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zbMATH — the first resource for mathematics

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, Alexei N.
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 Arnol’d, V. I.
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, Yuri 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

78 Publications have been cited 3,259 times in 3,079 Documents Cited by Year
Theory of operator algebras I. 2nd printing of the 1979 ed. Zbl 0990.46034
Takesaki, M.
559
2002
Control theory from the geometric viewpoint. Zbl 1062.93001
Agrachev, Andrei A.; Sachkov, Yuri L.
364
2004
Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras. Zbl 1092.46003
Blackadar, Bruce
279
2006
Theory of operator algebras. II. Zbl 1059.46031
Takesaki, Masamichi
218
2003
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo
210
2005
Graphs on surfaces and their applications. Appendix by Don B. Zagier. Zbl 1040.05001
Lando, S. K.; Zvonkin, A. K.
191
2004
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.
178
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.
145
1994
Computational invariant theory. Zbl 1011.13003
Derksen, Harm; Kemper, Gregor
134
2002
Theory of operator algebras. III. Zbl 1059.46032
Takesaki, Masamichi
83
2003
Algebraic theory of locally nilpotent derivations. Zbl 1121.13002
Freudenburg, Gene
80
2006
Homogeneous spaces and equivariant embeddings. Zbl 1237.14057
Timashev, Dmitry A.
66
2011
Linear algebraic monoids. Zbl 1085.20041
Renner, Lex E.
62
2005
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
59
1992
Number theory III: Diophantine geometry. Zbl 0744.14012
Lang, Serge
57
1991
Invariants for homology 3-spheres. Zbl 0998.57001
Saveliev, N.
51
2002
Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras. Zbl 0985.00012
Rørdam, Mikael; Størmer, Erling
39
2002
Modular invariant theory. Zbl 1216.14001
Campbell, H. E. A. Eddy; Wehlau, David L.
28
2011
Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian. Zbl 0658.00008
28
1988
Surfaces in 4-space. Zbl 1078.57001
Carter, Scott; Kamada, Seiichi; Saito, Masahico
28
2004
Multiplicative invariant theory. Zbl 1078.13003
Lorenz, Martin
28
2005
Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010
27
1994
Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov. Zbl 1104.37050
Kozlov, V. V.
27
2003
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
23
2015
Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036
Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.
23
2008
Algebraic theory of locally nilpotent derivations. 2nd enlarged edition. Zbl 1391.13001
Freudenburg, Gene
22
2017
Projective duality and homogeneous spaces. Zbl 1071.14052
Tevelev, E. A.
20
2005
Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev. Zbl 0993.53001
Postnikov, M. M.
19
2001
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
17
1993
Hard ball systems and the Lorentz gas. Zbl 0953.00014
15
2000
Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011
13
2000
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.
13
2005
Cyclic homology in non-commutative geometry. Zbl 1045.46043
Cuntz, Joachim; Skandalis, Georges; Tsygan, Boris
11
2004
Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023
9
1993
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.
9
1998
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
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.
7
2000
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.
7
1993
Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009
6
1994
Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021
5
1998
Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014
5
1989
Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024
5
1992
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
5
1990
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010
5
2001
Fundamentals of geophysical hydrodynamics. Translated by Boris Khesin. Zbl 1286.86001
Dolzhansky, Felix V.
5
2013
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008
4
1990
Dynamical systems VI. Singularity theory I. Transl. from the Russian by A. Iacob. Zbl 0786.00006
4
1993
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
4
1992
Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017
4
1998
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
4
1994
Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025
3
1991
Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010
3
1994
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
2
1997
Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007
2
1997
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.
2
2005
Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier. Zbl 0778.00016
2
1990
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
2
1994
Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501
2
2004
Dynamical systems III. (Transl. from the Russian). Zbl 0623.00023
2
1987
Analysis I. Integral presentations asymptotic methods. Zbl 0679.00009
2
1989
Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028
2
1993
Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008
2
1994
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
2
1994
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
2
1998
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
2
1996
General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould. Zbl 0826.00014
2
1995
Probability on discrete structures. Zbl 1025.60001
1
2004
Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher. Zbl 0778.00011
1
1990
General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007
1
1990
Several complex variables VI. Complex manifolds. Zbl 0711.00012
1
1990
Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012
1
1991
Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014
1
1996
Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose. Zbl 0741.00027
