Edit Profile (opens in new tab) Shilov, Georgiĭ Evgen’evich Co-Author Distance Author ID: shilov.georgij-evgenevich Published as: Shilov, G. E.; Shilov, G.; Schilow, G. E.; Chilov, G.; Šilov, G.; Shilov, Georgij E.; Chilov, G. E.; Shilov, Georgiĭ Evgenevich; Shilov, Georgij Evgenevich; Chilow, G. E. more...less External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 149 Publications since 1939, including 55 Books 3 Contributions as Editor · 1 Further Contribution Biographic References: 6 Publications Co-Authors: 36 Co-Authors with 58 Joint Publications 1,257 Co-Co-Authors all top 5 Co-Authors 90 single-authored 31 Gel’fand, Israil’ Moiseevich 5 Kostyuchenko, Anatolii Gordeevich 5 Raĭkov, Dmitriĭ Abramovich 4 Gurevich, B. L. 4 Vishik, Marko Iosifovich 2 Bogolyubov, Nikolaĭ Nikolaevich 2 Boltyanskij, Vladimir Grigor’evich 2 Dikopolov, G. V. 2 Fomin, Sergeĭ Vasil’evich 2 Gohberg, Israel 2 Golovin, Oleg Nikolaevich 2 Kronrod, Aleksandr Semenovich 2 Kurosh, Aleksandr Gennad’evich 2 Landis, Evgenii Mikhailovich 2 Levitan, Boris Moiseevich 2 Lopatyns’kyĭ, Yaroslav Borysovych 2 Lyusternik, Lazar’ Aronovich 2 Silverman, Richard A. 2 Sobolev, Sergeĭ L’vovich 2 Zhislin, Grigoriĭ M. 1 Aleksandrov, Pavel Sergeevich 1 Bityutskov, V. I. 1 Dynkin, Evgeniĭ Borisovich 1 Fan Dyk Tin’ 1 Gurfinkel’, V. S. 1 Helemskii, Alexander Ya. 1 Kahane, Jean-Pierre 1 Katsiveli, Georgij 1 Kolmogorov, Andreĭ Nikolaevich 1 Kreĭn, Mark Grigor’evich 1 Lévy, Paul 1 Lyubich, Yuriĭ Il’ich 1 Majkov, E. V. 1 Malliavin, Paul 1 Nemirovski, Arkadi S. 1 Oleĭnik, Ol’ga Arsen’evna 1 Petrovskiĭ, Ivan Georgievich 1 Polishchuk, Efim Mikhailovich 1 Shor, L. A. 1 Sinaĭ, Yakov Grigor’evich 1 Uspenskiĭ, Vladimir Andreevich 1 Vilenkin, Naum Yakovlevich 1 Yushkevich, Adol’f Pavlovich all top 5 Serials 19 Uspekhi Matematicheskikh Nauk [N. S.] 13 Translations. Series 2. American Mathematical Society 8 Russian Mathematical Surveys 7 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 6 Matematicheskiĭ Sbornik. Novaya Seriya 6 Doklady Akademii Nauk SSSR. Novaya Seriya 4 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 4 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 3 Doklady Akademii Nauk SSSR 3 Hochschulbücher für Mathematik 2 Moscow University Mathematics Bulletin 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Istoriko-Matematicheskie Issledovaniya 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Recueil Mathématique. Nouvelle Série 2 Dover Books on Advanced Mathematics 1 Mathematical Notes 1 Functional Analysis and its Applications 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mathematics of the USSR, Sbornik all top 5 Fields 31 Functional analysis (46-XX) 19 Real functions (26-XX) 13 History and biography (01-XX) 12 General and overarching topics; collections (00-XX) 11 Partial differential equations (35-XX) 10 Operator theory (47-XX) 7 Abstract harmonic analysis (43-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 1,819 times in 1,709 Documents Cited by ▼ Year ▼ Generalized functions. Vol. I: Properties and operations. Translated by E. Saletan. Zbl 0115.33101 Gel’fand, I. M.; Shilov, G. E. 584 1964 Generalized functions. Vol. 2: Spaces of fundamental and generalized functions. Zbl 0159.18301 Gel’fand, I. M.; Shilov, G. E. 179 1968 Generalized functions. Vol. 2. Spaces of fundamental and generalized functions. (Обобщенные функций. Выпуск 2. Пространства основных и обобщенных функций.) Zbl 0091.11103 Gel’fand, I. M.; Shilov, G. E. 120 1958 Generalized functions. Vol. 1. Generalized functions and operations on them. 2nd ed. (Обобщенные функции. Выпуск 1. Обобщенные функции и действија над ними.) Zbl 0091.11102 Gel’fand, I. M.; Shilov, G. E. 83 1959 Mathematical analysis. A special cours. Translated by J.D.Davis. English translation edited by D.A.R.Wallace. Zbl 