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Fomin, Sergeĭ Vasil’evich

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Author ID: fomin.sergei-vasilevich Recent zbMATH articles by "Fomin, Sergeĭ Vasil’evich"
Published as: Fomin, S. V.; Fomin, S.; Formin, S. V.; Fomine, S.
Further Spellings: Фомин Сергей Васильевич
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 72 Publications since 1937, including 27 Books
2 Contributions as Editor · 1 Further Contribution
Biographic References: 4 Publications
Co-Authors: 24 Co-Authors with 48 Joint Publications
1,168 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 2,394 times in 2,340 Documents Cited by Year
Elements of the theory of functions and functional analysis. 3rd rev. ed. (Ѐлементы теории функций и функционального анализа.) Zbl 0235.46001
Kolmogorov, A. N.; Fomin, S. V.
410
1972
Calculus of variations. Zbl 0127.05402
Gelfand, I. M.; Fomin, S. V.
376
1965
Ergodic theory. Transl. from the Russian by A. B. Sossinskii. Zbl 0493.28007
Cornfeld, I. P.; Fomin, S. V.; Sinai, Ya. G.
367
1982
Introductory real analysis. Transl. and ed. by Richard A. Silverman. Zbl 0213.07305
Kolmogorov, A. N.; Fomin, S. V.
229
1970
Optimal control. (Optimal’noe upravlenie). Zbl 0516.49002
Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V.
191
1979
Elements of the theory of functions and functional analysis. (Ehlementy teorii funktsij i funktsional’nogo analiza). 5th ed. With a supplement ”Banach algebras” by V. M. Tikhomirov. Zbl 0501.46002
Kolmogorov, A. N.; Fomin, S. V.
125
1981
Calculus of variations. Transl. from the Russian and edited by Richard A. Silverman. Reprint of the 1963 original. Zbl 0964.49001
Gelfand, I. M.; Fomin, S. V.
94
2000
Elements of the theory of functions and functional analysis. Vol. 2: Measure. The Lebesgue integral. Hilbert space. Transl. from the first (1960) Russian ed. by Hyman Kamel and Korace Komm. Zbl 0103.08801
Kolmogorov, A. N.; Fomin, S. V.
85
1961
Elements of the theory of functions and functional analysis. Textbook. (Ehlementy teorii funktsij i funktsional’nogo analiza. Uchebnik). 6th ed., rev. (Ehlementy teorii funktsij i funktsional’nogo analiza. Uchebnik.) Zbl 0672.46001
Kolmogorov, A. N.; Fomin, S. V.
83
1989
Elements of the theory of functions and of functional analysis. II: Measure, Lebesgue integral, Hilbert space. (Ѐлементы теории функций и функционального анализа. Выпуск. II: Мера, интеграл Лебеча, Гильбертого пространство) (Elemente der Funktionentheorie und der Funktionalanalysis. Band II: Maß, Lebesguesches Integral, Hilbertscher Raum.) Zbl 0090.08702
Kolmogorov, A. N.; Fomin, S. V.
72
1960
Optimal control. Transl. from the Russian by V. M. Volosov. Zbl 0689.49001
Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V.
67
1987
Extensions of topological spaces. Zbl 0061.39601
Fomin, S.
45
1943
Generalized functions and differential equations in linear spaces. I: Differentiable measures. Zbl 0234.28005
Averbukh, V. I.; Smolyanov, O. G.; Fomin, S. V.
33
1971
Measures on linear topological spaces. Zbl 0364.28010
Smolyanov, O. G.; Fomin, S. V.
32
1976
Éléments de la théorie des fonctions et de l’analyse fonctionnelle. Avec un complement ’Algèbres de Banach’ par V. M. Tikhomirov. Traduit du russe par Michel Dragnev. Zbl 0299.46001
Kolmogorov, A.; Fomine, S.
18
1974
The method of centred systems in the theory of topological spaces. Zbl 0171.21304
Iliadis, S.; Fomin, S.
18
1966
Geodesic flows on manifolds of constant negative curvature. Zbl 0066.36101
Gel’fand, I. M.; Fomin, S. V.
14
1955
Ergodic theory. (Ehrgodicheskaya teoriya). Zbl 0508.28008
Kornfel’d, I. P.; Sinaj, Ya. G.; Fomin, S. V.
13
1980
Multiple integrals, field theory and series. An advanced course in higher mathematics. Translated from the Russian by V. M. Volosov. Zbl 0267.00004
Budak, B. M.; Fomin, S. V.
