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Mishchenko, Aleksandr Sergeevich

Author ID: mishchenko.alexander-s Recent zbMATH articles by "Mishchenko, Aleksandr Sergeevich"
Published as: Mishchenko, A. S.; Mishchenko, Alexander S.; Mishchenko, A.; Mishchenko, Alexandr S.; Mishchenko, Alexandr
Homepage: http://mech.math.msu.su/~asmish/
External Links: MGP · Wikidata · Math-Net.Ru · IdRef
all top 5

Co-Authors

66 single-authored
18 Fomenko, Anatoliĭ Timofeevich
10 Bukhshtaber, Viktor Matveevich
9 Solov’ëv, Yuriĭ Petrovich
6 Li, Xiaoyu
6 Manuĭlov, Vladimir Markovich
5 Novikov, Sergeĭ Petrovich
4 Arutyunov, Andronick Aramovich
4 Kubarski, Jan
4 Pontryagin, Lev Semënovich
3 Dolbilin, Nikolaĭ Petrovich
3 Maslov, Viktor Pavlovich
3 Shatalov, Victor E.
3 Shtan’ko, Mikhail Anatol’evich
3 Shtogrin, Mikhail Ivanovich
3 Sternin, Boris Yur’evich
3 Teleman, Nicolae Sinel
3 Troitskiĭ, Evgeniĭ Vadimovich
3 Zinov’ev, Yuriĭ Mikhaĭlovich
2 Arveson, William Barnes
2 Biktashev, R. A.
2 Borchardt, Matthias
2 Burghelea, Dan
2 Hatzky, Roman
2 Iliadis, Stavros D.
2 Irmatov, Anwar A.
2 Kleiber, Ralf
2 Könies, A.
2 Kozlov, Konstantin L.
2 Mal’tsev, Arkadiĭ Anatol’evich
2 Meléndez, Quitzeh Morales
2 Melrose, Richard Burt
2 Morozova, Elena Aleksandrovna
2 Ponomarev, Vladimir Ivanovich
2 Popelenskii, Fedor Yu.
2 Popov, P. S.
2 Putinar, Mihai
2 Rieffel, Marc A.
2 Strătilă, Şerban Valentin
2 Zarelua, A. V.
1 Astashov, A. M.
1 Astashova, Irina Viktorovna
1 Biancalani, A.
1 Bliznyakov, Nikolay Myhaylovich
1 Bocharov, Alexei V.
1 Bojarski, Bogdan
1 Brasselet, Jean-Paul
1 Brunner, Stephan
1 Cabodi, Gianpiero
1 Camurati, P. E.
1 Carey, Alan L.
1 Chernavskiĭ, Alekseĭ Viktorovich
1 Chetverikov, Vladimir N.
1 Crabb, Michael C.
1 Fedorchuk, V. V.
1 Fedorchuk, Vitaly Vitalievich
1 Filippov, Oleg G.
1 Frank, Michael
1 Fuchs, Dmitry Borisovich
1 García-Regaña, J. M.
1 Gel’fand, Israil’ Moiseevich
1 Gliklikh, Yuriĭ Evgen’evich
1 Griffiths, Phillip Augustus
1 Hayward-Schneider, T.
1 Helemskii, Alexander Ya.
1 Holsztyński, Włodzimierz
1 Ivanov, Aleksandr Olegovich
1 Kac, Victor
1 Khor’kova, Nina Grigor’evna
1 Kosmann-Schwarzbach, Yvette
1 Krasil’shchik, Iosif Semënovich
1 Krichever, Igor’ Moiseevich
1 Krishchenko, Alexander P.
1 Lando, Sergei K.
1 Lanti, E.
1 Legrand, André
1 Leyh, Henry
1 Longo, Roberto
1 Luke, Glenys
1 Lychagin, Valentin V.
1 Marvan, Michal
1 Mathai, Varghese
1 Mishchenko, Evgeniĭ Frolovich
1 Mohammad, Noor
1 Morales Meléndez, Q.
1 Morgan, John W.
1 Nazaikinskii, Vladimir E.
1 Nguyen, Leanh
1 Nistor, Victor
1 Obukhovskiĭ, Valeriĭ Vladimirovich
1 Ohana, N.
1 Palena, Marco
1 Pasini, Paolo
1 Pavlov, Alexander A.
1 Pidstrigach, Viktor Yaroslavovich
1 Riemann, Jörg
1 Rubtsov, Vladimir Nikolaevich
1 Samokhin, Alexey V.
1 Sapronov, Yuriĭ Ivanovich
1 Schulze, Bert-Wolfgang
1 Schwarz, Albert S.
...and 22 more Co-Authors
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Serials

