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Encyclopaedia of Mathematical Sciences

Short Title: Encycl. Math. Sci.
Publisher: Springer, Berlin
ISSN: 0938-0396
Online: https://link.springer.com/bookseries/855
Original: Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
Comments: Book series
Documents Indexed: 104 Publications (since 1987)
all top 5

Authors / Editors

69 Gamkrelidze, Revaz Valerianovich
18 Shafarevich, Igor’ Rostislavovich
10 Arnol’d, Vladimir Igorevich
8 Shubin, Mikhail Aleksandrovich
7 Kostrikin, Alekseĭ Ivanovich
7 Parshin, Alekseĭ Nikolaevich
6 Egorov, Yuriĭ Vladimirovich
6 Nikol’skiĭ, Nikolaĭ Kapitonovich
5 Khavin, Viktor Petrovich
5 Novikov, Sergeĭ Petrovich
4 Khenkin, Gennadiĭ Markovich
3 Arkhangel’skiĭ, Aleksandr Vladimirovich
3 Onishchik, Arkadiĭ L’vovich
3 Takesaki, Masamichi
3 Vinberg, Èrnest Borisovich
2 Anosov, Dmitriĭ Viktorovich
2 Derksen, Harm
2 Freudenburg, Gene
2 Kemper, Gregor
2 Kirillov, Alexandre Aleksandrovich
2 Kozlov, Valeriĭ Vasil’evich
2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich
2 Popov, Vladimir Leonidovich
2 Sinaĭ, Yakov Grigor’evich
2 Vitushkin, Anatoliĭ Georgievich
1 Agrachev, Andreĭ Aleksandrovich
1 Agranovich, Mikhail Semënovich
1 Barth, Wolf Paul
1 Blackadar, Bruce E.
1 Bonatti, Christian
1 Bunimovich, Leonid Abramovich
1 Burago, Yuriĭ Dmitrievich
1 Campbell, H. E. A. Eddy
1 Campo, Nobert A.
1 Carter, J. Scott
1 Cuntz, Joachim
1 Dani, Shrikrishna Gopalrao
1 Díaz, Lorenzo Justiniano
1 Dobrushin, Roland L’vovich
1 Dolzhansky, Felix V.
1 Fedoryuk, Mikhail V.
1 Fel’dman, Naum Il’ich
1 Gabriel, Pierre
1 Gindikin, Simon Grigorevich
1 Gonchar, Andreĭ Aleksandrovich
1 Gorbatsevich, Vladimir Vital’evich
1 Goryunov, Victor V.
1 Grauert, Hans
1 Kamada, Seiichi
1 Kesten, Harry
1 Kornfel’d, I. P.
1 Lakshmibai, Venkatramani
1 Lando, Sergei K.
1 Lang, Serge
1 Lorenz, Martin
1 Lyashko, O. V.
1 Manin, Yuriĭ Ivanovich
1 Maslova, Nina Borisovna
1 Maz’ya, Vladimir Gilelevich
1 Narasimhan, Raghavan
1 Neĭshtadt, Anatoliĭ Iserovich
1 Nesterenko, Yuriĭ Valentinovich
1 Osserman, Robert
1 Panchishkin, Alexei A.
1 Pesin, Yakov Borisovich
1 Peternell, Thomas Martin
1 Pontryagin, Lev Semënovich
1 Postnikov, Mikhail Mikhaĭlovich
1 Prokhorov, Yuriĭ Vasil’evich
1 Raghavan, Komaranapuram N.
1 Remmert, Reinhold W.
1 Renner, Lex E.
1 Reshetnyak, Yuriĭ Grigor’evich
1 Roiter, Andrei V.
1 Rokhlin, Vladimir Abramovich
1 Rørdam, Mikael
1 Sachkov, Yuriĭ Leonidovich
1 Saito, Masahico
1 Saveliev, Nikolai
1 Shiryaev, Al’bert Nikolaevich
1 Skandalis, Georges
1 Smillie, John
1 Størmer, Erling
1 Suhov, Yurii Mikhailovich
1 Szász, Domokos
1 Tevelev, Evgueni A.
1 Timashev, Dmitri A.
1 Tsygan, Boris
1 Vasil’ev, Viktor Anatol’evich
1 Vershik, Anatoliĭ Moiseevich
1 Viana, Marcelo
1 Wehlau, David Louis
1 Yakobson, M. V.
1 Zagier, Don Bernard
1 Zalgaller, Viktor Abramovich
1 Zelikin, Mikhail Il’ich
1 Zvonkin, Alexander K.
all top 5

Fields

70 General and overarching topics; collections (00-XX)
19 Algebraic geometry (14-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Partial differential equations (35-XX)
10 Global analysis, analysis on manifolds (58-XX)
9 Number theory (11-XX)