0137.26203 Shilov, G. E. 76 1965 Generalized functions. Vol. 3. Some questions in the theory of differential equations. (Обобщенные функций. Выпуск 3. Некоторые вопросы теории дифференциальных уравнений.) Zbl 0091.11104 Gel’fand, I. M.; Shilov, G. E. 57 1958 Generalized functions and partial differential equations. (Mathematics and Its Applications. Vol. 7). Zbl 0177.36302 Shilov, G. E. 57 1968 Les distributions. Zbl 0115.10102 Guelfand, I. M.; Chilov, G. E. 45 1962 Generalized functions. Vol. 3. Theory of differential equations. Translated by Meinhard E. Mayer. Zbl 0355.46017 Gel’fand, I. M.; Shilov, G. E. 45 1967 Verallgemeinerte Funktionen (Distributionen). I: Verallgemeinerte Funktionen und das Rechnen mit ihnen. Zbl 0122.11401 Gelfand, I. M.; Schilow, G. E. 30 1960 Commutative normed rings. Zbl 0063.01567 Gel’fand, I. M.; Raĭkov, D. A.; Shilov, G. E. 27 1946 Commutative normed rings. (Коммутативные нормированные кольца.) Zbl 0134.32102 Gel’fand, I. M.; Raĭkov, D. A.; Shilov, G. E. 27 1960 Integral, measure and derivative: a unified approach. Zbl 0138.27501 Shilov, G. E.; Gurevich, B. L. 26 1966 Über verschiedene Methoden der Einführung der Topologie in die Menge der maximalen Ideale eines normierten Ringes. JFM 67.0407.01 Gelfand, I.; Šilov, G. 24 1941 On the decomposition of a commutative normed ring into a direct sum of ideals. Zbl 0066.36103 Shilov, G. E. 23 1955 Mathematical analysis. Second special course. (Matematicheskij analiz. Vtoroj spetsial’nyj kurs). 2nd ed., rev. Zbl 0591.46030 Shilov, G. E. 22 1984 Analysis. Finite-dimensional linear spaces. (Matematicheskij analiz. Konechnomernye linejnye prostranstva.). Zbl 0226.15001 Shilov, G. E. 19 1969 Fourier transforms of rapidly increasing functions and questions of the uniqueness of the solution of a Cauchy problem. (Fouriertransformationen schnell wachsender Funktionen und Eindeutigkeitsfragen des Cauchyschen Problems.) Zbl 0052.11605 Gel’fand, I. M.; Shilov, G. E. 19 1953 Verallgemeinerte Funktionen (Distributionen). II: Lineare topologische Räume. Räume von Grundfunktionen und verallgemeinerten Funktionen. Zbl 0133.37502 Gelfand, I. M.; Schilow, G. E. 16 1962 On the decomposition of a commutative normed ring into a direct sum of ideals. Zbl 0052.34203 Shilov, G. E. 16 1953 Linear algebra. Translated and edited by Richard A. Silverman. Revised English edition. Zbl 0218.15003 Shilov, G. E. 15 1971 Integral, measure and derivative: a unified approach. Rev. Engl. ed. Translated from Russian and edited by Richard A. Silverman. Zbl 0391.28007 Shilov, G. E.; Gurevich, B. L. 15 1977 Generalized functions. Vol. 1: Properties and operations. Translated from the Russian by E. Saletan. Reprint of the 1964 original published by Academic Press. Zbl 1339.01006 Gel’fand, I. M.; Shilov, G. E. 15 2016 An analogue of a theorem of Laurent-Schwartz. Zbl 0179.14501 Shilov, G. E. 14 1967 On the extension of maximal ideals. JFM 66.0108.03 Šilov, G. 13 1940 On some questions of analysis in Hilbert space. I. Zbl 0169.18803 Shilov, G. E. 13 1967 Analysis. Special course. (Математический анализ. Специал’ный курс.) Zbl 0097.03603 Shilov, G. E. 12 1960 Kommutative normierte Algebren. Zbl 0134.32103 Gelfand, I. M.; Raikow, D. A.; Schilow, G. E. 10 1964 Integral, measure and derivation. General theory. 2., rev. ed. (Интеграл, мера и производная. Общая теория.) Zbl 0163.05702 Shilov, G. E.; Gurevich, B. L. 10 1967 On normed rings possessing one generator. Zbl 0032.28302 Shilov, G. 10 1947 Analyse mathématique. Fonctions de plusieurs variables réelles. 