9 Mathematics of the USSR. Izvestiya
9 Soviet Mathematics. Doklady
8 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
8 Russian Journal of Mathematical Physics
7 Mathematical Notes
7 Russian Mathematical Surveys
6 Moscow University Mathematics Bulletin
5 Uspekhi Matematicheskikh Nauk [N. S.]
5 Functional Analysis and its Applications
5 Topology and its Applications
5 Trudy Seminara po Vektornomu i Tenzornomu Analizu
4 Mathematics of the USSR, Sbornik
4 Sbornik: Mathematics
3 Matematicheskie Zametki
3 Journal of Mathematical Sciences (New York)
3 Doklady Mathematics
3 Trends in Mathematics
2 Computer Physics Communications
2 Theory of Probability and its Applications
2 Fundamenta Mathematicae
2 Matematicheskiĭ Sbornik. Novaya Seriya
2 Selecta Mathematica Sovietica
2 Acta Applicandae Mathematicae
2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
2 Central European Journal of Mathematics
2 Pitman Research Notes in Mathematics Series
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of \(K\)-Theory
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Journal of Functional Analysis
1 Journal of Soviet Mathematics
1 Formal Methods in System Design
1 Topological Methods in Nonlinear Analysis
1 St. Petersburg Mathematical Journal
1 Georgian Mathematical Journal
1 Izvestiya: Mathematics
1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques
1 Mathematics and its Applications (Dordrecht)
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
1 Trudy Tallinskogo Politekhnicheskogo Instituta. Trudy Ehkonomicheskogo Fakul’teta XL
1 Journal of Fixed Point Theory and Applications
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Fields

54 Manifolds and cell complexes (57-XX)
42 Global analysis, analysis on manifolds (58-XX)
40 Algebraic topology (55-XX)
30 Differential geometry (53-XX)
28 Functional analysis (46-XX)
16 Partial differential equations (35-XX)
16 Dynamical systems and ergodic theory (37-XX)
16 Operator theory (47-XX)
12 Topological groups, Lie groups (22-XX)
11 \(K\)-theory (19-XX)
10 General and overarching topics; collections (00-XX)
10 History and biography (01-XX)
9 Category theory; homological algebra (18-XX)
8 Group theory and generalizations (20-XX)
8 Mechanics of particles and systems (70-XX)
7 Nonassociative rings and algebras (17-XX)
6 General topology (54-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Associative rings and algebras (16-XX)
5 Probability theory and stochastic processes (60-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
2 Number theory (11-XX)
2 Algebraic geometry (14-XX)
2 Optics, electromagnetic theory (78-XX)
1 Commutative algebra (13-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 676 times in 543 Documents Cited by Year
Generalized Liouville method of integration of Hamiltonian systems. Zbl 0405.58028
Mishchenko, A. S.; Fomenko, A. T.
74
1978
Euler equations on finite-dimensional Lie groups. Zbl 0383.58006
Mishchenko, A. S.; Fomenko, A. T.
58
1978
Euler equations on finite-dimensional Lie groups. Zbl 0405.58031
Mishchenko, A. S.; Fomenko, A. T.
57
1978
The index of elliptic operators over \(C^*\)-algebras. Zbl 0416.46052
Mishchenko, A. S.; Fomenko, A. T.
52
1979
A course in differential geometry and topology. Textbook. (Kurs differentsial’noj geometrii i topologii. Uchebnik). Zbl 0524.53001
Mishchenko, A. S.; Fomenko, A. T.
31
1980
The index of elliptic operators over \(C^*\)-algebras. Zbl 0448.46039
Mishchenko, A. S.; Fomenko, A. T.
26
1980
A generalized Liouville method for the integration of Hamiltonian systems. (Eine verallgemeinerte Liouvillesche Methode zur Integration Hamiltonscher Systeme.) Zbl 0396.58003
Mishchenko, A. S.; Fomenko, A. T.
20
1978
Lagrangian manifolds and the Maslov operator. Transl. from the Russian by Dana Mackenzie. Zbl 0727.58001
Mishchenko, A. S.; Shatalov, V. E.; Sternin, B. Yu.
19
1990
Vector bundles and their applications. Zbl 0907.55002
Luke, Glenys; Mishchenko, Alexander S.
19
1998
The integrability of the Euler equations on semi-simple Lie algebras. Zbl 0452.58015
Mishchenko, A. S.; Fomenko, A. T.
17
1979
Vector bundles and their applications. (Vektornye rassloeniya i ikh primeneniya). Zbl 0569.55001
Mishchenko, A. S.
16
1984
Integral geodesics of a flow on Lie groups. Zbl 0241.22022
Mishchenko, A. S.
15
1970
A smooth version of Johnson’s problem on derivations of group algebras. Zbl 1439.16041
Arutyunov, A. A.; Mishchenko, A. S.
15
2019
Finally compact spaces. Zbl 0121.17501
Mishchenko, A.
12
1962
Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space. Zbl 0437.58007
Mishchenko, A. S.; Sternin, B. Yu.; Shatalov, V. E.
12
1980
Spaces with point-countable base. Zbl 0122.17304
Mishchenko, A. S.
11
1962
On the integration of the Euler equations on semisimple Lie algebras. Zbl 0392.58001
Mishchenko, A. S.; Fomenko, A. T.
11
1976
Almost, asymptotic and Fredholm representations of discrete groups. Zbl 1012.46061
Manuilov, V. M.; Mishchenko, A. S.
10
2001
Integrability of Euler equations on semisimple Lie algebras. Zbl 0517.58024
Mishchenko, A. S.; Fomenko, A. T.
10
1982
Orthogonality-preserving, \(C^{*}\)-conformal and conformal module mappings on Hilbert \(C^{*}\)-modules. Zbl 1213.46051
Frank, Michael; Mishchenko, Alexander S.; Pavlov, Alexander A.
