of the monodromy matrix, and Borg type results. Zbl 1094.34010
Malamud, Mark M.
12
2005
Generalized boundary triples. I: Some classes of isometric and unitary boundary pairs and realization problems for subclasses of Nevanlinna functions. Zbl 1514.47006
Derkach, Volodymyr; Hassi, Seppo; Malamud, Mark
12
2020
On spectral synthesis for dissipative Dirac type operators. Zbl 1318.47058
Lunyov, Anton A.; Malamud, Mark M.
12
2014
On Borg-type theorems for first-order systems on a finite interval. Zbl 0942.34078
Malamud, M. M.
11
1999
On some classes of holomorphic operator functions with nonnegative imaginary part. Zbl 0943.47012
Derkach, V. A.; Malamud, M. M.
11
1997
Completeness theorems for systems of differential equations. Zbl 0979.34058
Malamud, M. M.; Oridoroga, L. L.
11
2000
On the spectral analysis of direct sums of Riemann-Liouville operators in Sobolev spaces of vector functions. Zbl 1220.47009
Domanov, I. Yu.; Malamud, M. M.
11
2009
Unique determination of a system by a part of the monodromy matrix. Zbl 1350.34025
Malamud, M. M.
10
2015
Radial positive definite functions and spectral theory of the Schrödinger operators with point interactions. Zbl 1272.47005
Goloshchapova, N.; Malamud, M.; Zastavnyi, V.
10
2012
Absolute continuity of spectral shift. Zbl 07004960
Malamud, M. M.; Neidhardt, H.; Peller, V. V.
10
2019
Perturbation determinants for singular perturbations. Zbl 1311.81129
Malamud, M.; Neidhardt, H.
10
2014
A criterion for the similarity of a closed operator to a self-adjoint operator. Zbl 0591.47002
Malamud, M. M.
9
1985
Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions. Zbl 1291.81152
Kostenko, Aleksey; Malamud, Mark
9
2014
Sectorial extensions of a positive operator, and the characteristic function. Zbl 0698.47004
Derkach, V. A.; Malamud, M. M.; Tsekanovskij, Eh. R.
9
1988
Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions. Zbl 06835367
Malamud, M. M.; Neidhardt, Hagen; Peller, V. V.
9
2017
On the completeness of systems of root vectors for first-order systems: application to the Regge problem. Zbl 1304.34143
Lunyov, A. A.; Malamud, M. M.
9
2013
Spherical Schrödinger operators with \({\delta}-\)type interactions. Zbl 1282.81067
Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen
9
2013
Analog of the Birkhoff theorem and the completeness results for fractional order differential equations. Zbl 1186.34125
Malamud, M. M.; Oridoroga, L. L.
8
2001
Multipliers in \(L_1\) and estimates for systems of differential operators. Zbl 1189.35052
Belinsky, E. S.; Dvejrin, M. Z.; Malamud, M. M.
8
2005
Sectorial extensions of a positive operator and a characteristic function. Zbl 0669.47022
Derkach, V. A.; Malamud, M. M.; Tsekanovskij, Eh. R.
8
1989
Positive definite functions and spectral properties of the Schrödinger operator with point interactions. Zbl 1244.47040
Goloshchapova, N. I.; Zastavnyi, V. P.; Malamud, M. M.
8
2011
On some classes of extensions of sectorial operators and dual pairs of contractions. Zbl 0985.47005
Malamud, M. M.
7
2001
Weyl functions and singular continuous spectra of self-adjoint extensions. Zbl 0988.47003
Brasche, J. F.; Malamud, M. M.; Neidhardt, H.
7
2000
Similarity of a triangular operator to a diagonal operator. Zbl 1025.47012
Malamud, M. M.
7
2000
Operator holes and extensions of sectorial operators and dual pairs of contractions. Zbl 1111.47017
Malamud, Mark
7
2006
On the completeness of general boundary value problems for \(2\times 2\) first order systems of ordinary differential equations. Zbl 1249.34249
Agibalova, A. V.; Malamud, M. M.; Oridoroga, L. L.
7
2012
A class of Hermitian operator extensions and the Weyl function. Zbl 0715.47013
Derkach, V. A.; Malamud, M. M.
