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Malamud, Mark Mikhailovich
Associate professor
Candidate of physico-mathematical sciences (1977)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 20.01.1950
E-mail:
Keywords: inverse problems; transformation operators; similarity to self-adjoint operator and dissipative operator; similarity of Volterra operators; invariant subspaces of operators of different classes; completeness property and basis property of root subspaces for operators with discrete spectrum; estimates for systems of partially differential operators; extension theory of symmetric and isometric operators and interpolation problems of analysis; extensions of sectorial operators and dual pairs of operatos; operator measures.
   
Main publications:
  • Derkach V. A., Malamud M. M. Generalized resolvents and the boundary value problems for Hermitian operators with gaps // Journal of Functional Analysis, 1991, 95 (1), 1–95.

https://www.mathnet.ru/eng/person17880
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/193515

Publications in Math-Net.Ru Citations
2025
1. Ya. I. Granovskii, M. M. Malamud, “On the absolute continuity of the spectrum of Sturm–Liouville operator with matrix singular coefficients”, Zap. Nauchn. Sem. POMI, 541 (2025),  89–101  mathnet
2024
2. D. V. Limanskyii, M. M. Malamud, “On subordination conditions for systems of minimal differential operators”, CMFD, 70:1 (2024),  121–149  mathnet; Journal of Mathematical Sciences, 286:1 (2024), 109–136 2
3. M. M. Malamud, H. Neidhardt, V. V. Peller, “Real-valued spectral shift functions for contractions and dissipative operators”, Dokl. RAN. Math. Inf. Proc. Upr., 519 (2024),  28–32  mathnet  elib; Dokl. Math., 110:2 (2024), 399–403
4. M. M. Malamud, V. V. Marchenko, “On kernels of invariant Schrödinger operators with point interactions. Grinevich–Novikov conjecture”, Dokl. RAN. Math. Inf. Proc. Upr., 516 (2024),  31–37  mathnet  elib; Dokl. Math., 109:2 (2024), 125–129 2
2023
5. M. Malamud, “To Birman–Krein–Vishik theory”, Dokl. RAN. Math. Inf. Proc. Upr., 509 (2023),  54–59  mathnet  elib; Dokl. Math., 107:1 (2023), 44–48 1
6. M. M. Malamud, “On the Birman problem in the theory of nonnegative symmetric operators with compact inverse”, Funktsional. Anal. i Prilozhen., 57:2 (2023),  111–116  mathnet  mathscinet; Funct. Anal. Appl., 57:2 (2023), 173–177  isi  scopus 1
7. V. S. Budyka, M. M. Malamud, I. L. Pokrovski, “Deficiency Indices of Block Jacobi Matrices That Do Not Satisfy the Carleman Condition, and Operators with Point Interactions”, Mat. Zametki, 114:5 (2023),  789–795  mathnet  mathscinet; Math. Notes, 114:5 (2023), 1060–1066  scopus 1
8. A. A. Lunev, M. M. Malamud, “On an asymptotic expansion of the characteristic determinant for $2 \times 2$ Dirac type systems”, Zap. Nauchn. Sem. POMI, 527 (2023),  94–136  mathnet; J. Math. Sci. (N. Y.), 284:6 (2024), 795–823
2022
9. S. A. Aleroev, M. M. Malamud, “$j$-Self-Adjointness Conditions for Jacobi Matrices and Schrödinger and Dirac Operators with Point Interactions”, Mat. Zametki, 111:6 (2022),  940–946  mathnet; Math. Notes, 111:6 (2022), 970–976  scopus
10. A. Lunev, M. Malamud, “On characteristic determinants of boundary value problems for Dirac type systems”, Zap. Nauchn. Sem. POMI, 516 (2022),  69–120  mathnet 2
11. Ya. I. Granovskiy, M. M. Malamud, “Sturm-Liouville operators with $W^{-1,1}$-matrix potentials”, Zap. Nauchn. Sem. POMI, 516 (2022),  20–39  mathnet  mathscinet
2021
12. V. Budyka, M. Malamud, K. Mirzoev, “Deficiency indices of block Jacobi matrices: survey”, CMFD, 67:2 (2021),  237–254  mathnet 1
13. V. S. Budyka, M. M. Malamud, “On the Discreteness of the Spectrum of Matrix Schrödinger and Dirac Operators with Point Interactions”, Mat. Zametki, 110:6 (2021),  932–938  mathnet  elib; Math. Notes, 110:6 (2021), 960–966  isi  scopus 3
14. M. M. Malamud, V. V. Marchenko, “Invariant Schrödinger Operators with Point Interactions at the Vertices of a Regular Polyhedron”, Mat. Zametki, 110:3 (2021),  471–477  mathnet  elib; Math. Notes, 110:3 (2021), 463–469  isi  scopus 3
2020
15. V. S. Budyka, M. M. Malamud, “Self-Adjointness and Discreteness of the Spectrum of Block Jacobi Matrices”, Mat. Zametki, 108:3 (2020),  457–462  mathnet  mathscinet  elib; Math. Notes, 108:3 (2020), 445–450  isi  scopus 8
2019
16. V. S. Budyka, M. M. Malamud, “On the Deficiency Indices of Block Jacobi Matrices Related to Dirac Operators with Point Interactions”, Mat. Zametki, 106:6 (2019),  940–945  mathnet  mathscinet  elib; Math. Notes, 106:6 (2019), 1009–1014  isi  scopus 9
2017