12
1973
Generalized measures in function spaces. Zbl 0141.14802
Daletskij, Yu. L.; Fomin, S. V.
12
1965
Measures and differential equations in infinite dimensional spaces. (Mery i differentsial’nye uravneniya v beskonechnomernykh prostranstvakh). Zbl 0536.46031
Daletskij, Yu. L.; Fomin, S. V.
10
1983
Measures and differential equations in infinite-dimensional space. Zbl 0753.46027
Daletskij, Yu. L.; Fomin, S. V.
9
1991
Verallgemeinerte Funktionen und Differentialgleichungen in linearen Räumen. Zbl 0247.46055
Averbukh, V. I.; Smolyanov, O. G.; Fomin, S. V.
9
1972
Über Maße, die bezüglich einer gewissen Transformationsgruppe invariant sind. Zbl 0037.07501
Fomin, S. V.
8
1950
The theoretical fundamentals of functions and mathematical functional analysis. Transl. from the Russian by Ibrāhīm Maḥmūd Shūshah. Zbl 0761.46001
Kolmogorov, A. N.; Fomin, S. V.
6
1988
Reelle Funktionen und Funktionalanalysis. Mit einem Anhang ’Banachsche Algebren’ von V. M. Tichomirov. Übersetzung aus dem Russischen von D. Freitag, H. Palme und B. Stöckert. Wissenschaftliche Redaktion: H. Triebel. Zbl 0299.46002
Kolmogorov, A. N.; Fomin, S. V.
6
1975
Continuous direct sums of Hilbert spaces and some of their applications. Zbl 0077.10204
Naĭmark, M. A.; Fomin, S. V.
6
1957
Differenzierbare Maße in linearen Räumen. Zbl 0177.18603
Fomin, S. V.
6
1968
Continuous direct sums of Hilbert spaces and some of their applications. Zbl 0066.09501
Naĭmark, M. A.; Fomin, S. V.
6
1955
Generalized functions and differential equations in linear spaces. I: Differentiable measures. Zbl 0295.28005
Averbukh, V. I.; Smolyanov, O. G.; Fomin, S. V.
4
1974
Finite invariant measures in the flows. Zbl 0063.01405
Fomin, S.
4
1943
Über einige neue Probleme und Ergebnisse in der nichtlinearen Funktionalanalysis. Zbl 0238.47045
Fomin, S. V.
3
1970
Elements of the theory of functions and functional analysis. (Elementos da teoria das funcoes e de analise funcional). Transl. from the Russian by M. Dombrovsky. Zbl 0501.46001
Kolmogorov, A. N.; Fomin, S. V.
2
1982
Generalized functions and differential equations in linear spaces. II: Differential operators and their Fourier transforms. Zbl 0294.46031
Averbukh, V. I.; Smolyanov, O. G.; Fomin, S. V.
2
1975
Elements of the theory of functions and functional analysis. 3rd ed. 3ème éd. (Éléments de la théorie des fonctions et de l’analyse fonctionnelle. 3ème éd. Traduit du russe par Michel Dragnev.) Zbl 0932.46001
Kolmogorov, A. N.; Fomin, S. V.
2
1994
Pavel Sergeevich Aleksandrov (zum siebzigsten Geburtstag und zum fünfzigsten Jahr seiner wissenschaftlichen Tätigkeit). Zbl 0147.24404
Kolmogorov, A. N.; Lyusternik, L. A.; Smirnov, Yu. M.; Tikhonov, A. N.; Fomin, S. V.
2
1966
Elemente der Theorie der Funktionen und der Funktionalanalysis. 2., überarb. und erg. Aufl. Zbl 0167.42101
Kolmogorov, A. N.; Fomin, S. V.
2
1968
Über periodische Untergruppen der unendlichen Abelschen Gruppen. Zbl 0018.01104
Fomin, S.
2
1937
Differential equations for distributions in infinite dimensional spaces. Zbl 0415.35004
Daletskij, Yu. L.; Fomin, S. V.
1
1978
On the connection between proximity spaces and the bicompact extensions of completely regular spaces. Zbl 0086.15703
Fomin, S. V.
1
1958
Generalized measures in Hilbert space and Kolmogorov’s forward equation. Zbl 0266.46037
Daletskij, Yu. L.; Fomin, S. V.
1
1972
International congress of mathematicians in Amsterdam 1954. Survey lectures. Translated from the English and French. (Международный математический конгресс в Амстердаме 1954. Обзорные Доклады.) Zbl 0096.24101
1
1961
Izrail’ Moiseevich Gel’fand. (On his fiftieth birthday.). Zbl 0125.00413
Vishik, M. I.; Kolmogorov, A. N.; Fomin, S. V.; Shilov, G. E.