7
1989
Self-adjointness and discreteness of the spectrum of block Jacobi matrices. Zbl 1508.47069
Budyka, V. S.; Malamud, M. M.
7
2020
Finite rank perturbations, scattering matrices and inverse problems. Zbl 1192.47008
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
6
2010
Sectorial extensions of a positive operator and the characteristic function. Zbl 0709.47033
Derkach, V. A.; Malamud, M. M.; Tsekanovskij, Eh. R.
6
1989
Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions. Zbl 1493.47041
Budyka, Viktoriya S.; Malamud, Mark M.
6
2022
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 1381.47008
Malamud, Mark; Neidhardt, Hagen; Peller, Vladimir
5
2017
To the spectral theory of one-dimensional matrix Dirac operators with point matrix interactions. Zbl 1494.47071
Budyka, V. S.; Malamud, M. M.; Posilicano, A.
5
2018
On an approach to the theory of extensions of a non-densely given Hermitian operator. Zbl 0721.47010
Malamud, M. M.
5
1990
Weyl solutions and \(j\)-selfadjointness for Dirac operators. Zbl 1543.47091
Brown, B. Malcolm; Klaus, Martin; Malamud, Mark; Mogilevskii, Vadim; Wood, Ian
5
2019
Stability of spectral characteristics of boundary value problems for \(2 \times 2\) Dirac type systems: applications to the damped string. Zbl 1498.34229
Lunyov, Anton A.; Malamud, Mark M.
5
2022
On the spectral theory of operator measures. Zbl 1030.47015
Malamud, M. M.; Malamud, S. M.
4
2002
Characteristic functions of linear operators. Zbl 0820.47007
Derkach, V. A.; Malamud, M. M.
4
1992
A connection between the potential matrix of the Dirac system and its Wronskian. Zbl 0883.34018
Malamud, M. M.
4
1995
On reproducing subspaces of Volterra operators. Zbl 0894.47038
Malamud, M. M.
4
1996
Generalized resolvents of symmetric operators. Zbl 1076.47002
Malamud, M. M.; Mogilevskii, V. I.
4
2003
On some problems of spectral theory of ordinary differential equations of fractional order. Zbl 0926.34065
Malamud, M. M.; Oridoroga, L. L.
4
1998
Schrödinger operators with \(\delta^{\prime}\)-interactions and the Kreĭn-Stieltjes string. Zbl 1204.47052
Kostenko, A. S.; Malamud, M. M.
4
2010
Necessary conditions for the existence of a transformation operator for higher-order equations. Zbl 0516.34038
Malamud, M. M.
4
1983
On the completeness of the root vector system of the Sturm-Liouville operator with general boundary conditions. Zbl 1163.34395
Malamud, M. M.
4
2008
On the deficiency indices of block Jacobi matrices related to Dirac operators with point interactions. Zbl 1441.47037
Budyka, V. S.; Malamud, M. M.
4
2019
Generalized resolvents and boundary triplets for dual pairs of linear relations. Zbl 1094.47002
Hassi, Seppo; Malamud, Mark; Mogilevskii, Vadim
4
2005
On extensions of Hermitian sectorial operators and dual pairs of contractions. Zbl 0704.47005
Malamud, M. M.
4
1989
On the completeness of the root vectors of first-order systems. Zbl 1231.34152
Malamud, M. M.; Oridoroga, L. L.
4
2010
On Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systems. Zbl 1287.34016
Albeverio, Sergio; Malamud, Mark; Mogilevskii, Vadim
4
2013
Boundary triplets, tensor products and point contacts to reservoirs. Zbl 1508.81824
Boitsev, A. A.; Brasche, J. F.; Malamud, M. M.; Neidhardt, H.; Popov, I. Yu.
4
2018
Non-self-adjoint extensions of a Hermitian operator and their characteristic functions. Zbl 0971.47003
Derkach, V. A.; Malamud, M. M.
3
1999
Schoenberg matrices of radial positive definite functions and Riesz sequences of translates in \(L^2(\mathbb R^n)\). Zbl 1325.42006
Golinskii, L.; Malamud, M.; Oridoroga, L.
