# 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)
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#### 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)

#### 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.
2002
Control theory from the geometric viewpoint. Zbl 1062.93001
Agrachev, Andrei A.; Sachkov, Yuri L.
2004
Operator algebras. Theory of $$C^*$$-algebras and von Neumann algebras. Zbl 1092.46003
2006
Theory of operator algebras. II. Zbl 1059.46031
Takesaki, Masamichi
2003
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo
2005
Graphs on surfaces and their applications. Appendix by Don B. Zagier. Zbl 1040.05001
Lando, S. K.; Zvonkin, A. K.
2004
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro. 3rd revised ed. Zbl 1105.70002
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.
1994
Computational invariant theory. Zbl 1011.13003
Derksen, Harm; Kemper, Gregor
2002
Theory of operator algebras. III. Zbl 1059.46032
Takesaki, Masamichi
2003
Algebraic theory of locally nilpotent derivations. Zbl 1121.13002
Freudenburg, Gene
2006
Homogeneous spaces and equivariant embeddings. Zbl 1237.14057
Timashev, Dmitry A.
2011
Linear algebraic monoids. Zbl 1085.20041
Renner, Lex E.
2005
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
1992
Number theory III: Diophantine geometry. Zbl 0744.14012
Lang, Serge
1991
Invariants for homology 3-spheres. Zbl 0998.57001
Saveliev, N.
2002
Classification of nuclear $$C^*$$-algebras. Entropy in operator algebras. Zbl 0985.00012
Rørdam, Mikael; Størmer, Erling
2002
Modular invariant theory. Zbl 1216.14001
Campbell, H. E. A. Eddy; Wehlau, David L.
2011
Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian. Zbl 0658.00008
1988
Surfaces in 4-space. Zbl 1078.57001
Carter, Scott; Kamada, Seiichi; Saito, Masahico
2004
Multiplicative invariant theory. Zbl 1078.13003
Lorenz, Martin
2005
Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010
1994
Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov. Zbl 1104.37050
Kozlov, V. V.
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
2015
Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036
Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.
2008
Algebraic theory of locally nilpotent derivations. 2nd enlarged edition. Zbl 1391.13001
Freudenburg, Gene
2017
Projective duality and homogeneous spaces. Zbl 1071.14052
Tevelev, E. A.
2005
Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev. Zbl 0993.53001
Postnikov, M. M.
2001
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
1993
Hard ball systems and the Lorentz gas. Zbl 0953.00014
2000
Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011
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.
2005
Cyclic homology in non-commutative geometry. Zbl 1045.46043
Cuntz, Joachim; Skandalis, Georges; Tsygan, Boris
2004
Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023
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.
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.
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.
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.
1993
Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009
1994
Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021
1998
Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014
1989
Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024
1992
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
1990
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010
2001
Fundamentals of geophysical hydrodynamics. Translated by Boris Khesin. Zbl 1286.86001
Dolzhansky, Felix V.
2013
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008
1990
Dynamical systems VI. Singularity theory I. Transl. from the Russian by A. Iacob. Zbl 0786.00006
1993
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
1992
Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017
1998
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
1994
Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025
1991
Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010
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
1997
Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007
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.
2005
Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier. Zbl 0778.00016
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
1994
Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501
2004
Dynamical systems III. (Transl. from the Russian). Zbl 0623.00023
1987
Analysis I. Integral presentations asymptotic methods. Zbl 0679.00009
1989
Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028
1993
Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008
1994
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
1994
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
1998
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
1996
General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould. Zbl 0826.00014
1995
Probability on discrete structures. Zbl 1025.60001
2004
Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher. Zbl 0778.00011
1990
General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007
1990
Several complex variables VI. Complex manifolds. Zbl 0711.00012
1990
Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012
1991
Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014
1996
Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose. Zbl 0741.00027
1991
Several complex variables III. Geometric function theory. Transl. from the Russian. Zbl 0658.00007
1989
Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009
1993
Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011
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
1999
Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010
1995
Algebraic theory of locally nilpotent derivations. 2nd enlarged edition. Zbl 1391.13001
Freudenburg, Gene
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
2015
Fundamentals of geophysical hydrodynamics. Translated by Boris Khesin. Zbl 1286.86001
Dolzhansky, Felix V.