9 Commutative algebra (13-XX)
9 Nonassociative rings and algebras (17-XX)
9 Topological groups, Lie groups (22-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Functional analysis (46-XX)
9 Differential geometry (53-XX)
8 Group theory and generalizations (20-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Abstract harmonic analysis (43-XX)
5 Mechanics of particles and systems (70-XX)
4 Associative rings and algebras (16-XX)
4 Category theory; homological algebra (18-XX)
4 Ordinary differential equations (34-XX)
4 General topology (54-XX)
3 \(K\)-theory (19-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Algebraic topology (55-XX)
3 Manifolds and cell complexes (57-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functions of a complex variable (30-XX)
2 Operator theory (47-XX)
2 Probability theory and stochastic processes (60-XX)
2 Fluid mechanics (76-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Quantum theory (81-XX)
1 Geophysics (86-XX)
1 Systems theory; control (93-XX)

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 4,773 times in 4,443 Documents Cited by Year
Theory of operator algebras I. 2nd printing of the 1979 ed. Zbl 0990.46034
Takesaki, M.
753
2002
Control theory from the geometric viewpoint. Zbl 1062.93001
Agrachev, Andrei A.; Sachkov, Yuri L.
468
2004
Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras. Zbl 1092.46003
Blackadar, Bruce
431
2006
Theory of operator algebras. II. Zbl 1059.46031
Takesaki, Masamichi
317
2003
Graphs on surfaces and their applications. Appendix by Don B. Zagier. Zbl 1040.05001
Lando, S. K.; Zvonkin, A. K.
275
2004
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo
274
2005
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro. 3rd revised ed. Zbl 1105.70002
Arnold, Vladimir I.; Kozlov, Valery V.; Neishtadt, Anatoly I.
261
2006
Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin. Zbl 0797.22001
Onishchik, A. L.; Vinberg, E. B.; Gorbatsevich, V. V.
201
1994
Computational invariant theory. Zbl 1011.13003
Derksen, Harm; Kemper, Gregor
161
2002
Theory of operator algebras. III. Zbl 1059.46032
Takesaki, Masamichi
120
2003
Homogeneous spaces and equivariant embeddings. Zbl 1237.14057
Timashev, Dmitry A.
110
2011
Algebraic theory of locally nilpotent derivations. Zbl 1121.13002
Freudenburg, Gene
104
2006
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
102
1992
Linear algebraic monoids. Zbl 1085.20041
Renner, Lex E.
73
2005
Invariants for homology 3-spheres. Zbl 0998.57001
Saveliev, N.
67
2002
Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras. Zbl 0985.00012
Rørdam, Mikael; Størmer, Erling
66
2002
Number theory III: Diophantine geometry. Zbl 0744.14012
Lang, Serge
62
1991
Computational invariant theory. With two appendices by Vladimir L. Popov and an addendum by Nobert A. Campo and Vladimir L. Popov. 2nd enlarged edition. Zbl 1332.13001
Derksen, Harm; Kemper, Gregor
54
2015
Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010
48
1994
Surfaces in 4-space. Zbl 1078.57001
Carter, Scott; Kamada, Seiichi; Saito, Masahico
46
2004
Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036
Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.