1
1964
Mehrfache Integrale und Reihen. Zbl 0136.03204
Budak, B. M.; Fomin, S. V.
1
1965
Finite measures invariant under flows. Zbl 0181.32901
Fomin, S.
1
1943
Über dynamische Systeme mit reinem Punktspektrum. Zbl 0045.38803
Fomin, S. V.
1
1951
Geodätische Strömungen auf Mannigfaltigkeiten konstanter negativer Krümmung. Zbl 0048.09203
Gel’fand, I. M.; Fomin, S. V.
1
1952
Calculus of variations. Transl. from the Russian and edited by Richard A. Silverman. Reprint of the 1963 original. Zbl 0964.49001
Gelfand, I. M.; Fomin, S. V.
94
2000
Elements of the theory of functions and functional analysis. 3rd ed. 3ème éd. (Éléments de la théorie des fonctions et de l’analyse fonctionnelle. 3ème éd. Traduit du russe par Michel Dragnev.) Zbl 0932.46001
Kolmogorov, A. N.; Fomin, S. V.
2
1994
Measures and differential equations in infinite-dimensional space. Zbl 0753.46027
Daletskij, Yu. L.; Fomin, S. V.
9
1991
Elements of the theory of functions and functional analysis. Textbook. (Ehlementy teorii funktsij i funktsional’nogo analiza. Uchebnik). 6th ed., rev. (Ehlementy teorii funktsij i funktsional’nogo analiza. Uchebnik.) Zbl 0672.46001
Kolmogorov, A. N.; Fomin, S. V.
83
1989
The theoretical fundamentals of functions and mathematical functional analysis. Transl. from the Russian by Ibrāhīm Maḥmūd Shūshah. Zbl 0761.46001
Kolmogorov, A. N.; Fomin, S. V.
6
1988
Optimal control. Transl. from the Russian by V. M. Volosov. Zbl 0689.49001
Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V.
67
1987
Measures and differential equations in infinite dimensional spaces. (Mery i differentsial’nye uravneniya v beskonechnomernykh prostranstvakh). Zbl 0536.46031
Daletskij, Yu. L.; Fomin, S. V.
10
1983
Ergodic theory. Transl. from the Russian by A. B. Sossinskii. Zbl 0493.28007
Cornfeld, I. P.; Fomin, S. V.; Sinai, Ya. G.
367
1982
Elements of the theory of functions and functional analysis. (Elementos da teoria das funcoes e de analise funcional). Transl. from the Russian by M. Dombrovsky. Zbl 0501.46001
Kolmogorov, A. N.; Fomin, S. V.
2
1982
Elements of the theory of functions and functional analysis. (Ehlementy teorii funktsij i funktsional’nogo analiza). 5th ed. With a supplement ”Banach algebras” by V. M. Tikhomirov. Zbl 0501.46002
Kolmogorov, A. N.; Fomin, S. V.
125
1981
Ergodic theory. (Ehrgodicheskaya teoriya). Zbl 0508.28008
Kornfel’d, I. P.; Sinaj, Ya. G.; Fomin, S. V.
13
1980
Optimal control. (Optimal’noe upravlenie). Zbl 0516.49002
Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V.
191
1979
Differential equations for distributions in infinite dimensional spaces. Zbl 0415.35004
Daletskij, Yu. L.; Fomin, S. V.
1
1978
Measures on linear topological spaces. Zbl 0364.28010
Smolyanov, O. G.; Fomin, S. V.
32
1976
Reelle Funktionen und Funktionalanalysis. Mit einem Anhang ’Banachsche Algebren’ von V. M. Tichomirov. Übersetzung aus dem Russischen von D. Freitag, H. Palme und B. Stöckert. Wissenschaftliche Redaktion: H. Triebel. Zbl 0299.46002
Kolmogorov, A. N.; Fomin, S. V.
6
1975
Generalized functions and differential equations in linear spaces. II: Differential operators and their Fourier transforms. Zbl 0294.46031
Averbukh, V. I.; Smolyanov, O. G.; Fomin, S. V.
2
1975
Éléments de la théorie des fonctions et de l’analyse fonctionnelle. Avec un complement ’Algèbres de Banach’ par V. M. Tikhomirov. Traduit du russe par Michel Dragnev. Zbl 0299.46001
Kolmogorov, A.; Fomine, S.