3
2015
Deficiency indices of block Jacobi matrices: survey. Zbl 1532.15002
Budyka, V.; Malamud, M.; Mirzoev, K.
1
2024
On the asymptotic expansion of the characteristic determinant for a \(2 \times 2\) Dirac type system. Zbl 07940593
Lunev, A.; Malamud, M.
1
2024
To Birman-Krein-Vishik theory. Zbl 1530.47024
Malamud, M.
1
2023
On the Birman problem in the theory of nonnegative symmetric operators with compact inverse. Zbl 07786662
Malamud, M. M.
1
2023
Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions. Zbl 1493.47041
Budyka, Viktoriya S.; Malamud, Mark M.
6
2022
Stability of spectral characteristics of boundary value problems for \(2 \times 2\) Dirac type systems: applications to the damped string. Zbl 1498.34229
Lunyov, Anton A.; Malamud, Mark M.
5
2022
A Glazman-Povzner-Wienholtz theorem on graphs. Zbl 1503.81035
Kostenko, Aleksey; Malamud, Mark; Nicolussi, Noema
3
2022
Generalized boundary triples. II: Some applications of generalized boundary triples and form domain invariant Nevanlinna functions. Zbl 1544.47037
Derkach, Volodymyr; Hassi, Seppo; Malamud, Mark
3
2022
Invariant Schrödinger operators with point interactions at the vertices of a regular polyhedron. Zbl 07431866
Malamud, M. M.; Marchenko, V. V.
2
2021
On the discreteness of the spectrum of matrix Schrödinger and Dirac operators with point interactions. Zbl 07455576
Budyka, V. S.; Malamud, M. M.
2
2021
Non-compact quantum graphs with summable matrix potentials. Zbl 1457.81043
Granovskyi, Yaroslav; Malamud, Mark; Neidhardt, Hagen
1
2021
Generalized boundary triples. I: Some classes of isometric and unitary boundary pairs and realization problems for subclasses of Nevanlinna functions. Zbl 1514.47006
Derkach, Volodymyr; Hassi, Seppo; Malamud, Mark
12
2020
Self-adjointness and discreteness of the spectrum of block Jacobi matrices. Zbl 1508.47069
Budyka, V. S.; Malamud, M. M.
7
2020
Absolute continuity of spectral shift. Zbl 07004960
Malamud, M. M.; Neidhardt, H.; Peller, V. V.
10
2019
Weyl solutions and \(j\)-selfadjointness for Dirac operators. Zbl 1543.47091
Brown, B. Malcolm; Klaus, Martin; Malamud, Mark; Mogilevskii, Vadim; Wood, Ian
5
2019
On the deficiency indices of block Jacobi matrices related to Dirac operators with point interactions. Zbl 1441.47037
Budyka, V. S.; Malamud, M. M.
4
2019
On singular spectrum of finite-dimensional perturbations (toward the Aronszajn-Donoghue-Kac theory). Zbl 07143394
Malamud, M. M.
2
2019
Completeness property of one-dimensional perturbations of normal and spectral operators generated by first order systems. Zbl 07123538
Agibalova, Anna V.; Lunyov, Anton A.; Malamud, Mark M.; Oridoroga, Leonid L.
2
2019
Quantum graphs with summable matrix potentials. Zbl 1435.81081
Granovskyi, Ya. I.; Malamud, M. M.; Neidhardt, H.
1
2019
Spectral theory of infinite quantum graphs. Zbl 1476.81047
Exner, Pavel; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen
28
2018
To the spectral theory of one-dimensional matrix Dirac operators with point matrix interactions. Zbl 1494.47071
Budyka, V. S.; Malamud, M. M.; Posilicano, A.
5
2018
Boundary triplets, tensor products and point contacts to reservoirs. Zbl 1508.81824
Boitsev, A. A.; Brasche, J. F.; Malamud, M. M.; Neidhardt, H.; Popov, I. Yu.
4
2018
Radial positive definite functions and Schoenberg matrices with negative eigenvalues. Zbl 1381.42014
Golinskii, L.; Malamud, M.; Oridoroga, L.
3
2018
Scattering matrices and Dirichlet-to-Neumann maps. Zbl 1376.35011
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
21
2017
Nonrelativistic limit for \(2p \times 2p\)-Dirac operators with point interactions on a discrete set. Zbl 1387.81214
Budyika, V.; Malamud, M.; Posilicano, A.