1ere et 2e parties. Traduit du russe par Vitali Kharine. Zbl 0317.26011 Chilov, G. 10 1975 Well-posed boundary problems for partial differential equations on a half-space. (Über korrekte Randwertaufgaben für partielle Differentialgleichungen im Halbraum.) Zbl 0093.28801 Dikopolov, G. V.; Shilov, G. E. 9 1960 Les anneaux normés commutatifs. Avec un appendice par J. P. Kahane et P. Malliavin. Traduit du russe par Jean Luc et Myriam Verley. Zbl 0134.32104 Gelfand, I. M.; Raikov, D. A.; Chilow, G. E. 8 1964 Integral, Maß und Ableitung auf linearen Räumen. Zbl 0162.19002 Shilov, G. E.; Fan Dyk Tin’ 8 1967 Analysis. Funktionen einer Variablen. Teil 3. Lehrbuch. (Математическиĭ анализ. Функции одного переменного. Частъ 3.) Zbl 0314.00003 Shilov, G. E. 8 1970 Quelques applications de la théorie des fonctions généralisées. Zbl 0075.28501 Gel’fand, I. M.; Shilov, G. E. 7 1956 Ideals and subrings of the ring of continuous functions. Zbl 0021.41102 Shilov, G. 7 1939 Mathematical analysis. Vol. 2: Elementary functional analysis. Revised English edition translated and edited by Richard A. Silverman. Zbl 0306.46001 Shilov, Georgij E. 7 1974 Elementary real and complex analysis. Rev. Engl. ed. transl. from the Russian and ed. by Richard A. Silverman. Corr. reprint of the 1973 Engl. ed. Zbl 0866.26001 Shilov, G. E. 7 1996 On rings of functions with uniform convergence. Zbl 0045.21204 Shilov, G. E. 7 1951 Generalized functions. Vol. 2: Spaces of fundamental and generalized functions. Translated from the Russian by Morris D. Friedman, Amiel Feinstein and Christian P. Peltzer. Reprint of the 1968 original published by Academic Press. Zbl 1339.01007 Gel’fand, I. M.; Shilov, G. E. 7 2016 Fourier transforms of rapidly increasing functions and questions of uniqueness of the solution of Cauchy’s problem. Zbl 0077.10401 Gel’fand, I. M.; Shilov, G. E. 6 1957 An introduction to the theory of linear spaces. Translated from the Russian by Richard A. Silverman. Zbl 0114.25101 Shilov, G. E. 6 1963 Integration in infinite-dimensional spaces and the Wiener integral. Zbl 0132.10902 Shilov, G. E. 6 1963 Les distributions. Tome II: Espaces fondamentaux. Traduit du russe par S. Vasilach. Zbl 0143.36203 Guelfand, I. M.; Chilov, G. E. 6 1964 Certain solved and unsolved problems in the theory of functions in Hilbert space. Zbl 0245.46078 Shilov, G. E. 6 1972 Commutative normed rings. Zbl 0201.45703 Gel’fand, I. M.; Raĭkov, D. A.; Shilov, G. E. 6 1967 Homogeneous rings of functions. Zbl 0054.04804 Shilov, G. E. 5 1951 Jacques Hadamard and the creation of functional analysis. Zbl 0125.00401 Shilov, G. E. 5 1964 Verallgemeinerte Funktionen (Distributionen). III: Einige Fragen zur Theorie der Differentialgleichungen. Zbl 0133.37503 Gelfand, I. M.; Schilow, G. E. 5 1964 Ideals and subrings of the ring of continuous functions. JFM 65.0500.02 Šilov, G. 4 1939 Über ein Problem der Quasianalytizität. Zbl 0064.05401 Shilov, G. E. 4 1955 Über verschiedene Methoden der Einführung der Topologie in die Menge der maximalen Ideale eines normierten Ringes. Zbl 0024.32101 Gel’fand, I. M.; Shilov, G. E. 4 1941 Homogeneous rings of functions. Zbl 0053.08401 Shilov, G. E. 4 1951 On the Fourier coefficient of a class of continuous functions. Zbl 0063.07031 Shilov, G. E. 3 1942 On the extension of maximal ideals. Zbl 0024.32001 Shilov, G. 3 1940 Zur Geschichte der Analysis auf unendlichdimensionalen Räumen. Zbl 0295.01031 Polishchuk, E. M.; Shilov, G. E. 3 1974 Sur la théorie des idéaux dans les anneaux normés de fonctions. JFM 66.0108.02 Šilov, G. 2 1940 Analytic functions in a normed ring. Zbl 0127.33101 Shilov, G. 2 1963 Les distributions. Tome III: Théorie des équations différentielles. Traduit du russe par S. Vasilach. Zbl 0143.36204 Guelfand, I. M.; Chilov, G. E. 2 1965 Local properties of solutions of partial differential equations with constant coefficients. Zbl 0148.34102 Shilov, G. E. 2 1964 Über Randwertaufgaben in der Viertelebene für eine partielle Differentialgleichung mit konstanten Koeffizienten. Zbl 0154.11102 Shilov, G. E. 2 