18
1974
Generalized functions and differential equations in linear spaces. I: Differentiable measures. Zbl 0295.28005
Averbukh, V. I.; Smolyanov, O. G.; Fomin, S. V.
4
1974
Multiple integrals, field theory and series. An advanced course in higher mathematics. Translated from the Russian by V. M. Volosov. Zbl 0267.00004
Budak, B. M.; Fomin, S. V.
12
1973
Elements of the theory of functions and functional analysis. 3rd rev. ed. (Ѐлементы теории функций и функционального анализа.) Zbl 0235.46001
Kolmogorov, A. N.; Fomin, S. V.
410
1972
Verallgemeinerte Funktionen und Differentialgleichungen in linearen Räumen. Zbl 0247.46055
Averbukh, V. I.; Smolyanov, O. G.; Fomin, S. V.
9
1972
Generalized measures in Hilbert space and Kolmogorov’s forward equation. Zbl 0266.46037
Daletskij, Yu. L.; Fomin, S. V.
1
1972
Generalized functions and differential equations in linear spaces. I: Differentiable measures. Zbl 0234.28005
Averbukh, V. I.; Smolyanov, O. G.; Fomin, S. V.
33
1971
Introductory real analysis. Transl. and ed. by Richard A. Silverman. Zbl 0213.07305
Kolmogorov, A. N.; Fomin, S. V.
229
1970
Über einige neue Probleme und Ergebnisse in der nichtlinearen Funktionalanalysis. Zbl 0238.47045
Fomin, S. V.
3
1970
Differenzierbare Maße in linearen Räumen. Zbl 0177.18603
Fomin, S. V.
6
1968
Elemente der Theorie der Funktionen und der Funktionalanalysis. 2., überarb. und erg. Aufl. Zbl 0167.42101
Kolmogorov, A. N.; Fomin, S. V.
2
1968
The method of centred systems in the theory of topological spaces. Zbl 0171.21304
Iliadis, S.; Fomin, S.
18
1966
Pavel Sergeevich Aleksandrov (zum siebzigsten Geburtstag und zum fünfzigsten Jahr seiner wissenschaftlichen Tätigkeit). Zbl 0147.24404
Kolmogorov, A. N.; Lyusternik, L. A.; Smirnov, Yu. M.; Tikhonov, A. N.; Fomin, S. V.
2
1966
Calculus of variations. Zbl 0127.05402
Gelfand, I. M.; Fomin, S. V.
376
1965
Generalized measures in function spaces. Zbl 0141.14802
Daletskij, Yu. L.; Fomin, S. V.
12
1965
Mehrfache Integrale und Reihen. Zbl 0136.03204
Budak, B. M.; Fomin, S. V.
1
1965
Izrail’ Moiseevich Gel’fand. (On his fiftieth birthday.). Zbl 0125.00413
Vishik, M. I.; Kolmogorov, A. N.; Fomin, S. V.; Shilov, G. E.
1
1964
Elements of the theory of functions and functional analysis. Vol. 2: Measure. The Lebesgue integral. Hilbert space. Transl. from the first (1960) Russian ed. by Hyman Kamel and Korace Komm. Zbl 0103.08801
Kolmogorov, A. N.; Fomin, S. V.
85
1961
International congress of mathematicians in Amsterdam 1954. Survey lectures. Translated from the English and French. (Международный математический конгресс в Амстердаме 1954. Обзорные Доклады.) Zbl 0096.24101
1
1961
Elements of the theory of functions and of functional analysis. II: Measure, Lebesgue integral, Hilbert space. (Ѐлементы теории функций и функционального анализа. Выпуск. II: Мера, интеграл Лебеча, Гильбертого пространство) (Elemente der Funktionentheorie und der Funktionalanalysis. Band II: Maß, Lebesguesches Integral, Hilbertscher Raum.) Zbl 0090.08702
Kolmogorov, A. N.; Fomin, S. V.
72
1960
On the connection between proximity spaces and the bicompact extensions of completely regular spaces. Zbl 0086.15703
Fomin, S. V.
1
1958
Continuous direct sums of Hilbert spaces and some of their applications. Zbl 0077.10204
Naĭmark, M. A.; Fomin, S. V.
6
1957
Geodesic flows on manifolds of constant negative curvature. Zbl 0066.36101
Gel’fand, I. M.; Fomin, S. V.
14
1955
Continuous direct sums of Hilbert spaces and some of their applications. Zbl 0066.09501
Naĭmark, M. A.; Fomin, S. V.