17. M. M. Malamud, H. Neidhardt, V. V. Peller, “Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions”, Funktsional. Anal. i Prilozhen., 51:3 (2017),  33–55  mathnet  elib; Funct. Anal. Appl., 51:3 (2017), 185–203  isi  scopus 13
2016
18. A. S. Kostenko, M. M. Malamud, D. D. Natyagajlo, “Matrix Schrödinger Operator with $\delta$-Interactions”, Mat. Zametki, 100:1 (2016),  59–77  mathnet  mathscinet  elib; Math. Notes, 100:1 (2016), 49–65  isi  scopus 16
2015
19. M. M. Malamud, “Unique Determination of a System by a Part of the Monodromy Matrix”, Funktsional. Anal. i Prilozhen., 49:4 (2015),  33–49  mathnet  elib; Funct. Anal. Appl., 49:4 (2015), 264–278  isi  scopus 10
2012
20. M. M. Malamud, V. I. Mogilevskii, S. Hassi, “On the Unitary Equivalence of the Proper Extensions of a Hermitian Operator and the Weyl Function”, Mat. Zametki, 91:2 (2012),  316–320  mathnet  mathscinet  elib; Math. Notes, 91:2 (2012), 302–307  isi  elib  scopus 2
2011
21. N. I. Goloschapova, V. P. Zastavnyi, M. M. Malamud, “Positive Definite Functions and Spectral Properties of the Schrödinger Operator with Point Interactions”, Mat. Zametki, 90:1 (2011),  151–156  mathnet  mathscinet; Math. Notes, 90:1 (2011), 149–154  isi  scopus 14
2010
22. A. S. Kostenko, M. M. Malamud, “One-dimensional Schrödinger operator with $\delta$-interactions”, Funktsional. Anal. i Prilozhen., 44:2 (2010),  87–91  mathnet  mathscinet  zmath 35
2008
23. M. M. Malamud, “On the Completeness of the System of Root Vectors of the Sturm–Liouville Operator with General Boundary Conditions”, Funktsional. Anal. i Prilozhen., 42:3 (2008),  45–52  mathnet  mathscinet  zmath; Funct. Anal. Appl., 42:3 (2008), 198–204  isi  scopus 29
24. D. V. Lymanskyi, M. M. Malamud, “On an Analog of de Leeuw and Mirkil Theorem for Operators with Variable Coeficients”, Mat. Zametki, 83:5 (2008),  783–786  mathnet  mathscinet  zmath; Math. Notes, 83:5 (2008), 712–715  isi  scopus 2
25. D. V. Lymanskyi, M. M. Malamud, “Elliptic and weakly coercive systems of operators in Sobolev spaces”, Mat. Sb., 199:11 (2008),  75–112  mathnet  mathscinet  zmath  elib; Sb. Math., 199:11 (2008), 1649–1686  isi  elib  scopus 4
2003
26. M. M. Malamud, S. M. Malamud, “Spectral theory of operator measures in Hilbert space”, Algebra i Analiz, 15:3 (2003),  1–77  mathnet  mathscinet  zmath; St. Petersburg Math. J., 15:3 (2004), 323–373 53
27. M. M. Malamud, V. I. Mogilevskii, “Generalized Resolvents of Symmetric Operators”, Mat. Zametki, 73:3 (2003),  460–465  mathnet  mathscinet  zmath; Math. Notes, 73:3 (2003), 429–435  isi  scopus 10
2002
28. M. M. Malamud, S. M. Malamud, “On the Spectral Theory of Operator Measures”, Funktsional. Anal. i Prilozhen., 36:2 (2002),  83–89  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 36:2 (2002), 154–158  isi  scopus 8
2001
29. I. Yu. Domanov, M. M. Malamud, “Invariant and Hyperinvariant Subspace Lattices of Operators $J^\alpha\otimes B$ in Sobolev Spaces”, Mat. Zametki, 70:4 (2001),  560–567  mathnet  mathscinet  zmath  elib; Math. Notes, 70:4 (2001), 508–514  isi 2
2000
30. M. M. Malamud, L. L. Oridoroga, “Completeness Theorems for Systems of Differential Equations”, Funktsional. Anal. i Prilozhen., 34:4 (2000),  88–90  mathnet  mathscinet  zmath; Funct. Anal. Appl., 34:4 (2000), 308–310  isi 21
31. M. M. Malamud, “Similarity of a triangular operator to a diagonal one”, Zap. Nauchn. Sem. POMI, 270 (2000),  201–241  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:2 (2003), 2199–2222 15
1999
32. M. M. Malamud, “Borg Type Theorems for First-Order Systems on a Finite Interval”, Funktsional. Anal. i Prilozhen., 33:1 (1999),  75–80  mathnet  mathscinet  zmath; Funct. Anal. Appl., 33:1 (1999), 64–68  isi 17
1996
33. M. M. Malamud, “On reproducing subspaces of Volterra operators”, Dokl. Akad. Nauk, 351:4 (1996),  454–458  mathnet  mathscinet  zmath 2
1995
34. M. M. Malamud, “The relation between the matrix potential of a Dirac system and its Wronskian”, Dokl. Akad. Nauk, 344:5 (1995),  601–604  mathnet  mathscinet  zmath 1
35. M. M. Malamud, “Estimates for systems of minimal and maximal differential operators in $L_p(\Omega)$”, Tr. Mosk. Mat. Obs., 56 (1995),  206–261  mathnet  mathscinet 5
1994
36. M. M. Malamud, “Similarity of Volterra operators and related problems in the theory of differential equations of fractional orders”, Tr. Mosk. Mat. Obs., 55 (1994),  73–148  mathnet  mathscinet  zmath 18
1992
37. V. A. Derkach, M. M. Malamud, “Inverse problems for Weyl functions and preresolvent and resolvent matrices of Hermitian operators”, Dokl. Akad. Nauk, 326:1 (1992),  12–18  mathnet  mathscinet  zmath; Dokl. Math., 46:2 (1993), 190–197