13
2017
Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions. Zbl 06835367
Malamud, M. M.; Neidhardt, Hagen; Peller, V. V.
9
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 1381.47008
Malamud, Mark; Neidhardt, Hagen; Peller, Vladimir
5
2017
Infinite quantum graphs. Zbl 1365.05177
Kostenko, A. S.; Malamud, M. M.; Neidhardt, H.; Exner, P.
3
2017
To the spectral theory of vector-valued Sturm-Liouville operators with summable potentials and point interactions. Zbl 1461.47022
Granovskyi, Yaroslav; Malamud, Mark; Neidhardt, Hagen; Posilicano, Andrea
2
2017
On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators. Zbl 1336.34121
Lunyov, Anton A.; Malamud, Mark M.
30
2016
Matrix Schrödinger operator with \(\delta\)-interactions. Zbl 06682139
Kostenko, A. S.; Malamud, M. M.; Natyagailo, D. D.
13
2016
On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications. Zbl 1333.47038
Lunyov, Anton A.; Malamud, Mark M.
22
2015
Trace formulas for additive and non-additive perturbations. Zbl 1380.47011
Malamud, Mark; Neidhardt, Hagen
22
2015
Unique determination of a system by a part of the monodromy matrix. Zbl 1350.34025
Malamud, M. M.
10
2015
Schoenberg matrices of radial positive definite functions and Riesz sequences of translates in \(L^2(\mathbb R^n)\). Zbl 1325.42006
Golinskii, L.; Malamud, M.; Oridoroga, L.
3
2015
Trace formulas for singular and additive non-selfadjoint perturbations. Zbl 1339.81043
Malamud, M. M.; Neidhardt, H.
2
2015
On the Riesz basis property of the root vector system for Dirac-type \(2\times 2\) systems. Zbl 1323.34094
Lunyov, A. A.; Malamud, M. M.
18
2014
One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets. Zbl 1296.34174
Eckhardt, Jonathan; Kostenko, Aleksey; Malamud, Mark; Teschl, Gerald
17
2014
On spectral synthesis for dissipative Dirac type operators. Zbl 1318.47058
Lunyov, Anton A.; Malamud, Mark M.
12
2014
Perturbation determinants for singular perturbations. Zbl 1311.81129
Malamud, M.; Neidhardt, H.
10
2014
Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions. Zbl 1291.81152
Kostenko, Aleksey; Malamud, Mark
9
2014
On the spectral theory of Gesztesy-Šeba realizations of 1-D Dirac operators with point interactions on a discrete set. Zbl 1277.34120
Carlone, Raffaele; Malamud, Mark; Posilicano, Andrea
40
2013
1-D Schrödinger operators with local point interactions: a review. Zbl 1319.34003
Kostenko, Aleksey; Malamud, Mark
25
2013
Unitary equivalence of proper extensions of a symmetric operator and the Weyl function. Zbl 1285.47018
Hassi, Seppo; Malamud, Mark; Mogilevskii, Vadim
14
2013
On the completeness of systems of root vectors for first-order systems: application to the Regge problem. Zbl 1304.34143
Lunyov, A. A.; Malamud, M. M.
9
2013
Spherical Schrödinger operators with \({\delta}-\)type interactions. Zbl 1282.81067
Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen
9
2013
On Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systems. Zbl 1287.34016
Albeverio, Sergio; Malamud, Mark; Mogilevskii, Vadim
4
2013
Sturm-Liouville boundary value problems with operator potentials and unitary equivalence. Zbl 1257.47053
Malamud, Mark; Neidhardt, Hagen
31
2012
On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations. Zbl 1256.34075
Malamud, Mark M.; Oridoroga, Leonid L.
29
2012
Boundary triplets and Weyl functions. Recent developments. Zbl 1320.47024
Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; de Snoo, Henk
27
2012
Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions. Zbl 1256.35030
Malamud, Mark M.; Schmüdgen, Konrad
18
2012
Radial positive definite functions and spectral theory of the Schrödinger operators with point interactions. Zbl 1272.47005
Goloshchapova, N.; Malamud, M.; Zastavnyi, V.