9
2011
The integration of Hamiltonian systems with non-commutative symmetries. Zbl 0473.58015
Mishchenko, A. S.; Fomenko, A. T.
9
1981
Formal groups and their role in the apparatus of algebraic topology. Zbl 0224.57006
Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P.
8
1971
Formal groups and their role in the apparatus of algebraic topology. Zbl 0226.55007
Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P.
8
1972
Homotopy invariants of nonsimply connected manifolds. I: Rational invariants. Zbl 0232.55015
Mishchenko, A. S.
7
1971
Unendlichdimensionale Darstellungen diskreter Gruppen und höhere Signaturen. Zbl 0292.57017
Mishchenko, A. S.
7
1974
Infinite-dimensional representations of discrete groups, and higher signatures. Zbl 0299.57010
Mishchenko, A. S.
7
1975
The two-dimensional Ising model and the Kac-Ward determinant. Zbl 0990.82003
Dolbilin, N. P.; Zinov’ev, Yu. M.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.
7
1999
Derivations of group algebras. Zbl 1460.46064
Arutyunov, A. A.; Mishchenko, A. S.; Shtern, A. I.
6
2020
K-theory on the category of finite cell complexes. Zbl 0182.25803
Bukhshtaber, V. M.; Mishchenko, A. S.
6
1969
Asymptotic representation of discrete groups. Zbl 0909.22008
Mishchenko, Alexander S.; Mohammad, Noor
6
1998
Transitive Lie algebroids. Categorical point of view. Zbl 1387.53108
Mishchenko, A. S.; Li, Xiaoyu
5
2017
Mackenzie obstruction for the existence of a transitive Lie algebroid. Zbl 1346.53067
Li, Xiaoyu; Mishchenko, A. S.; Gasimov, V.
5
2014
Classification of couplings for transitive Lie algebroids. Zbl 1395.53092
Li, Xiaoyu; Mishchenko, A. S.
5
2015
Asymptotic and Fredholm representations of discrete groups. Zbl 0932.46067
Manuilov, V. M.; Mishchenko, A. S.
5
1998
Homological properties of dimer configurations for lattices on surfaces. Zbl 0879.60115
Dolbilin, N. P.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.; Zinoviev, Yu. M.
4
1996
Correlation between the Hochschild cohomology and the Eilenberg-Mac Lane cohomology of group algebras from a geometric point of view. Zbl 1487.16012
Mishchenko, A. S.
4
2020
Representations of compact groups in Hilbert modules over \(C^*\)- algebras. Zbl 0562.46038
Mishchenko, A. S.
4
1984
Quadratic forms over commutative group rings and the K-theory. Zbl 0239.55004
Gel’fand, I. M.; Mishchenko, A. S.
4
1969
Homotopieinvarianten nicht-einfach zusammenhängender Mannigfaltigkeiten. III: Höhere Signaturen. Zbl 0248.57014
Mishchenko, A. S.
4
1971
Hermitian K-theory. The theory of characteristic classes and methods of functional analysis. Zbl 0427.55001
Mishchenko, A. S.
4
1976
Banachalgebren, Pseudodifferentialoperatoren und ihre Anwendungen auf die K-Theorie. Zbl 0432.46050
Mishchenko, A. S.
4
1979
Lie algebroids: spectral sequences and signature. Zbl 1074.58008
Kubarski, J.; Mishchenko, A. S.
3
2003
Homotopieinvarianten nicht einfach zusammenhängender Mannigfaltigkeiten. I: Rationale Invarianten. Zbl 0216.19701
Mishchenko, A. S.
3
1970
Spectral sequences of Adams type. Zbl 0171.21802
Mishchenko, A. S.
3
1967
Reduction of PDO calculus on a noncompact manifold to a double-dimensional compact manifold. Zbl 1292.35347
Arutyunov, A. A.; Mishchenko, A. S.
3
2013
Quasi-classical asymptotics of quasi-particles. Zbl 0920.58048
Maslov, V. P.; Mishchenko, A. S.
3
1998
Reduction of the calculus of pseudodifferential operators on a noncompact manifold to the calculus on a compact manifold of doubled dimension. Zbl 1290.35357
Arutyunov, A. A.; Mishchenko, A. S.
3
2013
On infinite-dimensional representations of fundamental groups and formulas of Hirzebruch type. Zbl 0376.57017
Mishchenko, A. S.; Solov’ev, Yu. P.
3
1977
Banach algebras, pseudodifferential operators, and their application to K-theory. Zbl 0446.46040
Mishchenko, A. S.
3
1979
On compact and Fredholm operators over C\(^*\)-algebras and a new topology in the space of compact operators. Zbl 1163.47032
Irmatov, Anwar A.; Mishchenko, Alexandr S.
3
2008
Geometric description of the Hochschild cohomology of group algebras. Zbl 1489.16011
Mishchenko, Alexander S.
3
2021
Description of outer derivations of the group algebras. Zbl 1490.16057
Mishchenko, Alexander S.
2
2020
Pullback scheme implementation in ORB5. Zbl 07683967
Mishchenko, A.; Bottino, A.; Biancalani, A.; Hatzky, R.; Hayward-Schneider, T.; Ohana, N.; Lanti, E.; Brunner, S.; Villard, L.; Borchardt, M.; Kleiber, R.; Könies, A.