45
2008
Algebraic theory of locally nilpotent derivations. 2nd enlarged edition. Zbl 1391.13001
Freudenburg, Gene
45
2017
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
42
1993
Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian. Zbl 0658.00008
41
1988
Modular invariant theory. Zbl 1216.14001
Campbell, H. E. A. Eddy; Wehlau, David L.
38
2011
Projective duality and homogeneous spaces. Zbl 1071.14052
Tevelev, E. A.
36
2005
Multiplicative invariant theory. Zbl 1078.13003
Lorenz, Martin
34
2005
Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov. Zbl 1104.37050
Kozlov, V. V.
29
2003
Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev. Zbl 0993.53001
Postnikov, M. M.
27
2001
Hard ball systems and the Lorentz gas. Zbl 0953.00014
25
2000
Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. Zbl 0885.11004
Fel’dman, N. I.; Nesterenko, Yu. V.
20
1998
Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009
19
1994
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
19
1994
Introduction to modern number theory. Fundamental problems, ideas and theories. Transl. from the Russian. 2nd revised ed. Zbl 1079.11002
Manin, Yu. I.; Panchishkin, A. A.
18
2005
Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023
18
1993
Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011
16
2000
Cyclic homology in non-commutative geometry. Zbl 1045.46043
Cuntz, Joachim; Skandalis, Georges; Tsygan, Boris
15
2004
Analysis I. Integral presentations asymptotic methods. Zbl 0679.00009
14
1989
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010
14
2001
Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001
Arnol’d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A.
14
1993
Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014
12
1989
Complex analysis I: Entire and meromorphic functions, polyanalytic functions and their generalizations. Transl. from the Russian by V. I. Rublinetskij and V. A. Tkachenko. Zbl 0855.00006
12
1997
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008
11
1990
Dynamical systems VI. Singularity theory I. Transl. from the Russian by A. Iacob. Zbl 0786.00006
11
1993
Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky. Zbl 0795.00013
10
1994
General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007
9
1990
Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024
9
1992
Control theory and optimization. I: Homogeneous spaces and the Riccati equation in the calculus of variations. Transl. from the Russian by S. A. Vakhrameev. Zbl 0951.49002
Zelikin, M. I.
8
2000
Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500
Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M.
8
2000
Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action. Zbl 0986.14001
8
2002
Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028
8
1993
Fundamentals of geophysical hydrodynamics. Translated by Boris Khesin. Zbl 1286.86001
Dolzhansky, Felix V.
7
2013
Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021
7
1998
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
7
1990
Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025
7
1991
Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017
6
1998
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
6
1994
Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose. Zbl 0741.00027
6
1991
Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008
6
1994
General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould. Zbl 0826.00014
5
1995
Partial differential equations V. Asymptotic methods for partial differential equations. Transl. from the Russian by J. S. Joel and S. A. Wolf. Zbl 0906.00008
5
1999
Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010
5
1994
Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier. Zbl 0778.00016
5
1990
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
5
1992
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
5
1998
Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010
4
1995
Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher. Zbl 0778.00011
4
1990
Analysis II. Convex analysis and approximation theory. Transl. from the Russian by D. Newton. Zbl 0778.00010
4
1990
Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007
4
1997
Dynamical systems III. Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by A. Iacob. 2nd ed. Zbl 0785.00010
4
1993
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
3
1996
Basic notions of algebra. Translated from the 1986 Russian original by Miles Reid. Reprint of the 1997 English translation. Zbl 1074.16501
Shafarevich, Igor R.