1
1991
Several complex variables III. Geometric function theory. Transl. from the Russian. Zbl 0658.00007
1
1989
Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009
1
1993
Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011
1
1994
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
1
1999
Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010
1
1995
Algebraic theory of locally nilpotent derivations. 2nd enlarged edition. Zbl 1391.13001
Freudenburg, Gene
22
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
23
2015
Fundamentals of geophysical hydrodynamics. Translated by Boris Khesin. Zbl 1286.86001
Dolzhansky, Felix V.
5
2013
Homogeneous spaces and equivariant embeddings. Zbl 1237.14057
Timashev, Dmitry A.
66
2011
Modular invariant theory. Zbl 1216.14001
Campbell, H. E. A. Eddy; Wehlau, David L.
28
2011
Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036
Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.
23
2008
Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras. Zbl 1092.46003
Blackadar, Bruce
279
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.
178
2006
Algebraic theory of locally nilpotent derivations. Zbl 1121.13002
Freudenburg, Gene
80
2006
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo
210
2005
Linear algebraic monoids. Zbl 1085.20041
Renner, Lex E.
62
2005
Multiplicative invariant theory. Zbl 1078.13003
Lorenz, Martin
28
2005
Projective duality and homogeneous spaces. Zbl 1071.14052
Tevelev, E. A.
20
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.
13
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.
2
2005
Control theory from the geometric viewpoint. Zbl 1062.93001
Agrachev, Andrei A.; Sachkov, Yuri L.
364
2004
Graphs on surfaces and their applications. Appendix by Don B. Zagier. Zbl 1040.05001
Lando, S. K.; Zvonkin, A. K.
191
2004
Surfaces in 4-space. Zbl 1078.57001
Carter, Scott; Kamada, Seiichi; Saito, Masahico
28
2004
Cyclic homology in non-commutative geometry. Zbl 1045.46043
Cuntz, Joachim; Skandalis, Georges; Tsygan, Boris
11
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
218
2003
Theory of operator algebras. III. Zbl 1059.46032
Takesaki, Masamichi
83
2003
Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov. Zbl 1104.37050
Kozlov, V. V.
27
2003
Theory of operator algebras I. 2nd printing of the 1979 ed. Zbl 0990.46034
Takesaki, M.
559
2002
Computational invariant theory. Zbl 1011.13003
Derksen, Harm; Kemper, Gregor
134
2002
Invariants for homology 3-spheres. Zbl 0998.57001
Saveliev, N.
51
2002
Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras. Zbl 0985.00012
Rørdam, Mikael; Størmer, Erling
39
2002
Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev. Zbl 0993.53001
Postnikov, M. M.
19
2001
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010
5
2001
Hard ball systems and the Lorentz gas. Zbl 0953.00014
15
2000
Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011
13
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
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.
7
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
1
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.
9
1998
Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021
5
1998
Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017
4
1998
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
2
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
2
1997
Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007
2
1997
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
2
1996
Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014
1
1996
General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould. Zbl 0826.00014
2
1995
Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010
1
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.
145
1994
Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010
27
1994
Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009
6
1994
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
4
1994
Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010
3
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
2
1994
Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008
2
1994
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
2
1994
Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011
1
1994
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
17
1993
Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023
9
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.
7
1993
Dynamical systems VI. Singularity theory I. Transl. from the Russian by A. Iacob. Zbl 0786.00006
4
1993
Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028
2
1993
Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009
1
1993
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
59
1992
Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024
5
1992
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
4
1992
Number theory III: Diophantine geometry. Zbl 0744.14012
Lang, Serge
57
1991
Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025
3
1991
Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012
1
1991
Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose. Zbl 0741.00027
1
1991
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
5
1990
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008
4
1990
Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier. Zbl 0778.00016
2
1990
Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher. Zbl 0778.00011
1
1990
General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007
1
1990
Several complex variables VI. Complex manifolds. Zbl 0711.00012
1
1990
Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014
5
1989
Analysis I. Integral presentations asymptotic methods. Zbl 0679.00009
2
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
28
1988
Dynamical systems III. (Transl. from the Russian). Zbl 0623.00023
2
1987
all top 5