2
2019
The existence and classification of couplings between Lie algebra bundles and tangent bundles. Zbl 1341.55005
Li, Xiaoyu; Mishchenko, A. S.
2
2016
Geometry of a Lagrangian manifold in thermodynamics. (Principle of minimizing the thermodynamical potential and thermodynamical inequalities. Analysis of the Gibbs method of geometric picture of thermodynamics). Zbl 1039.53089
Maslov, V. P.; Mishchenko, A. S.
2
2003
On Fredholm representations of discrete groups. Zbl 0318.57050
Mishchenko, A. S.
2
1975
Einige Sätze über das Produkt topologischer Räume. Zbl 0168.20202
Mishchenko, A. S.
2
1966
Elements of infinite filtration in K-theory. Zbl 0177.51602
Bukhshtaber, V. M.; Mishchenko, A. S.
2
1968
The theory of elliptic operators over \(^*C\)-algebras. Zbl 0402.58008
Mishchenko, A. S.
2
1978
On spectra of elliptic unbounded pseudo-differential operators over C*- algebras. Zbl 0439.47041
Biktashev, R. A.; Mishchenko, A. S.
2
1980
C*-algebras and K-theory. Zbl 0444.57014
Mishchenko, A. S.
2
1979
A classifying space for Hermitian \(K\)-theory. Zbl 0449.57008
Mishchenko, A. S.; Solov’ev, Yu. P.
2
1978
Almost flat bundles and almost flat structures. Zbl 1093.19005
Mishchenko, Alexander S.; Teleman, Nicolae
2
2005
Nondegenerate cohomology pairing for transitive Lie algebroids, characterization. Zbl 1116.58017
Kubarski, Jan; Mishchenko, Alexandr
2
2004
Integration of geodesic flows on symmetric spaces. Zbl 0502.58020
Mishchenko, A. S.
2
1982
Derivations of group algebras and Hochschild cohomology. Zbl 1507.16013
Mishchenko, A. S.
2
2021
Controlled Fredholm representations. Zbl 0957.58021
Mishchenko, Alexander S.
1
1995
Comparison of categorical characteristic classes of a transitive Lie algebroid with the Chern-Weil homomorphism. Zbl 1383.53059
Li, Xiaoyu; Mishchenko, A. S.
1
2015
Infinitesimal Fredholm structures on infinite-dimensional manifolds. Zbl 0797.58011
Irmatov, A. A.; Mishchenko, A. S.
1
1992
The Kac-Ward determinant. Zbl 0990.82001
Dolbilin, N. P.; Zinov’ev, Yu. M.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1999
Theory of almost algebraic Poincaré complexes and local combinatorial Hirzebruch formula. Zbl 1001.46048
Mishchenko, A. S.
1
2001
Dimension of groups with a left-invariant topology. Zbl 0196.55404
Mishchenko, A.
1
1964
Manifolds with the action of the group \(Z_ p\) and fixed points. Zbl 0174.26303
Mishchenko, A. S.
1
1969
Reducing elliptic operators with almost periodic coefficients to operators on compact manifolds. Zbl 0703.35188
Mishchenko, A. S.; Filippov, O. G.
1
1989
Selected problems in differential geometry and topology. Transl. from the Russian. Zbl 1282.53001
Fomenko, A. T.; Mishchenko, A. S.; Solovyev, Yu. P.
1
2013
Critical analysis of amino acids and polypeptides geometry. Zbl 1335.92070
Ivanov, Alexander O.; Mishchenko, Alexander S.; Tuzhilin, Alexey A.
1
2015
On construction of signature of quadratic forms on infinite-dimensional abstract spaces. Zbl 1030.55001
Mishchenko, A. S.; Popov, P. S.
1
2002
A discrete Bessel process and its properties. Zbl 1116.60045
Mishchenko, A. S.
1
2006
A short course in differential geometry and topology. Zbl 1160.53002
Fomenko, A. T.; Mishchenko, A. S.
1
2009
The spectra of unbounded elliptic pseudodifferential operators over C*- algebras. Zbl 0464.47034
Biktashev, R. A.; Mishchenko, A. S.
1
1980
Foreword. Zbl 1181.22001
Manuilov, V. M.; Mishchenko, A. S.
1
2009
Maslov index on symplectic manifolds. With supplement by A. T. Fomenko “Constructing the generalized Maslov class for the total space \(W=\mathbb{T}^*(M)\) of the cotangent bundle”. Zbl 1512.53078
Mishchenko, A. S.
1
2022
Maslov index on symplectic manifolds. With supplement by A. T. Fomenko “Constructing the generalized Maslov class for the total space \(W=\mathbb{T}^*(M)\) of the cotangent bundle”. Zbl 1512.53078
Mishchenko, A. S.
1
2022
Geometric description of the Hochschild cohomology of group algebras. Zbl 1489.16011
Mishchenko, Alexander S.
3
2021
Derivations of group algebras and Hochschild cohomology. Zbl 1507.16013
Mishchenko, A. S.
2
2021
Derivations of group algebras. Zbl 1460.46064
Arutyunov, A. A.; Mishchenko, A. S.; Shtern, A. I.
6
2020
Correlation between the Hochschild cohomology and the Eilenberg-Mac Lane cohomology of group algebras from a geometric point of view. Zbl 1487.16012
Mishchenko, A. S.