38. V. A. Derkach, M. M. Malamud, “Characteristic functions of linear operators”, Dokl. Akad. Nauk, 323:5 (1992),  816–822  mathnet  mathscinet  zmath; Dokl. Math., 45:2 (1992), 417–424
1990
39. V. A. Derkach, M. M. Malamud, “The resolvent matrix of a Hermitian operator and the moment problem with gaps”, Dokl. Akad. Nauk SSSR, 314:2 (1990),  273–278  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 429–435
40. M. M. Malamud, “Boundary value problems for Hermitian operators with gaps”, Dokl. Akad. Nauk SSSR, 313:6 (1990),  1335–1340  mathnet  mathscinet  zmath; Dokl. Math., 42:1 (1991), 190–196
41. M. M. Malamud, “Estimates for a system of differential operators in $L_p(\Omega)$. A connection with results of L. Hörmander”, Dokl. Akad. Nauk SSSR, 312:6 (1990),  1312–1317  mathnet  mathscinet  zmath
42. M. M. Malamud, “On transformation operators for ordinary differential equations”, Tr. Mosk. Mat. Obs., 53 (1990),  68–97  mathnet  mathscinet  zmath 1
1989
43. M. M. Malamud, “Extensions of Hermitian sectorial operators and dual pairs of contractions”, Dokl. Akad. Nauk SSSR, 305:1 (1989),  35–41  mathnet  mathscinet  zmath; Dokl. Math., 39:2 (1989), 253–259
44. V. A. Derkach, M. M. Malamud, “A class of extensions of a Hermitian operator and the Weyl function”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 5,  71–75  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:5 (1989), 116–122
1988
45. V. A. Derkach, M. M. Malamud, È. R. Tsekanovskii, “Sectorial extensions of a positive operator, and the characteristic function”, Dokl. Akad. Nauk SSSR, 298:3 (1988),  537–541  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 106–110 1
46. M. M. Malamud, “An estimate for differential operators in uniform norm, and coercivity in S. L. Sobolev spaces”, Dokl. Akad. Nauk SSSR, 298:1 (1988),  32–36  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 25–29 3
1987
47. V. A. Derkach, M. M. Malamud, “On the Weyl function and Hermite operators with lacunae”, Dokl. Akad. Nauk SSSR, 293:5 (1987),  1041–1046  mathnet  mathscinet  zmath 3
48. M. M. Malamud, “Some analogues of von-Heumann's inequality for $J$-contractions”, Zap. Nauchn. Sem. LOMI, 157 (1987),  165–172  mathnet  zmath
1985
49. M. M. Malamud, “An analog of Nelson's theorem”, Funktsional. Anal. i Prilozhen., 19:2 (1985),  82–83  mathnet  mathscinet  zmath; Funct. Anal. Appl., 19:2 (1985), 150–152  isi
1982
50. M. M. Malamud, “Necessary conditions for the existence of a transformation operator for higher-order equations”, Funktsional. Anal. i Prilozhen., 16:3 (1982),  74–75  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:3 (1982), 219–221  isi 6
1979
51. M. M. Malamud, “Perturbations of a fractional integration operator”, Funktsional. Anal. i Prilozhen., 13:2 (1979),  85–86  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:2 (1979), 145–146 3
1977
52. M. M. Malamud, È. R. Tsekanovskii, “Of Volterra operators in the scale $L_p[0,1]$ $(1\leqslant p\leqslant\infty)$”, Izv. Akad. Nauk SSSR Ser. Mat., 41:4 (1977),  768–793  mathnet  mathscinet  zmath; Math. USSR-Izv., 11:4 (1977), 725–748 2
1976
53. M. M. Malamud, “Disturbances of the differentiation operator in a finite, a semi-infinite, and an infinite interval”, Funktsional. Anal. i Prilozhen., 10:4 (1976),  91–92  mathnet  mathscinet  zmath; Funct. Anal. Appl., 10:4 (1976), 326–327
1975
54. M. M. Malamud, È. R. Tsekanovskii, “Tests for the linear equivalence of Volterra operators in the $L_p$ scale”, Uspekhi Mat. Nauk, 30:5(185) (1975),  217–218  mathnet  mathscinet  zmath 2
2018
55. B. A. Amosov, V. M. Buchstaber, M. M. Malamud, S. P. Novikov, G. V. Rozenblum, T. A. Suslina, L. F. Friedlander, A. A. Shkalikov, “Mikhail Semenovich Agranovich (obituary)”, Uspekhi Mat. Nauk, 73:1(439) (2018),  173–178  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 73:1 (2018), 161–167  isi
2007
56. M. S. Agranovich, A. I. Aptekarev, A. L. Afendikov, N. D. Vvedenskaya, M. I. Vishik, S. G. Gindikin, M. M. Malamud, B. P. Paneah, E. V. Radkevich, V. M. Tikhomirov, A. R. Shirikyan, “Leonid Romanovich Volevich (obituary)”, Uspekhi Mat. Nauk, 62:6(378) (2007),  157–160  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:6 (2007), 1187–1190  isi
2004
57. M. S. Agranovich, A. I. Aptekarev, N. D. Vvedenskaya, M. I. Vishik, S. G. Gindikin, A. M. Il'in, V. P. Maslov, M. M. Malamud, B. P. Paneah, V. M. Tikhomirov, A. R. Shirikyan, “Leonid Romanovich Volevich (on his 70th birthday)”, Uspekhi Mat. Nauk, 59:5(359) (2004),  175–182  mathnet  mathscinet  zmath; Russian Math. Surveys, 59:5 (2004), 991–1000  isi