6
1955
Geodätische Strömungen auf Mannigfaltigkeiten konstanter negativer Krümmung. Zbl 0048.09203
Gel’fand, I. M.; Fomin, S. V.
1
1952
Über dynamische Systeme mit reinem Punktspektrum. Zbl 0045.38803
Fomin, S. V.
1
1951
Über Maße, die bezüglich einer gewissen Transformationsgruppe invariant sind. Zbl 0037.07501
Fomin, S. V.
8
1950
Extensions of topological spaces. Zbl 0061.39601
Fomin, S.
45
1943
Finite invariant measures in the flows. Zbl 0063.01405
Fomin, S.
4
1943
Finite measures invariant under flows. Zbl 0181.32901
Fomin, S.
1
1943
Über periodische Untergruppen der unendlichen Abelschen Gruppen. Zbl 0018.01104
Fomin, S.
2
1937
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Cited in 466 Serials

113 Mathematical Notes
90 Journal of Mathematical Sciences (New York)
81 Journal of Mathematical Analysis and Applications
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45 Journal of Applied Mathematics and Mechanics
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16 Journal of Mathematical Physics
16 Stochastic Processes and their Applications
15 Archive for Rational Mechanics and Analysis
15 Chaos, Solitons and Fractals
15 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
14 Journal of Computer and Systems Sciences International
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13 Journal of Statistical Physics
13 Journal of Computational and Applied Mathematics
12 Physica A
12 Fuzzy Sets and Systems
12 Journal of Mathematical Economics
11 Journal of Computational Physics
11 Automatica
11 Cybernetics
11 Journal of Elasticity
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9 International Journal of Engineering Science
9 Reports on Mathematical Physics
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9 Topology and its Applications
9 Computational Mathematics and Modeling
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5 Physics Letters. B
5 Prikladnaya Matematika i Mekhanika
5 Inventiones Mathematicae
5 Mathematica Slovaca
5 Numerical Functional Analysis and Optimization
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Theoretical Computer Science
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Neural Computation
5 Games and Economic Behavior
5 European Journal of Operational Research
5 International Journal of Computer Mathematics
5 Journal of Dynamics and Differential Equations
5 Russian Journal of Mathematical Physics
5 Mathematics and Mechanics of Solids
...and 366 more Serials
all top 5

Cited in 58 Fields

371 Calculus of variations and optimal control; optimization (49-XX)
331 Partial differential equations (35-XX)
310 Dynamical systems and ergodic theory (37-XX)
244 Probability theory and stochastic processes (60-XX)
212 Ordinary differential equations (34-XX)
180 Systems theory; control (93-XX)
175 Numerical analysis (65-XX)
165 Operator theory (47-XX)
136 Functional analysis (46-XX)
131 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
118 Measure and integration (28-XX)
113 Mechanics of deformable solids (74-XX)
111 Mechanics of particles and systems (70-XX)
108 Operations research, mathematical programming (90-XX)
98 Integral equations (45-XX)
97 General topology (54-XX)
93 Quantum theory (81-XX)
92 Fluid mechanics (76-XX)
86 Real functions (26-XX)
83 Statistics (62-XX)
68 Statistical mechanics, structure of matter (82-XX)
64 Global analysis, analysis on manifolds (58-XX)
57 Differential geometry (53-XX)
55 Harmonic analysis on Euclidean spaces (42-XX)
54 Computer science (68-XX)
49 Difference and functional equations (39-XX)
49 Biology and other natural sciences (92-XX)
40 Approximations and expansions (41-XX)
34 Number theory (11-XX)
31 Functions of a complex variable (30-XX)
29 Optics, electromagnetic theory (78-XX)
26 Information and communication theory, circuits (94-XX)
23 Topological groups, Lie groups (22-XX)
22 Special functions (33-XX)
20 Convex and discrete geometry (52-XX)
16 Several complex variables and analytic spaces (32-XX)
15 Abstract harmonic analysis (43-XX)
14 Integral transforms, operational calculus (44-XX)
14 Manifolds and cell complexes (57-XX)
14 Relativity and gravitational theory (83-XX)
14 Geophysics (86-XX)
12 Combinatorics (05-XX)
11 Potential theory (31-XX)
11 Classical thermodynamics, heat transfer (80-XX)
10 General and overarching topics; collections (00-XX)
10 History and biography (01-XX)
10 Mathematical logic and foundations (03-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Group theory and generalizations (20-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
5 Algebraic geometry (14-XX)
5 Geometry (51-XX)
3 Nonassociative rings and algebras (17-XX)
3 Category theory; homological algebra (18-XX)
1 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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