4
2020
Description of outer derivations of the group algebras. Zbl 1490.16057
Mishchenko, Alexander S.
2
2020
A smooth version of Johnson’s problem on derivations of group algebras. Zbl 1439.16041
Arutyunov, A. A.; Mishchenko, A. S.
15
2019
Pullback scheme implementation in ORB5. Zbl 07683967
Mishchenko, A.; Bottino, A.; Biancalani, A.; Hatzky, R.; Hayward-Schneider, T.; Ohana, N.; Lanti, E.; Brunner, S.; Villard, L.; Borchardt, M.; Kleiber, R.; Könies, A.
2
2019
Transitive Lie algebroids. Categorical point of view. Zbl 1387.53108
Mishchenko, A. S.; Li, Xiaoyu
5
2017
The existence and classification of couplings between Lie algebra bundles and tangent bundles. Zbl 1341.55005
Li, Xiaoyu; Mishchenko, A. S.
2
2016
Classification of couplings for transitive Lie algebroids. Zbl 1395.53092
Li, Xiaoyu; Mishchenko, A. S.
5
2015
Comparison of categorical characteristic classes of a transitive Lie algebroid with the Chern-Weil homomorphism. Zbl 1383.53059
Li, Xiaoyu; Mishchenko, A. S.
1
2015
Critical analysis of amino acids and polypeptides geometry. Zbl 1335.92070
Ivanov, Alexander O.; Mishchenko, Alexander S.; Tuzhilin, Alexey A.
1
2015
Mackenzie obstruction for the existence of a transitive Lie algebroid. Zbl 1346.53067
Li, Xiaoyu; Mishchenko, A. S.; Gasimov, V.
5
2014
Reduction of PDO calculus on a noncompact manifold to a double-dimensional compact manifold. Zbl 1292.35347
Arutyunov, A. A.; Mishchenko, A. S.
3
2013
Reduction of the calculus of pseudodifferential operators on a noncompact manifold to the calculus on a compact manifold of doubled dimension. Zbl 1290.35357
Arutyunov, A. A.; Mishchenko, A. S.
3
2013
Selected problems in differential geometry and topology. Transl. from the Russian. Zbl 1282.53001
Fomenko, A. T.; Mishchenko, A. S.; Solovyev, Yu. P.
1
2013
Orthogonality-preserving, \(C^{*}\)-conformal and conformal module mappings on Hilbert \(C^{*}\)-modules. Zbl 1213.46051
Frank, Michael; Mishchenko, Alexander S.; Pavlov, Alexander A.
9
2011
A short course in differential geometry and topology. Zbl 1160.53002
Fomenko, A. T.; Mishchenko, A. S.
1
2009
Foreword. Zbl 1181.22001
Manuilov, V. M.; Mishchenko, A. S.
1
2009
On compact and Fredholm operators over C\(^*\)-algebras and a new topology in the space of compact operators. Zbl 1163.47032
Irmatov, Anwar A.; Mishchenko, Alexandr S.
3
2008
A discrete Bessel process and its properties. Zbl 1116.60045
Mishchenko, A. S.
1
2006
Almost flat bundles and almost flat structures. Zbl 1093.19005
Mishchenko, Alexander S.; Teleman, Nicolae
2
2005
Nondegenerate cohomology pairing for transitive Lie algebroids, characterization. Zbl 1116.58017
Kubarski, Jan; Mishchenko, Alexandr
2
2004
Lie algebroids: spectral sequences and signature. Zbl 1074.58008
Kubarski, J.; Mishchenko, A. S.
3
2003
Geometry of a Lagrangian manifold in thermodynamics. (Principle of minimizing the thermodynamical potential and thermodynamical inequalities. Analysis of the Gibbs method of geometric picture of thermodynamics). Zbl 1039.53089
Maslov, V. P.; Mishchenko, A. S.
2
2003
On construction of signature of quadratic forms on infinite-dimensional abstract spaces. Zbl 1030.55001
Mishchenko, A. S.; Popov, P. S.
1
2002
Almost, asymptotic and Fredholm representations of discrete groups. Zbl 1012.46061
Manuilov, V. M.; Mishchenko, A. S.
10
2001
Theory of almost algebraic Poincaré complexes and local combinatorial Hirzebruch formula. Zbl 1001.46048
Mishchenko, A. S.
1
2001
The two-dimensional Ising model and the Kac-Ward determinant. Zbl 0990.82003
Dolbilin, N. P.; Zinov’ev, Yu. M.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.
7
1999
The Kac-Ward determinant. Zbl 0990.82001
Dolbilin, N. P.; Zinov’ev, Yu. M.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1999
Vector bundles and their applications. Zbl 0907.55002
Luke, Glenys; Mishchenko, Alexander S.
19
1998
Asymptotic representation of discrete groups. Zbl 0909.22008
Mishchenko, Alexander S.; Mohammad, Noor
6
1998
Asymptotic and Fredholm representations of discrete groups. Zbl 0932.46067
Manuilov, V. M.; Mishchenko, A. S.
5
1998
Quasi-classical asymptotics of quasi-particles. Zbl 0920.58048
Maslov, V. P.; Mishchenko, A. S.