3
2005
Dynamical systems III. (Transl. from the Russian). Zbl 0623.00023
3
1987
Commutative harmonic analysis IV: harmonic analysis in \(R^ n\). Transl from the Russian by J. Peetre. Zbl 0741.00029
3
1992
Partial differential equations VI. Elliptic and parabolic operators. Transl. from the Russian by M. Capinski, R. Cooke. Zbl 0801.00007
3
1994
Representation theory and noncommutative harmonic analysis II. Homogeneous spaces, representations and special functions. Transl. from the Russian by G. van Dijk, A. U. Klimyk, V. F. Molchanov and S. Z. Pakuliak. Zbl 0819.00006
2
1995
General topology II. Compactness. Homologies of general spaces. Transl. from the Russian by J. M. Lysko. Zbl 0830.00013
2
1996
Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011
2
1994
Several complex variables II. Function theory in classical domains. Complex potential theory. Transl. from the Russian by P.M. Gauthier and J.R. King. Zbl 0786.00010
2
1994
Commutative harmonic analysis I. General survey. Classical aspects. Transl. from the Russian. Zbl 0728.00014
2
1991
Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014
2
1996
Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501
2
2004
Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009
2
1993
Geometry IV. Non-regular Riemannian geometry. Transl. from the Russian by E. Primrose. Zbl 0777.00061
2
1993
Several complex variables III. Geometric function theory. Transl. from the Russian. Zbl 0658.00007
1
1989
Algebra IX. Finite groups of Lie type. Finite-dimensional division algebras. Transl. from the Russian by P. M. Cohn. Zbl 0830.00003
1
1996
Partial differential equations VIII. Overdetermined systems. Dissipative singular Schrödinger operator. Index theory. Transl. from the Russian by C. Constanda. Zbl 0830.00009
1
1996
Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin. Zbl 0886.14001
1
1998
Probability on discrete structures. Zbl 1025.60001
1
2004
Several complex variables VI. Complex manifolds. Zbl 0711.00012
1
1990
Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf. Zbl 0778.00012
1
1991
Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012
1
1991
Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. Zbl 0777.00034
1
1993
Algebra V. Homological algebra. Translated from the Russian by S.I. Gelfand and Yu.I. Manin. (Algebra V. Homological algebra. Transl. from the Russian by S. I. Gelfand and Yu. I. Manin.) Zbl 0787.00007
1
1994
Algebraic theory of locally nilpotent derivations. 2nd enlarged edition. Zbl 1391.13001
Freudenburg, Gene
45
2017
Computational invariant theory. With two appendices by Vladimir L. Popov and an addendum by Nobert A. Campo and Vladimir L. Popov. 2nd enlarged edition. Zbl 1332.13001
Derksen, Harm; Kemper, Gregor
54
2015
Fundamentals of geophysical hydrodynamics. Translated by Boris Khesin. Zbl 1286.86001
Dolzhansky, Felix V.
7
2013
Homogeneous spaces and equivariant embeddings. Zbl 1237.14057
Timashev, Dmitry A.
110
2011
Modular invariant theory. Zbl 1216.14001
Campbell, H. E. A. Eddy; Wehlau, David L.
38
2011
Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036
Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.
45
2008
Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras. Zbl 1092.46003
Blackadar, Bruce
431
2006
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro. 3rd revised ed. Zbl 1105.70002
Arnold, Vladimir I.; Kozlov, Valery V.; Neishtadt, Anatoly I.
261
2006
Algebraic theory of locally nilpotent derivations. Zbl 1121.13002
Freudenburg, Gene
104
2006
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo
274
2005
Linear algebraic monoids. Zbl 1085.20041
Renner, Lex E.
73
2005
Projective duality and homogeneous spaces. Zbl 1071.14052
Tevelev, E. A.
36
2005
Multiplicative invariant theory. Zbl 1078.13003
Lorenz, Martin
34
2005
Introduction to modern number theory. Fundamental problems, ideas and theories. Transl. from the Russian. 2nd revised ed. Zbl 1079.11002
Manin, Yu. I.; Panchishkin, A. A.
18
2005
Basic notions of algebra. Translated from the 1986 Russian original by Miles Reid. Reprint of the 1997 English translation. Zbl 1074.16501
Shafarevich, Igor R.
3
2005
Control theory from the geometric viewpoint. Zbl 1062.93001
Agrachev, Andrei A.; Sachkov, Yuri L.
468
2004
Graphs on surfaces and their applications. Appendix by Don B. Zagier. Zbl 1040.05001
Lando, S. K.; Zvonkin, A. K.