Presentations in Math-Net.Ru
1. On a formula for characteristic determinant of a boundary value problem for $n \times n$ Dirac type system
M. M. Malamud
Probability Techniques in Analysis and Algorithms on Networks
November 29, 2025 13:05
2. Оценки для дифференциальных операторов в $C(\Omega)$
M. M. Malamud
Seminar on Operator Theory and Function Theory
November 24, 2025 17:30
3. Solution to the Birman problem for Schrodinger operators.
M. M. Malamud

April 11, 2024 17:00
4. To the Grinevich-Novikov problem regarding invariant Schrodiger operators with point interactions
M. M. Malamud, V. V. Marchenko
The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023)
December 5, 2023 17:55   
5. Invariant 3D-Schrödinger operator with point interactions
V. V. Marchenko, M. M. Malamud
The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023)
December 5, 2023 17:30   
6. О критериях слабой коэрцитивности для систем минимальных дифференциальных операторов в анизотропных пространствах Соболева
M. M. Malamud, D. V. Lymanskyi
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 18, 2023 16:40
7. On the spectral theory of 1D Schrödinger and Dirac operators with point interactions and quantum graphs.
M. M. Malamud
Scientific seminar on the differential and functional differential equations
March 14, 2023 12:00
8. К теории Бирмана–Крейна–Вишика. О проблеме Бирмана.
M. M. Malamud

November 8, 2022 15:40
9. Riesz basis property of root vectors system for $n \times n$ Dirac type operators
M. M. Malamud

October 21, 2022 11:00
10. On quantum graphs
M. M. Malamud
Global analysis in modern theory of differential equations
March 18, 2020 14:00

Organisations