3
1998
Homological properties of dimer configurations for lattices on surfaces. Zbl 0879.60115
Dolbilin, N. P.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.; Zinoviev, Yu. M.
4
1996
Controlled Fredholm representations. Zbl 0957.58021
Mishchenko, Alexander S.
1
1995
Infinitesimal Fredholm structures on infinite-dimensional manifolds. Zbl 0797.58011
Irmatov, A. A.; Mishchenko, A. S.
1
1992
Lagrangian manifolds and the Maslov operator. Transl. from the Russian by Dana Mackenzie. Zbl 0727.58001
Mishchenko, A. S.; Shatalov, V. E.; Sternin, B. Yu.
19
1990
Reducing elliptic operators with almost periodic coefficients to operators on compact manifolds. Zbl 0703.35188
Mishchenko, A. S.; Filippov, O. G.
1
1989
Vector bundles and their applications. (Vektornye rassloeniya i ikh primeneniya). Zbl 0569.55001
Mishchenko, A. S.
16
1984
Representations of compact groups in Hilbert modules over \(C^*\)- algebras. Zbl 0562.46038
Mishchenko, A. S.
4
1984
Integrability of Euler equations on semisimple Lie algebras. Zbl 0517.58024
Mishchenko, A. S.; Fomenko, A. T.
10
1982
Integration of geodesic flows on symmetric spaces. Zbl 0502.58020
Mishchenko, A. S.
2
1982
The integration of Hamiltonian systems with non-commutative symmetries. Zbl 0473.58015
Mishchenko, A. S.; Fomenko, A. T.
9
1981
A course in differential geometry and topology. Textbook. (Kurs differentsial’noj geometrii i topologii. Uchebnik). Zbl 0524.53001
Mishchenko, A. S.; Fomenko, A. T.
31
1980
The index of elliptic operators over \(C^*\)-algebras. Zbl 0448.46039
Mishchenko, A. S.; Fomenko, A. T.
26
1980
Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space. Zbl 0437.58007
Mishchenko, A. S.; Sternin, B. Yu.; Shatalov, V. E.
12
1980
On spectra of elliptic unbounded pseudo-differential operators over C*- algebras. Zbl 0439.47041
Biktashev, R. A.; Mishchenko, A. S.
2
1980
The spectra of unbounded elliptic pseudodifferential operators over C*- algebras. Zbl 0464.47034
Biktashev, R. A.; Mishchenko, A. S.
1
1980
The index of elliptic operators over \(C^*\)-algebras. Zbl 0416.46052
Mishchenko, A. S.; Fomenko, A. T.
52
1979
The integrability of the Euler equations on semi-simple Lie algebras. Zbl 0452.58015
Mishchenko, A. S.; Fomenko, A. T.
17
1979
Banachalgebren, Pseudodifferentialoperatoren und ihre Anwendungen auf die K-Theorie. Zbl 0432.46050
Mishchenko, A. S.
4
1979
Banach algebras, pseudodifferential operators, and their application to K-theory. Zbl 0446.46040
Mishchenko, A. S.
3
1979
C*-algebras and K-theory. Zbl 0444.57014
Mishchenko, A. S.
2
1979
Generalized Liouville method of integration of Hamiltonian systems. Zbl 0405.58028
Mishchenko, A. S.; Fomenko, A. T.
74
1978
Euler equations on finite-dimensional Lie groups. Zbl 0383.58006
Mishchenko, A. S.; Fomenko, A. T.
58
1978
Euler equations on finite-dimensional Lie groups. Zbl 0405.58031
Mishchenko, A. S.; Fomenko, A. T.
57
1978
A generalized Liouville method for the integration of Hamiltonian systems. (Eine verallgemeinerte Liouvillesche Methode zur Integration Hamiltonscher Systeme.) Zbl 0396.58003
Mishchenko, A. S.; Fomenko, A. T.
20
1978
The theory of elliptic operators over \(^*C\)-algebras. Zbl 0402.58008
Mishchenko, A. S.
2
1978
A classifying space for Hermitian \(K\)-theory. Zbl 0449.57008
Mishchenko, A. S.; Solov’ev, Yu. P.
2
1978
On infinite-dimensional representations of fundamental groups and formulas of Hirzebruch type. Zbl 0376.57017
Mishchenko, A. S.; Solov’ev, Yu. P.
3
1977
On the integration of the Euler equations on semisimple Lie algebras. Zbl 0392.58001
Mishchenko, A. S.; Fomenko, A. T.
11
1976
Hermitian K-theory. The theory of characteristic classes and methods of functional analysis. Zbl 0427.55001
Mishchenko, A. S.
4
1976
Infinite-dimensional representations of discrete groups, and higher signatures. Zbl 0299.57010
Mishchenko, A. S.
7
1975
On Fredholm representations of discrete groups. Zbl 0318.57050
Mishchenko, A. S.
2
1975
Unendlichdimensionale Darstellungen diskreter Gruppen und höhere Signaturen. Zbl 0292.57017
Mishchenko, A. S.
7
1974
Formal groups and their role in the apparatus of algebraic topology. Zbl 0226.55007
Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P.
8
1972
Formal groups and their role in the apparatus of algebraic topology. Zbl 0224.57006
Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P.
8
1971
Homotopy invariants of nonsimply connected manifolds. I: Rational invariants. Zbl 0232.55015
Mishchenko, A. S.