10
2012
On the completeness of general boundary value problems for \(2\times 2\) first order systems of ordinary differential equations. Zbl 1249.34249
Agibalova, A. V.; Malamud, M. M.; Oridoroga, L. L.
7
2012
On the unitary equivalence of the proper extensions of a Hermitian operator and the Weyl function. Zbl 1285.47019
Malamud, M. M.; Mogilevskii, V. I.; Hassi, S.
1
2012
On the unitary equivalence of absolutely continuous parts of self-adjoint extensions. Zbl 1241.47011
Malamud, Mark M.; Neidhardt, Hagen
25
2011
Positive definite functions and spectral properties of the Schrödinger operator with point interactions. Zbl 1244.47040
Goloshchapova, N. I.; Zastavnyi, V. P.; Malamud, M. M.
8
2011
1-D Schrödinger operators with local point interactions on a discrete set. Zbl 1195.47031
Kostenko, Aleksey S.; Malamud, Mark M.
79
2010
Spectral theory of elliptic operators in exterior domains. Zbl 1202.35142
Malamud, M. M.
40
2010
Spectral theory of semibounded Sturm-Liouville operators with local interactions on a discrete set. Zbl 1314.81059
Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark
38
2010
One-dimensional Schrödinger operator with \(\delta\)-interactions. Zbl 1210.47068
Kostenko, A. S.; Malamud, M. M.
25
2010
Finite rank perturbations, scattering matrices and inverse problems. Zbl 1192.47008
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
6
2010
Schrödinger operators with \(\delta^{\prime}\)-interactions and the Kreĭn-Stieltjes string. Zbl 1204.47052
Kostenko, A. S.; Malamud, M. M.
4
2010
On the completeness of the root vectors of first-order systems. Zbl 1231.34152
Malamud, M. M.; Oridoroga, L. L.
4
2010
On the Kato-Rosenblum and Weyl-von Neumann theorems. Zbl 1213.47024
Malamud, M. M.; Neidhardt, H.
2
2010
Boundary relations and generalized resolvents of symmetric operators. Zbl 1182.47026
Derkach, V.; Hassi, S.; Malamud, M.; De Snoo, H.
54
2009
The similarity problem for \(J\)-nonnegative Sturm-Liouville operators. Zbl 1165.34012
Karabash, Illya M.; Kostenko, Aleksey S.; Malamud, Mark M.
21
2009
Generalized polar decompositions for closed operators in Hilbert spaces and some applications. Zbl 1200.47003
Gesztesy, Fritz; Malamud, Mark; Mitrea, Marius; Naboko, Serguei
19
2009
On the spectral analysis of direct sums of Riemann-Liouville operators in Sobolev spaces of vector functions. Zbl 1220.47009
Domanov, I. Yu.; Malamud, M. M.
11
2009
Trace formulae for dissipative and coupled scattering systems. Zbl 1175.47008
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
3
2009
Scattering matrices and Weyl functions. Zbl 1161.47008
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
39
2008
On the completeness of the system of root vectors of the Sturm-Liouville operator with general boundary conditions. Zbl 1167.34393
Malamud, M. M.
21
2008
On the completeness of the root vector system of the Sturm-Liouville operator with general boundary conditions. Zbl 1163.34395
Malamud, M. M.
4
2008
Quasi-elliptic and weakly coercive systems in Sobolev spaces of vector functions. Zbl 1176.35051
Limanskii, D. V.; Malamud, M. M.
3
2008
Elliptic and weakly coercive systems of operators in Sobolev spaces. Zbl 1189.47044
Limanskiǐ, D. V.; Malamud, M. M.
1
2008
On an analogue of the de Leeuw and Mirkil theorem for operators with variable coefficients. Zbl 1161.47031
Limanskii, D. V.; Malamud, M. M.
1
2008
Indefinite Sturm–Liouville operators \((\operatorname{sgn} x)(-\frac{d^2}{dx^2}+q(x))\) with finite-zone potentials. Zbl 1146.47032
Karabash, I. M.; Malamud, M. M.