1961 On some questions of analysis in a Hilbert space. III. Zbl 0169.18901 Shilov, G. E. 2 1969 Über einen Satz von I. M. Gel’fand und seine Verallgemeinerungen. Zbl 0039.33601 Shilov, G. E. 2 1950 Analysis. Funktionen mehrerer reellen Veränderlichen. Teil 1-2. (Matematiceskii analiz. Funkcii neskol’kih vescestvennyh peremennyh. Casti 1-2.) Lehrbuch. Zbl 0278.26003 Shilov, G. E. 2 1972 An introduction to the theory of linear spaces. Translated from the Russian by Richard A. Silverman. Zbl 0287.15002 Shilov, Georgij E. 2 1974 Mathematical analysis. Vol. 1: Elementary real and complex analysis. Revised English edition translated and edited by Richard A. Silverman. Zbl 0301.26003 Shilov, Georgij E. 2 1973 Axiomatic description of Laplace operator for functions on Hilbert space. Zbl 0204.12104 Nemirovskij, A. S.; Shilov, G. E. 2 1969 Generalized functions. Vol. 3. Theory of differential equations. Translated from the Russian by Meinhard E. Mayer. Reprint of the 1967 original published by Academic Press. Zbl 1339.01008 Gel’fand, I. M.; Shilov, G. E. 2 2016 Differentiation of functions: applications to analysis. Foundations of modern analysis. (Differentsirovanie funktsij: prilozheniya k analizu. Osnovy sovremennogo analiza). Zbl 0497.26002 Shilov, G. E. 1 1979 Differentiation of functions: higher derivatives and calculus of variations. Foundations of modern analysis. (Differentsirovanie funktsij: vysshie proizvodnye i variatsionnoe ischislenie. Osnovy sovremennogo analiza). Zbl 0497.26003 Shilov, G. E. 1 1980 Über Bedingungen für Korrektheit des Cauchyschen Problems für Systeme partieller Differentialgleichungen mit konstanten Koeffizienten. Zbl 0066.34104 Shilov, G. E. 1 1955 Analytic functions in a normed ring. Zbl 0094.09402 Shilov, G. E. 1 1960 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 Correct boundary value problems in a half-space for linear partial differential equations with constant coefficients. Zbl 0132.07401 Shilov, G. E. 1 1964 Problèmes concrets d’analyse fonctionnelle. Avec un complément sur les fonctionnelles analytiques par F. Pellegrino. (Конкретные проблемы функционального анализа. С добавлением F. Pellegrino об аналитических функционалах. Translation from the 2nd French ed. by V. S. Berman. Edited by G. E. Shilov.) Zbl 0155.18201 Lévy, P. 1 1967 Verallgemeinerung eines Satzes über die Differentiation einer gleichmäßig konvergenten Folge von Funktionen. Zbl 0037.04403 Shilov, G. E. 1 1950 Die Integralkurven einer homogenen Gleichung erster Ordnung. Zbl 0038.25402 Shilov, G. E. 1 1950 Über stetige Summen endlichdimensionaler Ringe. Zbl 0041.44409 Shilov, G. E. 1 1950 Analyse mathématique. Fonctions d’une variable. 1ere et 2e parties. Traduit du russe par Vitali Kharine. Zbl 0301.26004 Chilov, G. 1 1973 Aleksandr Grigor’evich Sigalov. Obituary. Zbl 0201.00403 Golovin, O. N.; Zhislin, G. M.; Kronrod, A. S.; Landis, E. M.; Lyusternik, L. A.; Shilov, G. E. 1 1970 On measures in linear spaces. Zbl 0203.16902 Shilov, G. E. 1 1966 Generalized functions. Vol. 1: Properties and operations. Translated from the Russian by E. Saletan. Reprint of the 1964 original published by Academic Press. Zbl 1339.01006 Gel’fand, I. M.; Shilov, G. E. 15 2016 Generalized functions. Vol. 2: Spaces of fundamental and generalized functions. Translated from the Russian by Morris D. Friedman, Amiel Feinstein and Christian P. Peltzer. Reprint of the 1968 original published by Academic Press. Zbl 1339.01007 Gel’fand, I. M.; Shilov, G. E. 7 2016 Generalized functions. Vol. 3. Theory of differential equations. Translated from the Russian by Meinhard E. Mayer. Reprint of the 1967 original published by Academic Press. Zbl 1339.01008 Gel’fand, I. M.; Shilov, G. E. 2 2016 Elementary real and complex analysis. Rev. Engl. ed. transl. from the Russian and ed. by Richard A. Silverman. Corr. reprint of the 1973 Engl. ed. Zbl 0866.26001 Shilov, G. E. 7 1996 Mathematical analysis. Second special course. (Matematicheskij analiz. Vtoroj spetsial’nyj kurs). 