Cited by 3,389 Authors

31 Sachkov, Yuriĭ Leonidovich
31 Sukochev, Fedor Anatol’evich
24 Agrachev, Andreĭ Aleksandrovich
18 Peralta, Antonio M.
17 Boscain, Ugo
17 Hamhalter, Jan
16 Bonatti, Christian
15 Junge, Marius
15 Trélat, Emmanuel
13 Biggs, Rory
13 Mamaev, Ivan Sergeevich
13 Sezer, Müfit
13 Sigalotti, Mario
12 Arzhantsev, Ivan Vladimirovich
12 Farah, Ilijas
12 Houdayer, Cyril
12 Kozlov, Valeriĭ Vasil’evich
12 Longo, Roberto
12 Remsing, Claudiu-Cristian
12 Yang, Jiagang
11 Barilari, Davide
11 Borisov, Alekseĭ Vladimirovich
11 Fidaleo, Francesco
11 Lupini, Martino
11 Neĭshtadt, Anatoliĭ Iserovich
10 Ardentov, Andrei A.
10 Blecher, David P.
10 Can, Mahir Bilen
10 Markeev, Anatoliĭ Pavlovich
10 Potrie, Rafael
9 Bochi, Jairo
9 Chitour, Yacine
9 Díaz, Lorenzo Justiniano
9 Kilin, Aleksandr Aleksandrovich
9 Le Donne, Enrico
9 Rizzi, Luca
9 Tanimoto, Yoh
9 Tomatsu, Reiji
9 Zanin, Dmitriy V.
8 Avdeev, Roman S.
8 Bikchentaev, Aĭrat Midkhatovich
8 Bloch, Anthony M.
8 Caspers, Martijn
8 Crovisier, Sylvain
8 Daws, Matthew
8 Duits, Remco
8 Freudenburg, Gene
8 Herbig, Hans-Christian
8 Kohls, Martin
8 Podobryaev, Alekseĭ V.
8 Seaton, Christopher
8 Shank, R. James
8 Ueda, Yoshimichi
7 Beltiţă, Daniel
7 Bessa, Mário
7 Caillau, Jean-Baptiste
7 Chen, Yin
7 Domokos, Mátyás
7 Kaliman, Shulim I.
7 Kokkonen, Petri
7 Magajna, Bojan
7 Oikhberg, Timur
7 Rennie, Adam
7 Ruan, Zhongjin
7 Sidorenko, Vladislav V.
7 Sims, Aidan
7 Todorov, Ivan G.
7 Turilova, Ekaterina A.
7 Zaidenberg, Mikhail G.
6 Alekseevskiĭ, Dmitriĭ Vladimirovich
6 Araújo, Vítor
6 Boarotto, Francesco
6 Bocheński, Maciej Franciszek
6 Caponigro, Marco
6 Chapuy, Guillaume
6 Chierchia, Luigi
6 Chirvăsitu, Alexandru
6 Daigle, Daniel
6 De Commer, Kenny
6 Drensky, Vesselin
6 El Kahoui, M’hammed
6 Gelfert, Katrin Grit
6 Grundling, Hendrik B. G. S.
6 Haagerup, Uffe Valentin
6 Harnad, John
6 Hayes, Ben
6 Kawamura, Katsunori
6 Kemper, Gregor
6 Lau, Anthony To-Ming
6 Li, Zhenheng
6 Markina, Irina
6 Mashtakov, Alexey P.
6 Masuda, Kayo
6 Ogata, Yoshiko
6 Renner, Lex E.
6 Skalski, Adam G.
6 Tikhonov, Oleg Evgen’evich
6 Tralle, Aleksy E.
6 Valls Anglés, Cláudia
6 Vidal, Claudio
...and 3,289 more Authors
all top 5