22
2007
Scattering theory for open quantum systems with finite rank coupling. Zbl 1144.81480
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
16
2007
Weakly coercive non-quasi-elliptic systems of differential operators in \(W _{l}^{p} (\mathbb R^{n})\). Zbl 1162.47039
Limanskii, D. V.; Malamud, M. M.
2
2007
Boundary relations and their Weyl families. Zbl 1123.47004
Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; De Snoo, Henk
76
2006
Operator holes and extensions of sectorial operators and dual pairs of contractions. Zbl 1111.47017
Malamud, Mark
7
2006
Selfadjoint extensions with several gaps: finite deficiency indices. Zbl 1112.47010
Brasche, J. F.; Malamud, M. M.; Neidhardt, H.
2
2006
Borg-type theorems for high-order equations with matrix coefficients. Zbl 1148.34305
Malamud, M. M.
1
2006
Inverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functions. Zbl 1083.47020
Albeverio, S.; Brasche, J. F.; Malamud, M. M.; Neidhardt, H.
20
2005
Uniqueness of the matrix Sturm-Liouville equation given a part of the monodromy matrix, and Borg type results. Zbl 1094.34010
Malamud, Mark M.
12
2005
Multipliers in \(L_1\) and estimates for systems of differential operators. Zbl 1189.35052
Belinsky, E. S.; Dvejrin, M. Z.; Malamud, M. M.
8
2005
Generalized resolvents and boundary triplets for dual pairs of linear relations. Zbl 1094.47002
Hassi, Seppo; Malamud, Mark; Mogilevskii, Vadim
4
2005
Boundary relations and orthogonal coupling of symmetric operators. Zbl 1110.47007
Derkach, Vladimir; Hassi, Seppo; Malamud, Mark; de Snoo, Henk
2
2005
On Kreĭn’s extension theory of nonnegative operators. Zbl 1076.47008
Hassi, Seppo; Malamud, Mark; de Snoo, Henk
32
2004
Spectral theory of operator measures in Hilbert space. Zbl 1076.47001
Malamud, M. M.; Malamud, S. M.
31
2004
The similarity of a \(J\)-self-adjoint Sturm-Liouville operator with finite-gap potential to a self-adjoint operator. Zbl 1282.34088
Karabash, I. M.; Malamud, M. M.
3
2004
Resolvent matrices and spectral functions of an isometric operator. Zbl 1127.47305
Malamud, M. M.; Mogilevskiĭ, V. I.
2
2004
On the deficiency indices and self-adjointness of symmetric Hamiltonian systems. Zbl 1016.37026
Lesch, Matthias; Malamud, Mark
88
2003
Generalized resolvents of symmetric operators. Zbl 1076.47002
Malamud, M. M.; Mogilevskii, V. I.
4
2003
Weyl function and spectral properties of self-adjoint extensions. Zbl 1008.47028
Brasche, Johannes F.; Malamud, Mark; Neidhardt, Hagen
45
2002
Krein type formula for canonical resolvents of dual pairs of linear relations. Zbl 1074.47501
Malamud, M. M.; Mogilevsky, V. I.
37
2002
On the spectral theory of operator measures. Zbl 1030.47015
Malamud, M. M.; Malamud, S. M.
4
2002
Invariant and hyperinvariant subspaces of an operator \(J^{\alpha}\) and related operator algebras in Sobolev spaces. Zbl 1006.47003
Domanov, I. Yu.; Malamud, M. M.
3
2002
Analog of the Birkhoff theorem and the completeness results for fractional order differential equations. Zbl 1186.34125
Malamud, M. M.; Oridoroga, L. L.
8
2001
On some classes of extensions of sectorial operators and dual pairs of contractions. Zbl 0985.47005
Malamud, M. M.
7
2001
On the deficiency indices of Hamiltonian systems. Zbl 1053.47042
Lesch, M.; Malamud, M. M.
1
2001
...and 45 more Documents
all top 5

Cited by 644 Authors

82 Malamud, Mark M.
59 Behrndt, Jussi
32 Gesztesy, Fritz
32 Kostenko, Aleksey S.
30 Derkach, Volodymyr Oleksandrovych
29 Neidhardt, Hagen
24 Hassi, Seppo
21 Posilicano, Andrea
20 Mogilevskii, Vadim
19 Makin, Alexander S.
18 de Snoo, Hendrik S. V.