2nd ed., rev. Zbl 0591.46030 Shilov, G. E. 22 1984 Differentiation of functions: higher derivatives and calculus of variations. Foundations of modern analysis. (Differentsirovanie funktsij: vysshie proizvodnye i variatsionnoe ischislenie. Osnovy sovremennogo analiza). Zbl 0497.26003 Shilov, G. E. 1 1980 Differentiation of functions: applications to analysis. Foundations of modern analysis. (Differentsirovanie funktsij: prilozheniya k analizu. Osnovy sovremennogo analiza). Zbl 0497.26002 Shilov, G. E. 1 1979 Integral, measure and derivative: a unified approach. Rev. Engl. ed. Translated from Russian and edited by Richard A. Silverman. Zbl 0391.28007 Shilov, G. E.; Gurevich, B. L. 15 1977 Analyse mathématique. Fonctions de plusieurs variables réelles. 1ere et 2e parties. Traduit du russe par Vitali Kharine. Zbl 0317.26011 Chilov, G. 10 1975 Mathematical analysis. Vol. 2: Elementary functional analysis. Revised English edition translated and edited by Richard A. Silverman. Zbl 0306.46001 Shilov, Georgij E. 7 1974 Zur Geschichte der Analysis auf unendlichdimensionalen Räumen. Zbl 0295.01031 Polishchuk, E. M.; Shilov, G. E. 3 1974 An introduction to the theory of linear spaces. Translated from the Russian by Richard A. Silverman. Zbl 0287.15002 Shilov, Georgij E. 2 1974 Mathematical analysis. Vol. 1: Elementary real and complex analysis. Revised English edition translated and edited by Richard A. Silverman. Zbl 0301.26003 Shilov, Georgij E. 2 1973 Analyse mathématique. Fonctions d’une variable. 1ere et 2e parties. Traduit du russe par Vitali Kharine. Zbl 0301.26004 Chilov, G. 1 1973 Certain solved and unsolved problems in the theory of functions in Hilbert space. Zbl 0245.46078 Shilov, G. E. 6 1972 Analysis. Funktionen mehrerer reellen Veränderlichen. Teil 1-2. (Matematiceskii analiz. Funkcii neskol’kih vescestvennyh peremennyh. Casti 1-2.) Lehrbuch. Zbl 0278.26003 Shilov, G. E. 2 1972 Linear algebra. Translated and edited by Richard A. Silverman. Revised English edition. Zbl 0218.15003 Shilov, G. E. 15 1971 Analysis. Funktionen einer Variablen. Teil 3. Lehrbuch. (Математическиĭ анализ. Функции одного переменного. Частъ 3.) Zbl 0314.00003 Shilov, G. E. 8 1970 Aleksandr Grigor’evich Sigalov. Obituary. Zbl 0201.00403 Golovin, O. N.; Zhislin, G. M.; Kronrod, A. S.; Landis, E. M.; Lyusternik, L. A.; Shilov, G. E. 1 1970 Analysis. Finite-dimensional linear spaces. (Matematicheskij analiz. Konechnomernye linejnye prostranstva.). Zbl 0226.15001 Shilov, G. E. 19 1969 On some questions of analysis in a Hilbert space. III. Zbl 0169.18901 Shilov, G. E. 2 1969 Axiomatic description of Laplace operator for functions on Hilbert space. Zbl 0204.12104 Nemirovskij, A. S.; Shilov, G. E. 2 1969 Generalized functions. Vol. 2: Spaces of fundamental and generalized functions. Zbl 0159.18301 Gel’fand, I. M.; Shilov, G. E. 179 1968 Generalized functions and partial differential equations. (Mathematics and Its Applications. Vol. 7). Zbl 0177.36302 Shilov, G. E. 57 1968 Generalized functions. Vol. 3. Theory of differential equations. Translated by Meinhard E. Mayer. Zbl 0355.46017 Gel’fand, I. M.; Shilov, G. E. 45 1967 An analogue of a theorem of Laurent-Schwartz. Zbl 0179.14501 Shilov, G. E. 14 1967 On some questions of analysis in Hilbert space. I. Zbl 0169.18803 Shilov, G. E. 13 1967 Integral, measure and derivation. General theory. 