7
1971
Homotopieinvarianten nicht-einfach zusammenhängender Mannigfaltigkeiten. III: Höhere Signaturen. Zbl 0248.57014
Mishchenko, A. S.
4
1971
Integral geodesics of a flow on Lie groups. Zbl 0241.22022
Mishchenko, A. S.
15
1970
Homotopieinvarianten nicht einfach zusammenhängender Mannigfaltigkeiten. I: Rationale Invarianten. Zbl 0216.19701
Mishchenko, A. S.
3
1970
K-theory on the category of finite cell complexes. Zbl 0182.25803
Bukhshtaber, V. M.; Mishchenko, A. S.
6
1969
Quadratic forms over commutative group rings and the K-theory. Zbl 0239.55004
Gel’fand, I. M.; Mishchenko, A. S.
4
1969
Manifolds with the action of the group \(Z_ p\) and fixed points. Zbl 0174.26303
Mishchenko, A. S.
1
1969
Elements of infinite filtration in K-theory. Zbl 0177.51602
Bukhshtaber, V. M.; Mishchenko, A. S.
2
1968
Spectral sequences of Adams type. Zbl 0171.21802
Mishchenko, A. S.
3
1967
Einige Sätze über das Produkt topologischer Räume. Zbl 0168.20202
Mishchenko, A. S.
2
1966
Dimension of groups with a left-invariant topology. Zbl 0196.55404
Mishchenko, A.
1
1964
Finally compact spaces. Zbl 0121.17501
Mishchenko, A.
12
1962
Spaces with point-countable base. Zbl 0122.17304
Mishchenko, A. S.
11
1962
all top 5

Cited by 548 Authors