18 Korotyaev, Evgeny L.
17 Lotoreichik, Vladimir
16 Pankrashkin, Konstantin
14 Albeverio, Sergio A.
14 Arlins’kyĭ, Yuriĭ Moĭseĭovych
14 Trunk, Carsten
12 Holzmann, Markus
12 Kiselev, Alexander V.
12 Teschl, Gerald
11 Naboko, Serguei N.
11 Tsekanovskii, Eduard R.
11 Wood, Ian Geoffrey
10 Eckhardt, Jonathan
10 Peller, Vladimir Vsevolodovich
10 Shi, Yuming
10 Winkler, Henrik
10 Yang, Chuanfu
9 Budyka, Viktoriya S.
9 Cherednichenko, Kirill D.
9 Exner, Pavel
9 Lunyov, Anton A.
9 Mantile, Andrea
9 Oridoroga, Leonid L.
9 Popov, Igor’ Yur’evich
8 Allahverdiev, Bilender Paşaoğlu
8 Bondarenko, Natalia P.
8 Brasche, Johannes Friedemann
8 Ershova, Yulia Yu.
8 Langer, Matthias
8 Mitrea, Marius
8 Qi, Jiangang
8 Ren, Guojing
8 Rohleder, Jonathan
8 Savchuk, Artem M.
8 Zemánek, Petr
7 Belyi, Sergey V.
7 Brown, B. Malcolm
7 Gil’, Michael Iosif
7 Kovalyov, Ivan Mikhailovich
7 Kuzhel, Sergei
7 Marletta, Marco
7 Nichols, Roger
7 Nicolussi, Noema
7 Zinchenko, Maxim
6 Akhtyamov, Azamat Moukhtarovich
6 Derevyagin, Maxim S.
6 Dym, Harry
6 Frymark, Dale
6 Garayev, Mübariz Tapdıgoğlu
6 Juršėnas, Rytis
6 Langer, Heinz
6 Mirzoev, Karakhan Agakhan
6 Sadovnichaya, Inna Viktorovna
6 Silva, Luis O.
6 Sun, Huaqing
6 Tuna, Hüseyin
6 Wei, Guangsheng
6 Weikard, Rudi
6 Zheng, Zhaowen
5 Aleksandrov, Aleksei B.
5 Anan’eva, Aleksandra Yur’evna
5 Baidiuk, Dmytro V.
5 Grubb, Gerd
5 Karabash, Illya M.
5 Makarov, Konstantin A.
5 Nizhnik, Leonid
5 Pechentsov, A. S.
5 Sandovici, Adrian
5 Shkalikov, Andreĭ Andreevich
5 Simonov, Sergey A.
5 Tretter, Christiane
5 Tušek, Matěj
5 Ugurlu, Ekin
5 Yakubovich, Dmitry V.
4 Aleroev, Temirkhan Sultanovich
4 Ashbaugh, Mark S.
4 Cacciapuoti, Claudio
4 Carlone, Raffaele
4 Chattopadhyay, Arup
4 Clark, Stephen L.
4 Ćurgus, Branko
4 Fischbacher, Christoph
4 Geyler, Vladimir A.
4 Granovskyi, Yaroslav I.
4 Gurdal, Mehmet
4 Holden, Helge
4 Ismailov, Mansur I.
4 Khrabustovskyi, Andrii
4 Lenz, Daniel H.
...and 544 more Authors
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Cited in 176 Serials

51 Journal of Mathematical Analysis and Applications
51 Mathematische Nachrichten
44 Journal of Mathematical Sciences (New York)
42 Integral Equations and Operator Theory
37 Journal of Differential Equations
37 Journal of Functional Analysis
28 Mathematical Notes
27 Complex Analysis and Operator Theory
26 Differential Equations
23 Journal of Mathematical Physics
20 Doklady Mathematics
19 Annales Henri Poincaré
17 Functional Analysis and its Applications
17 Journal of Spectral Theory
16 Ukrainian Mathematical Journal
16 Linear Algebra and its Applications
15 Russian Journal of Mathematical Physics
12 Advances in Mathematics
11 Analysis and Mathematical Physics
9 Letters in Mathematical Physics
9 Reviews in Mathematical Physics
9 St. Petersburg Mathematical Journal
8 Transactions of the American Mathematical Society
8 Operators and Matrices
7 Applicable Analysis
7 Reports on Mathematical Physics
7 Opuscula Mathematica
6 Communications in Mathematical Physics
6 Journal d’Analyse Mathématique
6 Transactions of the Moscow Mathematical Society
5 Applied Mathematics and Computation
5 Journal of Approximation Theory
5 Journal of Computational and Applied Mathematics
5 Proceedings of the American Mathematical Society
5 Indagationes Mathematicae. New Series
5 Filomat
4 Inverse Problems
4 Linear and Multilinear Algebra
4 Mathematical Methods in the Applied Sciences
4 Communications in Partial Differential Equations
4 Calculus of Variations and Partial Differential Equations
4 Mathematical Physics, Analysis and Geometry
4 Lobachevskii Journal of Mathematics