2., rev. ed. (Интеграл, мера и производная. Общая теория.) Zbl 0163.05702 Shilov, G. E.; Gurevich, B. L. 10 1967 Integral, Maß und Ableitung auf linearen Räumen. Zbl 0162.19002 Shilov, G. E.; Fan Dyk Tin’ 8 1967 Commutative normed rings. Zbl 0201.45703 Gel’fand, I. M.; Raĭkov, D. A.; Shilov, G. E. 6 1967 Problèmes concrets d’analyse fonctionnelle. Avec un complément sur les fonctionnelles analytiques par F. Pellegrino. (Конкретные проблемы функционального анализа. С добавлением F. Pellegrino об аналитических функционалах. Translation from the 2nd French ed. by V. S. Berman. Edited by G. E. Shilov.) Zbl 0155.18201 Lévy, P. 1 1967 Integral, measure and derivative: a unified approach. Zbl 0138.27501 Shilov, G. E.; Gurevich, B. L. 26 1966 On measures in linear spaces. Zbl 0203.16902 Shilov, G. E. 1 1966 Mathematical analysis. A special cours. Translated by J.D.Davis. English translation edited by D.A.R.Wallace. Zbl 0137.26203 Shilov, G. E. 76 1965 Les distributions. Tome III: Théorie des équations différentielles. Traduit du russe par S. Vasilach. Zbl 0143.36204 Guelfand, I. M.; Chilov, G. E. 2 1965 Generalized functions. Vol. I: Properties and operations. Translated by E. Saletan. Zbl 0115.33101 Gel’fand, I. M.; Shilov, G. E. 584 1964 Kommutative normierte Algebren. Zbl 0134.32103 Gelfand, I. M.; Raikow, D. A.; Schilow, G. E. 10 1964 Les anneaux normés commutatifs. Avec un appendice par J. P. Kahane et P. Malliavin. Traduit du russe par Jean Luc et Myriam Verley. Zbl 0134.32104 Gelfand, I. M.; Raikov, D. A.; Chilow, G. E. 8 1964 Les distributions. Tome II: Espaces fondamentaux. Traduit du russe par S. Vasilach. Zbl 0143.36203 Guelfand, I. M.; Chilov, G. E. 6 1964 Jacques Hadamard and the creation of functional analysis. Zbl 0125.00401 Shilov, G. E. 5 1964 Verallgemeinerte Funktionen (Distributionen). III: Einige Fragen zur Theorie der Differentialgleichungen. Zbl 0133.37503 Gelfand, I. M.; Schilow, G. E. 5 1964 Local properties of solutions of partial differential equations with constant coefficients. Zbl 0148.34102 Shilov, G. E. 2 1964 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 Correct boundary value problems in a half-space for linear partial differential equations with constant coefficients. Zbl 0132.07401 Shilov, G. E. 1 1964 An introduction to the theory of linear spaces. Translated from the Russian by Richard A. Silverman. Zbl 0114.25101 Shilov, G. E. 6 1963 Integration in infinite-dimensional spaces and the Wiener integral. Zbl 0132.10902 Shilov, G. E. 6 1963 Analytic functions in a normed ring. Zbl 0127.33101 Shilov, G. 2 1963 Les distributions. Zbl 0115.10102 Guelfand, I. M.; Chilov, G. E. 45 1962 Verallgemeinerte Funktionen (Distributionen). II: Lineare topologische Räume. Räume von Grundfunktionen und verallgemeinerten Funktionen. Zbl 0133.37502 Gelfand, I. M.; Schilow, G. E. 16 1962 Über Randwertaufgaben in der Viertelebene für eine partielle Differentialgleichung mit konstanten Koeffizienten. Zbl 0154.11102 Shilov, G. E. 2 1961 Verallgemeinerte Funktionen (Distributionen). I: Verallgemeinerte Funktionen und das Rechnen mit ihnen. Zbl 0122.11401 Gelfand, I. M.; Schilow, G. E. 30 1960 Commutative normed rings. (Коммутативные нормированные кольца.) Zbl 0134.32102 Gel’fand, I. M.; Raĭkov, D. A.; Shilov, G. E. 27 1960 Analysis. Special course. (Математический анализ. Специал’ный курс.) Zbl 0097.03603 Shilov, G. E. 12 1960 Well-posed boundary problems for partial differential equations on a half-space. (Über korrekte Randwertaufgaben für partielle Differentialgleichungen im Halbraum.) Zbl 0093.28801 Dikopolov, G. V.; Shilov, G. E. 9 1960 Analytic functions in a normed ring. Zbl 0094.09402 Shilov, G. E. 1 1960 Generalized functions. Vol. 1. Generalized functions and operations on them. 2nd ed. (Обобщенные функции. Выпуск 1. Обобщенные функции и действија над ними.) Zbl 0091.11102 Gel’fand, I. M.; Shilov, G. E. 83 1959 Generalized functions. Vol. 2. Spaces of fundamental and generalized functions. (Обобщенные функций. Выпуск 2. Пространства основных и обобщенных