275
2004
Surfaces in 4-space. Zbl 1078.57001
Carter, Scott; Kamada, Seiichi; Saito, Masahico
46
2004
Cyclic homology in non-commutative geometry. Zbl 1045.46043
Cuntz, Joachim; Skandalis, Georges; Tsygan, Boris
15
2004
Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501
2
2004
Probability on discrete structures. Zbl 1025.60001
1
2004
Theory of operator algebras. II. Zbl 1059.46031
Takesaki, Masamichi
317
2003
Theory of operator algebras. III. Zbl 1059.46032
Takesaki, Masamichi
120
2003
Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov. Zbl 1104.37050
Kozlov, V. V.
29
2003
Theory of operator algebras I. 2nd printing of the 1979 ed. Zbl 0990.46034
Takesaki, M.
753
2002
Computational invariant theory. Zbl 1011.13003
Derksen, Harm; Kemper, Gregor
161
2002
Invariants for homology 3-spheres. Zbl 0998.57001
Saveliev, N.
67
2002
Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras. Zbl 0985.00012
Rørdam, Mikael; Størmer, Erling
66
2002
Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action. Zbl 0986.14001
8
2002
Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev. Zbl 0993.53001
Postnikov, M. M.
27
2001
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010
14
2001
Hard ball systems and the Lorentz gas. Zbl 0953.00014
25
2000
Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011
16
2000
Control theory and optimization. I: Homogeneous spaces and the Riccati equation in the calculus of variations. Transl. from the Russian by S. A. Vakhrameev. Zbl 0951.49002
Zelikin, M. I.
8
2000
Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500
Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M.
8
2000
Partial differential equations V. Asymptotic methods for partial differential equations. Transl. from the Russian by J. S. Joel and S. A. Wolf. Zbl 0906.00008
5
1999
Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. Zbl 0885.11004
Fel’dman, N. I.; Nesterenko, Yu. V.
20
1998
Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021
7
1998
Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017
6
1998
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
5
1998
Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin. Zbl 0886.14001
1
1998
Complex analysis I: Entire and meromorphic functions, polyanalytic functions and their generalizations. Transl. from the Russian by V. I. Rublinetskij and V. A. Tkachenko. Zbl 0855.00006
12
1997
Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007
4
1997
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
3
1996
General topology II. Compactness. Homologies of general spaces. Transl. from the Russian by J. M. Lysko. Zbl 0830.00013
2
1996
Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014
2
1996
Algebra IX. Finite groups of Lie type. Finite-dimensional division algebras. Transl. from the Russian by P. M. Cohn. Zbl 0830.00003
1
1996
Partial differential equations VIII. Overdetermined systems. Dissipative singular Schrödinger operator. Index theory. Transl. from the Russian by C. Constanda. Zbl 0830.00009
1
1996
General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould. Zbl 0826.00014
5
1995
Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010
4
1995
Representation theory and noncommutative harmonic analysis II. Homogeneous spaces, representations and special functions. Transl. from the Russian by G. van Dijk, A. U. Klimyk, V. F. Molchanov and S. Z. Pakuliak. Zbl 0819.00006
2
1995
Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin. Zbl 0797.22001
Onishchik, A. L.; Vinberg, E. B.; Gorbatsevich, V. V.
201
1994
Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010
48
1994
Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009
19
1994
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
19
1994
Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky. Zbl 0795.00013
10
1994
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
6
1994
Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008
6
1994
Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010
5
1994
Partial differential equations VI. Elliptic and parabolic operators. Transl. from the Russian by M. Capinski, R. Cooke. Zbl 0801.00007
3
1994
Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011
2
1994
Several complex variables II. Function theory in classical domains. Complex potential theory. Transl. from the Russian by P.M. Gauthier and J.R. King. Zbl 0786.00010
2
1994
Algebra V. Homological algebra. Translated from the Russian by S.I. Gelfand and Yu.I. Manin. (Algebra V. Homological algebra. Transl. from the Russian by S. I. Gelfand and Yu. I. Manin.) Zbl 0787.00007
1
1994
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
42
1993
Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023
18
1993
Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001
Arnol’d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A.