16 Mishchenko, Aleksandr Sergeevich
13 Arutyunov, Andronick Aramovich
11 Bolsinov, Alexey V.
9 Futorny, Vyacheslav M.
9 Manuĭlov, Vladimir Markovich
9 Maslov, Viktor Pavlovich
9 Troitskiĭ, Evgeniĭ Vadimovich
8 Ratiu, Tudor Stefan
8 Rybnikov, Leonid Grigor’evich
8 Tempesta, Piergiulio
8 Yakimova, Oksana S.
7 Bukhshtaber, Viktor Matveevich
7 Ivković, Stefan G.
6 Bloch, Anthony Michael
6 Jovanović, Božidar Žarko
6 Karasev, Roman N.
6 Núñez Jiménez, Carmen
6 Savin, Anton Yur’evich
6 Sternin, Boris Yur’evich
5 Fassò, Francesco
5 Konyaev, Andreĭ Yu.
5 Krýsl, Svatopluk
5 Nazaikinskii, Vladimir E.
5 Panyushev, Dmitri Ivanovich
5 Ramirez, Luis Enrique
4 Fatalov, Vadim Rolandovich
4 Fomenko, Anatoliĭ Timofeevich
4 Grillo, Sergio Daniel
4 Johnson, Russell Allan
4 Karasev, Mikhail Vladimirovich
4 Li, Xiaoyu
4 Lott, John
4 Marsden, Jerrold Eldon
4 Novo, Sylvia
4 Obaya, Rafael
4 Rosenberg, Jonathan Micah
4 Sardanashvily, Gennadi A.
4 Shirokov, Igor’ Viktorovich
4 Veselov, Alexander Petrovich
3 Banaru, Mikhail Borisovich
3 Bunkova, Elena Yur’evna
3 Caşu, Ioan
3 Crooks, Peter
3 Dobrokhotov, Sergei Yurievich
3 Dubrovin, Boris Anatol’evich
3 Fairon, Maxime
3 Fedorov, Yuri N.
3 Fehér, László Gy.
3 Feĭgin, Boris L’vovich
3 Iliev, Bozhidar Zakhariev
3 Izosimov, Anton
3 Kozlov, Valeriĭ Vasil’evich
3 Lis, Marcin
3 Mallios, Anastasios
3 Mathai, Varghese
3 Molev, Alexander I.
3 Pavlov, Alexander A.
3 Schrohe, Elmar
3 Tarama, Daisuke
3 Weiss, Michael S.
3 Yu, Guoliang
3 Zamani, Ali
3 Zhang, Jian
2 Adams, Malcolm R.
2 Akbarzadeh, Rasoul
2 Alekseev, Aleksandr Vladimirovich
2 Antonini, Paolo
2 Asadi, Mohammad B.
2 Bambusi, Dario
2 Bates, Larry M.
2 Birtea, Petre
2 Burke, Dennis K.
2 Buzyakova, Raushan Z.
2 Cecchini, Simone
2 Cimasoni, David
2 Cipriani, Fabio
2 Connes, Alain
2 Dadarlat, Marius
2 De Micheli, Enrico
2 De Nittis, Giuseppe
2 Deeley, Robin J.
2 Derkach, M. M.
2 Dinar, Yassir Ibrahim
2 Dobrogowska, Alina
2 Dragović, Vladimir
2 Dubnov, Vladimir L.
2 Dullin, Holger R.
2 Evripidou, Charalampos A.
2 Fabbri, Roberta
2 Fiorani, Emanuele
2 Fonda, Alessandro
2 Frank, Michael
2 Frenkel, Edward V.
2 Fusè, Alessandra
2 Gajić, Borislav
2 Garazha, Aleksandra A.
2 Goffeng, Magnus
2 Gomi, Kiyonori
2 Grantcharov, Dimitar
2 Halacheva, Iva
...and 448 more Authors
all top 5

Cited in 154 Serials

24 Journal of Mathematical Sciences (New York)
21 Topology and its Applications
20 Communications in Mathematical Physics
19 Mathematical Notes
19 Journal of Soviet Mathematics
18 Russian Journal of Mathematical Physics
17 Journal of Geometry and Physics
16 Journal of Mathematical Physics
15 Regular and Chaotic Dynamics
13 Advances in Mathematics
12 Functional Analysis and its Applications
11 Letters in Mathematical Physics
10 Theoretical and Mathematical Physics
10 Annals of Global Analysis and Geometry
9 Moscow University Mathematics Bulletin
8 Journal of Functional Analysis
7 Russian Physics Journal
6 Journal of Mathematical Analysis and Applications
6 Journal of Algebra
6 Mathematische Zeitschrift
6 Proceedings of the American Mathematical Society
6 Transactions of the American Mathematical Society
6 International Journal of Geometric Methods in Modern Physics
6 Journal of Noncommutative Geometry
5 Acta Applicandae Mathematicae
5 Russian Mathematics
5 Doklady Mathematics
5 Journal of Physics A: Mathematical and Theoretical
4 Russian Mathematical Surveys
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Mathematische Annalen
4 Physica D
4 Discrete & Computational Geometry
4 Differential Geometry and its Applications
4 Geometric and Functional Analysis. GAFA
4 Annales Henri Poincaré
4 Differential Equations
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Journal of Topology and Analysis
3 Annales de l’Institut Fourier
3 Duke Mathematical Journal
3 Journal of Pure and Applied Algebra
3 Aequationes Mathematicae
3 Automation and Remote Control
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Dynamics and Differential Equations
3 Sbornik: Mathematics
3 Transformation Groups
3 Proceedings of the Japan Academy
3 Proceedings of the Steklov Institute of Mathematics
2 Modern Physics Letters A
2 Archive for Rational Mechanics and Analysis
2 Israel Journal of Mathematics
2 Linear and Multilinear Algebra
2 Nonlinearity
2 Bulletin de la Société Mathématique de France
2 Compositio Mathematica
2 Geometriae Dedicata
2 Publications Mathématiques
2 Journal of Differential Equations
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Siberian Mathematical Journal
2 Transactions of the Moscow Mathematical Society
2 Ergodic Theory and Dynamical Systems
2 Probability Theory and Related Fields
2 \(K\)-Theory
2 International Journal of Algebra and Computation
2 Annals of Physics
2 Linear Algebra and its Applications
2 Finite Fields and their Applications
2 Bulletin des Sciences Mathématiques
2 Discrete and Continuous Dynamical Systems
2 Documenta Mathematica
2 Abstract and Applied Analysis
2 Journal of High Energy Physics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Central European Journal of Mathematics
2 Chebyshevskiĭ Sbornik
2 Banach Journal of Mathematical Analysis
2 Annals of Functional Analysis
2 Eurasian Mathematical Journal
2 Analysis and Mathematical Physics
2 Annals of \(K\)-Theory
2 Vestnik Rossiĭskikh Universitetov. Matematika
1 International Journal of Theoretical Physics
1 Journal of Applied Mathematics and Mechanics
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Reports on Mathematical Physics
1 Ukrainian Mathematical Journal
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Arkiv för Matematik
1 Theory of Probability and its Applications
1 Acta Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
...and 54 more Serials
all top 5

Cited in 56 Fields

132 Dynamical systems and ergodic theory (37-XX)
108 Differential geometry (53-XX)
93 Global analysis, analysis on manifolds (58-XX)
91 Mechanics of particles and systems (70-XX)
90 Functional analysis (46-XX)
84 Nonassociative rings and algebras (17-XX)
44 \(K\)-theory (19-XX)
41 Algebraic topology (55-XX)
38 Associative rings and algebras (16-XX)
37 Quantum theory (81-XX)
35 Manifolds and cell complexes (57-XX)
34 Operator theory (47-XX)
33 Algebraic geometry (14-XX)
28 Topological groups, Lie groups (22-XX)
28 Partial differential equations (35-XX)
28 Statistical mechanics, structure of matter (82-XX)
26 General topology (54-XX)
20 Group theory and generalizations (20-XX)
17 Ordinary differential equations (34-XX)
16 Category theory; homological algebra (18-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
9 Commutative algebra (13-XX)
8 Probability theory and stochastic processes (60-XX)
7 Combinatorics (05-XX)
7 Number theory (11-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Information and communication theory, circuits (94-XX)
6 Mathematical logic and foundations (03-XX)
6 Convex and discrete geometry (52-XX)
6 Fluid mechanics (76-XX)
5 Difference and functional equations (39-XX)
5 Optics, electromagnetic theory (78-XX)
5 Relativity and gravitational theory (83-XX)
5 Systems theory; control (93-XX)
4 Abstract harmonic analysis (43-XX)
4 Mechanics of deformable solids (74-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geometry (51-XX)
3 Statistics (62-XX)
2 History and biography (01-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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