функций.) Zbl 0091.11103 Gel’fand, I. M.; Shilov, G. E. 120 1958 Generalized functions. Vol. 3. Some questions in the theory of differential equations. (Обобщенные функций. Выпуск 3. Некоторые вопросы теории дифференциальных уравнений.) Zbl 0091.11104 Gel’fand, I. M.; Shilov, G. E. 57 1958 Fourier transforms of rapidly increasing functions and questions of uniqueness of the solution of Cauchy’s problem. Zbl 0077.10401 Gel’fand, I. M.; Shilov, G. E. 6 1957 Quelques applications de la théorie des fonctions généralisées. Zbl 0075.28501 Gel’fand, I. M.; Shilov, G. E. 7 1956 On the decomposition of a commutative normed ring into a direct sum of ideals. Zbl 0066.36103 Shilov, G. E. 23 1955 Über ein Problem der Quasianalytizität. Zbl 0064.05401 Shilov, G. E. 4 1955 Über Bedingungen für Korrektheit des Cauchyschen Problems für Systeme partieller Differentialgleichungen mit konstanten Koeffizienten. Zbl 0066.34104 Shilov, G. E. 1 1955 Fourier transforms of rapidly increasing functions and questions of the uniqueness of the solution of a Cauchy problem. (Fouriertransformationen schnell wachsender Funktionen und Eindeutigkeitsfragen des Cauchyschen Problems.) Zbl 0052.11605 Gel’fand, I. M.; Shilov, G. E. 19 1953 On the decomposition of a commutative normed ring into a direct sum of ideals. Zbl 0052.34203 Shilov, G. E. 16 1953 On rings of functions with uniform convergence. Zbl 0045.21204 Shilov, G. E. 7 1951 Homogeneous rings of functions. Zbl 0054.04804 Shilov, G. E. 5 1951 Homogeneous rings of functions. Zbl 0053.08401 Shilov, G. E. 4 1951 Über einen Satz von I. M. Gel’fand und seine Verallgemeinerungen. Zbl 0039.33601 Shilov, G. E. 2 1950 Verallgemeinerung eines Satzes über die Differentiation einer gleichmäßig konvergenten Folge von Funktionen. Zbl 0037.04403 Shilov, G. E. 1 1950 Die Integralkurven einer homogenen Gleichung erster Ordnung. Zbl 0038.25402 Shilov, G. E. 1 1950 Über stetige Summen endlichdimensionaler Ringe. Zbl 0041.44409 Shilov, G. E. 1 1950 On normed rings possessing one generator. Zbl 0032.28302 Shilov, G. 10 1947 Commutative normed rings. Zbl 0063.01567 Gel’fand, I. M.; Raĭkov, D. A.; Shilov, G. E. 27 1946 On the Fourier coefficient of a class of continuous functions. Zbl 0063.07031 Shilov, G. E. 3 1942 Über verschiedene Methoden der Einführung der Topologie in die Menge der maximalen Ideale eines normierten Ringes. JFM 67.0407.01 Gelfand, I.; Šilov, G. 24 1941 Über verschiedene Methoden der Einführung der Topologie in die Menge der maximalen Ideale eines normierten Ringes. Zbl 0024.32101 Gel’fand, I. M.; Shilov, G. E. 4 1941 On the extension of maximal ideals. JFM 66.0108.03 Šilov, G. 13 1940 On the extension of maximal ideals. Zbl 0024.32001 Shilov, G. 3 1940 Sur la théorie des idéaux dans les anneaux normés de fonctions. JFM 66.0108.02 Šilov, G. 2 1940 Ideals and subrings of the ring of continuous functions. Zbl 0021.41102 Shilov, G. 7 1939 Ideals and subrings of the ring of continuous functions. JFM 65.0500.02 Šilov, G. 4 1939 all cited Publications top 5 cited Publications all top 5 Cited by 2,065 Authors 15 Muravnik, Andreĭ Borisovich 15 Toft, Joachim 13 Koldobsky, Alexander L. 11 Özçağ, Emin 10 Lenyuk, M. P. 10 Litovchenko, Vladyslav A. 10 Solov’ev, Mikhaĭl Aleksandrovich 8 Chaus, Nikolaĭ Nikolaevich 8 Li, Chengkuan 8 Wahlberg, Patrik 7 Estrada, Ricardo 7 Fisher, Brian 7 Gil’, Michael Iosif 7 Rocca, Mario C. 7 Willis, John Raymond 6 Bernstein, Joseph 6 Cappiello, Marco 6 Chung, Jaeyoung 6 Horodets’kyi, V. V. 6 Jolevska-Tuneska, Biljana 6 Kobayashi, Toshiyuki 6 Mainardi, Francesco 6 Rubin, Boris 6 Shelkovich, Vladimir M. 6 Sommen, Franciscus 5 Baskakov, Anatoliĭ Grigor’evich 5 El-Sayed, Ahmed Mohamed Ahmed 5 Faddeev, Mikhaĭl Mikhaĭlovich 5 Feller, Mikhail Naumovich 5 Gel’fand, Israil’ Moiseevich 5 Ibragimov, Il’dar