4 Mediterranean Journal of Mathematics
3 Computers & Mathematics with Applications
3 Acta Scientiarum Mathematicarum
3 Archiv der Mathematik
3 Illinois Journal of Mathematics
3 Mathematische Annalen
3 Mathematika
3 Siberian Mathematical Journal
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Russian Mathematics
3 Sbornik: Mathematics
3 Abstract and Applied Analysis
3 Journal of Physics A: Mathematical and Theoretical
3 Annals of Functional Analysis
3 Carpathian Mathematical Publications
2 Analysis Mathematica
2 Physics Letters. A
2 Russian Mathematical Surveys
2 Theoretical and Mathematical Physics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Inventiones Mathematicae
2 Journal of the London Mathematical Society. Second Series
2 Mathematica Slovaca
2 Mathematische Zeitschrift
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Results in Mathematics
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 SIAM Journal on Applied Mathematics
2 SIAM Journal on Mathematical Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 Turkish Journal of Mathematics
2 Journal of Inverse and Ill-Posed Problems
2 Journal of Difference Equations and Applications
2 The Journal of Fourier Analysis and Applications
2 Discrete Dynamics in Nature and Society
2 Journal of Evolution Equations
2 Journal of the Australian Mathematical Society
2 Advances in Difference Equations
2 Boundary Value Problems
2 Complex Variables and Elliptic Equations
2 Applicable Analysis and Discrete Mathematics
2 Banach Journal of Mathematical Analysis
2 Discrete and Continuous Dynamical Systems. Series S
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Journal of Applied Mathematics & Informatics
2 Arabian Journal of Mathematics
2 Quantum Studies: Mathematics and Foundations
2 Journal of Function Spaces
2 Advances in Operator Theory
2 Baku Mathematical Journal
1 International Journal of Solids and Structures
1 Moscow University Mathematics Bulletin
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Mathematics of Computation
1 Annales de l’Institut Fourier
1 The Annals of Probability
...and 76 more Serials
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Cited in 42 Fields

587 Operator theory (47-XX)
363 Ordinary differential equations (34-XX)
185 Partial differential equations (35-XX)
180 Quantum theory (81-XX)
84 Functional analysis (46-XX)
39 Functions of a complex variable (30-XX)
36 Dynamical systems and ergodic theory (37-XX)
25 Difference and functional equations (39-XX)
22 Global analysis, analysis on manifolds (58-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
20 Combinatorics (05-XX)
17 Real functions (26-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
11 Integral equations (45-XX)
11 Statistical mechanics, structure of matter (82-XX)
9 Mechanics of deformable solids (74-XX)
7 Special functions (33-XX)
7 Approximations and expansions (41-XX)
7 Integral transforms, operational calculus (44-XX)
7 Optics, electromagnetic theory (78-XX)
7 Systems theory; control (93-XX)
6 Probability theory and stochastic processes (60-XX)
5 Potential theory (31-XX)
5 Numerical analysis (65-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Measure and integration (28-XX)
3 Abstract harmonic analysis (43-XX)
3 Mechanics of particles and systems (70-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
2 Relativity and gravitational theory (83-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Computer science (68-XX)
1 Fluid mechanics (76-XX)
1 Information and communication theory, circuits (94-XX)

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