Cited in 426 Journals

192 Journal of Functional Analysis
104 Journal of Algebra
98 Journal of Mathematical Analysis and Applications
86 Advances in Mathematics
79 Communications in Mathematical Physics
79 Transactions of the American Mathematical Society
73 Proceedings of the American Mathematical Society
66 Journal of Mathematical Physics
51 Ergodic Theory and Dynamical Systems
49 Journal of Mathematical Sciences (New York)
48 Regular and Chaotic Dynamics
40 Journal of Pure and Applied Algebra
40 Journal of Dynamical and Control Systems
39 Linear Algebra and its Applications
32 Mathematische Zeitschrift
32 International Journal of Mathematics
29 Communications in Algebra
28 Journal of Differential Equations
27 SIAM Journal on Control and Optimization
27 Proceedings of the Steklov Institute of Mathematics
25 Journal of Geometry and Physics
25 Mathematische Annalen
25 Topology and its Applications
25 Transformation Groups
21 Israel Journal of Mathematics
21 Duke Mathematical Journal
21 Celestial Mechanics and Dynamical Astronomy
20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
19 Annales de l’Institut Fourier
19 Differential Geometry and its Applications
19 Journal of High Energy Physics
18 Annals of Mathematics. Second Series
17 Journal of Statistical Physics
17 Functional Analysis and its Applications
17 Geometriae Dedicata
17 Journal of Symbolic Computation
17 Discrete and Continuous Dynamical Systems
16 Letters in Mathematical Physics
15 Reports on Mathematical Physics
15 Reviews in Mathematical Physics
15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Inventiones Mathematicae
14 Journal für die Reine und Angewandte Mathematik
14 Acta Applicandae Mathematicae
14 Doklady Mathematics
13 Mathematical Notes
13 Journal of Combinatorial Theory. Series A
13 European Journal of Combinatorics
13 Lobachevskii Journal of Mathematics
13 Nelineĭnaya Dinamika
12 Studia Mathematica
12 Mathematics of Computation
12 Illinois Journal of Mathematics
12 Integral Equations and Operator Theory
12 Memoirs of the American Mathematical Society
12 Siberian Mathematical Journal
12 Russian Journal of Mathematical Physics
12 Banach Journal of Mathematical Analysis
11 Nuclear Physics. B
11 Compositio Mathematica
11 Manuscripta Mathematica
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Journal of Dynamics and Differential Equations
11 Journal de Théorie des Nombres de Bordeaux
11 Journal of the European Mathematical Society (JEMS)
11 Acta Mathematica Sinica. English Series
11 Journal of the Australian Mathematical Society
11 Journal of Algebra and its Applications
10 International Journal of Theoretical Physics
10 Physics Letters. A
10 Journal of Nonlinear Science
10 Algebras and Representation Theory
10 Annales Henri Poincaré
10 Algebraic & Geometric Topology
10 Journal of Noncommutative Geometry
10 Journal of Geometric Mechanics
9 Nonlinearity
9 Automatica
9 Glasgow Mathematical Journal
9 Selecta Mathematica. New Series
9 Positivity
9 Infinite Dimensional Analysis, Quantum Probability and Related Topics
9 Kyoto Journal of Mathematics
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 Semigroup Forum
8 Systems & Control Letters
8 Journal of the American Mathematical Society
8 The Journal of Geometric Analysis
8 Expositiones Mathematicae
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Analysis and Mathematical Physics
7 Bulletin of the Australian Mathematical Society
7 Rocky Mountain Journal of Mathematics
7 Russian Mathematical Surveys
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Journal of Number Theory
7 Transactions of the Moscow Mathematical Society
7 Advances in Applied Mathematics
7 Physica D
...and 326 more Journals
all top 5

Cited in 62 Fields

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

Citations by Year