14
1993
Dynamical systems VI. Singularity theory I. Transl. from the Russian by A. Iacob. Zbl 0786.00006
11
1993
Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028
8
1993
Dynamical systems III. Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by A. Iacob. 2nd ed. Zbl 0785.00010
4
1993
Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009
2
1993
Geometry IV. Non-regular Riemannian geometry. Transl. from the Russian by E. Primrose. Zbl 0777.00061
2
1993
Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. Zbl 0777.00034
1
1993
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
102
1992
Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024
9
1992
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
5
1992
Commutative harmonic analysis IV: harmonic analysis in \(R^ n\). Transl from the Russian by J. Peetre. Zbl 0741.00029
3
1992
Number theory III: Diophantine geometry. Zbl 0744.14012
Lang, Serge
62
1991
Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025
7
1991
Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose. Zbl 0741.00027
6
1991
Commutative harmonic analysis I. General survey. Classical aspects. Transl. from the Russian. Zbl 0728.00014
2
1991
Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf. Zbl 0778.00012
1
1991
Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012
1
1991
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008
11
1990
General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007
9
1990
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
7
1990
Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier. Zbl 0778.00016
5
1990
Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher. Zbl 0778.00011
4
1990
Analysis II. Convex analysis and approximation theory. Transl. from the Russian by D. Newton. Zbl 0778.00010
4
1990
Several complex variables VI. Complex manifolds. Zbl 0711.00012
1
1990
Analysis I. Integral presentations asymptotic methods. Zbl 0679.00009
14
1989
Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014
12
1989
Several complex variables III. Geometric function theory. Transl. from the Russian. Zbl 0658.00007
1
1989
Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian. Zbl 0658.00008
41
1988
Dynamical systems III. (Transl. from the Russian). Zbl 0623.00023
3
1987
all top 5

Cited by 4,819 Authors