2013
Homogeneous spaces and equivariant embeddings. Zbl 1237.14057
Timashev, Dmitry A.
2011
Modular invariant theory. Zbl 1216.14001
Campbell, H. E. A. Eddy; Wehlau, David L.
2011
Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036
Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.
2008
Operator algebras. Theory of $$C^*$$-algebras and von Neumann algebras. Zbl 1092.46003
2006
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro. 3rd revised ed. Zbl 1105.70002
2006
Algebraic theory of locally nilpotent derivations. Zbl 1121.13002
Freudenburg, Gene
2006
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo
2005
Linear algebraic monoids. Zbl 1085.20041
Renner, Lex E.
2005
Multiplicative invariant theory. Zbl 1078.13003
Lorenz, Martin
2005
Projective duality and homogeneous spaces. Zbl 1071.14052
Tevelev, E. A.
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.
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.
2005
Control theory from the geometric viewpoint. Zbl 1062.93001
Agrachev, Andrei A.; Sachkov, Yuri L.
2004
Graphs on surfaces and their applications. Appendix by Don B. Zagier. Zbl 1040.05001
Lando, S. K.; Zvonkin, A. K.
2004
Surfaces in 4-space. Zbl 1078.57001
Carter, Scott; Kamada, Seiichi; Saito, Masahico
2004
Cyclic homology in non-commutative geometry. Zbl 1045.46043
Cuntz, Joachim; Skandalis, Georges; Tsygan, Boris
2004
Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501
2004
Probability on discrete structures. Zbl 1025.60001
2004
Theory of operator algebras. II. Zbl 1059.46031
Takesaki, Masamichi
2003
Theory of operator algebras. III. Zbl 1059.46032
Takesaki, Masamichi
2003
Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov. Zbl 1104.37050
Kozlov, V. V.
2003
Theory of operator algebras I. 2nd printing of the 1979 ed. Zbl 0990.46034
Takesaki, M.
2002
Computational invariant theory. Zbl 1011.13003
Derksen, Harm; Kemper, Gregor
2002
Invariants for homology 3-spheres. Zbl 0998.57001
Saveliev, N.
2002
Classification of nuclear $$C^*$$-algebras. Entropy in operator algebras. Zbl 0985.00012
Rørdam, Mikael; Størmer, Erling
2002
Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev. Zbl 0993.53001
Postnikov, M. M.
2001
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010
2001
Hard ball systems and the Lorentz gas. Zbl 0953.00014
2000
Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011
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.
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.
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
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&rsquo;dman, N. I.; Nesterenko, Yu. V.
1998
Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021
1998
Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017
1998
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
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
1997
Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007
1997
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
1996
Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014
1996
General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould. Zbl 0826.00014
1995
Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010
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.
1994
Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010
1994
Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009
1994
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
1994
Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010
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
1994
Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008
1994
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
1994
Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011
1994
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
1993
Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023
1993
Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001
Arnol&rsquo;d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A.
1993
Dynamical systems VI. Singularity theory I. Transl. from the Russian by A. Iacob. Zbl 0786.00006
1993
Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028
1993
Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009
1993
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
1992
Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024
1992
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
1992
Number theory III: Diophantine geometry. Zbl 0744.14012
Lang, Serge
1991
Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025
1991
Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012
1991
Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose. Zbl 0741.00027
1991
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
1990
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008
1990
Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier. Zbl 0778.00016
1990
Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher. Zbl 0778.00011
1990
General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007
1990
Several complex variables VI. Complex manifolds. Zbl 0711.00012
1990
Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014
1989
Analysis I. Integral presentations asymptotic methods. Zbl 0679.00009
1989
Several complex variables III. Geometric function theory. Transl. from the Russian. Zbl 0658.00007
1989
Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian. Zbl 0658.00008
1988
Dynamical systems III. (Transl. from the Russian). Zbl 0623.00023
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
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#### 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
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#### 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)