42 Sukochev, Fedor Anatol’evich
40 Sachkov, Yuriĭ Leonidovich
27 Agrachev, Andreĭ Aleksandrovich
24 Peralta, Antonio M.
20 Boscain, Ugo
20 Hamhalter, Jan
19 Yang, Jiagang
18 Bonatti, Christian
18 Farah, Ilijas
18 Junge, Marius
18 Longo, Roberto
17 Arzhantsev, Ivan Vladimirovich
17 Bikchentaev, Aĭrat Midkhatovich
16 Houdayer, Cyril
16 Sigalotti, Mario
16 Trélat, Emmanuel
15 Can, Mahir Bilen
15 Mamaev, Ivan Sergeevich
15 Zanin, Dmitriy V.
14 Caspers, Martijn
14 Chirvăsitu, Alexandru
14 Potrie, Rafael
14 Tanimoto, Yoh
13 Barilari, Davide
13 Biggs, Rory
13 Borisov, Alekseĭ Vladimirovich
13 Díaz, Lorenzo Justiniano
13 Kozlov, Valeriĭ Vasil’evich
13 Lupini, Martino
13 Markeev, Anatoliĭ Pavlovich
13 Sezer, Müfit
12 Fidaleo, Francesco
12 Neĭshtadt, Anatoliĭ Iserovich
12 Remsing, Claudiu-Cristian
11 Amini, Massoud
11 Chapuy, Guillaume
11 Domokos, Mátyás
11 Huang, Jinghao
11 Le Donne, Enrico
11 Mashtakov, Alexey P.
11 Seaton, Christopher
11 Simson, Daniel
11 Skalski, Adam G.
10 Avdeev, Roman S.
10 Bessa, Mário
10 Bochi, Jairo
10 Caillau, Jean-Baptiste
10 Chitour, Yacine
10 Daws, Matthew
10 Herbig, Hans-Christian
10 Kaliman, Shulim I.
10 Kilin, Aleksandr Aleksandrovich
10 Panyushev, Dmitri Ivanovich
10 Rizzi, Luca
10 Tomatsu, Reiji
10 Valls Anglés, Cláudia
10 Zaidenberg, Mikhail G.
9 Blecher, David P.
9 Ciaglia, Florio Maria
9 Crovisier, Sylvain
9 Dołęga, Maciej
9 Duits, Remco
9 El Kahoui, M’hammed
9 Freudenburg, Gene
9 Gelfert, Katrin Grit
9 Kawamura, Katsunori
9 Ogata, Yoshiko
9 Podobryaev, Alekseĭ V.
9 Todorov, Ivan G.
9 Turilova, Ekaterina A.
9 Ueda, Yoshimichi
9 Viana, Marcelo
8 Araújo, Vítor
8 Beltiţă, Daniel
8 Bloch, Anthony Michael
8 Bonnard, Bernard
8 Borovoi, Mikhail V.
8 Chen, Yin
8 Chierchia, Luigi
8 Hayes, Ben
8 Ibort, Alberto
8 Isono, Yusuke
8 Kohls, Martin
8 Kokkonen, Petri
8 Labuschagne, Louis E.
8 Łuczak, Andrzej
8 Marmo, Giuseppe
8 Morales, Alejandro Henry
8 Mukherjee, Kunal K.
8 Rennie, Adam
8 Shank, R. James
8 Silva Leite, Fátima
8 Sims, Aidan
8 Thiel, Hannes
8 Tralle, Aleksy E.
8 Vidal, Claudio
8 Yang, Dawei
7 Alekseevskiĭ, Dmitriĭ Vladimirovich
7 Ber, Aleksey Feliksovich
7 Bocheński, Maciej Franciszek
...and 4,719 more Authors
all top 5

Cited in 546 Journals

219 Journal of Functional Analysis
135 Journal of Algebra
121 Advances in Mathematics
116 Journal of Mathematical Analysis and Applications
109 Communications in Mathematical Physics
95 Transactions of the American Mathematical Society
85 Proceedings of the American Mathematical Society
81 Journal of Mathematical Physics
63 Journal of Pure and Applied Algebra
63 Regular and Chaotic Dynamics
60 Ergodic Theory and Dynamical Systems
58 Journal of Mathematical Sciences (New York)
56 Journal of Dynamical and Control Systems
52 Mathematische Zeitschrift
51 Linear Algebra and its Applications
43 Transformation Groups
41 Journal of Geometry and Physics
41 Proceedings of the Steklov Institute of Mathematics
40 Communications in Algebra
39 International Journal of Mathematics
35 Journal of Differential Equations
35 Mathematische Annalen
35 Topology and its Applications
35 Journal of High Energy Physics
32 SIAM Journal on Control and Optimization
29 Discrete and Continuous Dynamical Systems
27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
26 Israel Journal of Mathematics
25 Annales de l’Institut Fourier
25 Duke Mathematical Journal
25 Differential Geometry and its Applications
24 Journal of Physics A: Mathematical and Theoretical
23 Letters in Mathematical Physics
23 Journal für die Reine und Angewandte Mathematik
23 Journal of the European Mathematical Society (JEMS)
22 Reports on Mathematical Physics
22 Geometriae Dedicata
22 Journal of Symbolic Computation
22 Celestial Mechanics and Dynamical Astronomy
21 Annales Henri Poincaré
20 Journal of Statistical Physics
20 Bulletin of the London Mathematical Society
20 Functional Analysis and its Applications
20 Journal of the London Mathematical Society. Second Series
19 Reviews in Mathematical Physics
19 Inventiones Mathematicae
19 Lobachevskii Journal of Mathematics
18 Mathematics of Computation
18 Siberian Mathematical Journal
18 Doklady Mathematics
18 Annals of Mathematics. Second Series
17 Mathematical Notes
17 Journal of Dynamics and Differential Equations
17 Russian Journal of Nonlinear Dynamics
16 Nonlinearity
16 Studia Mathematica
16 Integral Equations and Operator Theory
15 Nuclear Physics. B
15 Compositio Mathematica
15 Memoirs of the American Mathematical Society
15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
15 Physica D
15 The Journal of Geometric Analysis
15 Journal of Algebra and its Applications
15 Journal of Noncommutative Geometry
14 Linear and Multilinear Algebra
14 Illinois Journal of Mathematics
14 Acta Applicandae Mathematicae
14 Journal of Knot Theory and its Ramifications
14 Journal of Nonlinear Science
14 Algebras and Representation Theory
14 Acta Mathematica Sinica. English Series
14 Complex Analysis and Operator Theory
13 Physics Letters. A
13 Journal of Combinatorial Theory. Series A
13 Manuscripta Mathematica
13 European Journal of Combinatorics
13 Russian Journal of Mathematical Physics
13 Positivity
13 Banach Journal of Mathematical Analysis
12 Mathematical Proceedings of the Cambridge Philosophical Society
12 Canadian Journal of Mathematics
12 Glasgow Mathematical Journal
12 Journal of Number Theory
12 Advances in Applied Mathematics
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Expositiones Mathematicae
12 Indagationes Mathematicae. New Series
12 Journal de Théorie des Nombres de Bordeaux
12 Selecta Mathematica. New Series
12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
12 Kyoto Journal of Mathematics
12 Annals of Functional Analysis
11 International Journal of Theoretical Physics
11 Automatica
11 Proceedings of the Edinburgh Mathematical Society. Series II
11 Systems & Control Letters
11 Geometric and Functional Analysis. GAFA
11 Algebraic & Geometric Topology
11 Journal of the Australian Mathematical Society
...and 446 more Journals
all top 5

Cited in 62 Fields

1,202 Functional analysis (46-XX)
708 Dynamical systems and ergodic theory (37-XX)
633 Algebraic geometry (14-XX)
466 Quantum theory (81-XX)
423 Differential geometry (53-XX)
415 Operator theory (47-XX)
346 Group theory and generalizations (20-XX)
311 Topological groups, Lie groups (22-XX)
303 Commutative algebra (13-XX)
303 Mechanics of particles and systems (70-XX)
249 Associative rings and algebras (16-XX)
246 Manifolds and cell complexes (57-XX)
242 Combinatorics (05-XX)
241 Calculus of variations and optimal control; optimization (49-XX)
213 Number theory (11-XX)
207 Nonassociative rings and algebras (17-XX)
179 Global analysis, analysis on manifolds (58-XX)
177 Systems theory; control (93-XX)
165 Several complex variables and analytic spaces (32-XX)
163 Ordinary differential equations (34-XX)
159 Partial differential equations (35-XX)
144 Probability theory and stochastic processes (60-XX)
108 Linear and multilinear algebra; matrix theory (15-XX)
108 Abstract harmonic analysis (43-XX)
102 Statistical mechanics, structure of matter (82-XX)
99 Category theory; homological algebra (18-XX)
75 Functions of a complex variable (30-XX)
73 Mathematical logic and foundations (03-XX)
71 Computer science (68-XX)
64 Numerical analysis (65-XX)
63 \(K\)-theory (19-XX)
63 Algebraic topology (55-XX)
59 Measure and integration (28-XX)
58 Fluid mechanics (76-XX)
55 Information and communication theory, circuits (94-XX)
52 General topology (54-XX)
49 Order, lattices, ordered algebraic structures (06-XX)
47 Convex and discrete geometry (52-XX)
43 Geometry (51-XX)
42 Biology and other natural sciences (92-XX)
41 Relativity and gravitational theory (83-XX)
37 Harmonic analysis on Euclidean spaces (42-XX)
28 Statistics (62-XX)
27 Field theory and polynomials (12-XX)
26 Operations research, mathematical programming (90-XX)
23 Real functions (26-XX)
23 Special functions (33-XX)
22 Mechanics of deformable solids (74-XX)
22 Optics, electromagnetic theory (78-XX)
18 Difference and functional equations (39-XX)
18 Approximations and expansions (41-XX)
16 History and biography (01-XX)
15 Potential theory (31-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 General and overarching topics; collections (00-XX)
8 Integral transforms, operational calculus (44-XX)
5 General algebraic systems (08-XX)
5 Integral equations (45-XX)
4 Sequences, series, summability (40-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
3 Geophysics (86-XX)

Citations by Year