Abdullovich 5 Langenbruch, Michael 5 Ørsted, Bent 5 Pavlov, Aleksandr Leonidovich 5 Pilipović, Stevan 5 Rodino, Luigi 5 Smorodina, Natal’ya Vasil’evna 5 Tkacheva, L. A. 5 Wagner, Peter 5 Wiener, Joseph 4 Albeverio, Sergio A. 4 Alpay, Daniel Aron 4 Bogdansky, Yu. V. 4 Chernyshev, G. N. 4 Drozhzhinov, Yuriĭ Nikolaevich 4 Ege, İnci 4 Gorenflo, Rudolf 4 Gorodetskij, V. V. 4 Hanyga, Andrzej 4 Ivanov, Boris Filippovich 4 Kamimoto, Joe 4 Kanwal, Ram Prakash 4 Khrennikov, Andreĭ Yur’evich 4 Kinzebulatov, Damir 4 Kolisnyk, R. S. 4 Lazar, Markus 4 Lopushans’kyi, Andriy Olegovich 4 Martynyuk, Olga V. 4 Maugin, Gérard A. 4 Molchanov, Vladimir Fedorovich 4 Mondal, Shyam Swarup 4 Neyt, Lenny 4 Oberlin, Daniel M. 4 Petryshyn, Roman I. 4 Pravda-Starov, Karel 4 Ramm, Alexander G. 4 Taylor, Joseph L. 4 Triebel, Hans 4 Vindas, Jasson 3 Adán, Alí Guzmán 3 Anastassiou, George Angelos 3 Arens, Richard Friederich 3 Bagarello, Fabio 3 Barros-Neto, José 3 Barthelemy, Jean-Francois M. 3 Bauer, Heinz 3 Berezans’kyĭ, Yuriĭ Makarovych 3 Bezhanov, K. A. 3 Blot, Joël 3 Brychkov, Yury A. 3 Carmichael, Richard D. 3 Cooke, Kenneth L. 3 Debrouwere, Andreas 3 Dimov, Georgi D. 3 dos Santos, António Ferreira 3 Eĭdel’man, Samuïl Davydovych 3 Fan, Dashan 3 Formalskii, Alexander M. 3 Gadella, Manuel 3 Gindikin, Simon Grigorevich 3 Goodman, Roe W. 3 Graham, Colin C. 3 Grübel, Rudolf 3 Gürçay, Haşmet 3 Henkel, Malte 3 Ikramov, Saidkhakim Dododshanovich 3 Jódar Sanchez, Lucas Antonio 3 Johnson, Michael James 3 Katsevich, Alexander I. 3 Kiliçman, Adem ...and 1,965 more Authors all top 5 Cited in 367 Serials 95 Journal of Mathematical Analysis and Applications 66 Ukrainian Mathematical Journal 54 Journal of Mathematical Sciences (New York) 47 Mathematical Notes 47 Journal of Functional Analysis 44 Siberian Mathematical Journal 40 Theoretical and Mathematical Physics 39 Journal of Applied Mathematics and Mechanics 35 Transactions of the American Mathematical Society 34 Functional Analysis and its Applications 29 Proceedings of the American Mathematical Society 28 Advances in Mathematics 27 Journal of Differential Equations 18 Nuclear Physics. B 17 Journal of Soviet Mathematics 17 Annals of Physics 16 Mathematische Annalen 16 Differential Equations 15 Journal of Mathematical Physics 15 Reports on Mathematical Physics 15 Journal of High Energy Physics 14 International Journal of Engineering Science 14 Journal of the Mechanics and Physics of Solids 14 Wave Motion 14 Annales de l’Institut Fourier 14 Applied Mathematics and Computation 14 Journal of Pseudo-Differential Operators and Applications 13 Journal of Approximation Theory 12 Bulletin of the American Mathematical Society 12 Proceedings of the Japan Academy 12 Journal of Physics A: Mathematical and Theoretical 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Duke Mathematical Journal 10 Communications in Mathematical Physics 10 Physics Letters. A 10 Mathematische Zeitschrift 10 PMM, Journal of Applied Mathematics and Mechanics 9 Computers & Mathematics with Applications 9 Journal of Computational Physics 9 Physica A 9 Soviet Applied Mechanics 9 Integral Equations and Operator Theory 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 The Journal of Fourier Analysis and Applications 8 Israel Journal of Mathematics 8 Journal d’Analyse Mathématique 8 Rocky Mountain Journal of Mathematics 8 Chaos, Solitons and Fractals 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 8 Russian Journal of Mathematical Physics 7 Journal of Computational and Applied Mathematics 7 Mathematische Nachrichten 7 Indagationes Mathematicae. New Series 6 Lithuanian Mathematical Journal 6 Czechoslovak Mathematical Journal 6 Journal of Number Theory 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Topology and its Applications 6 Acta Applicandae Mathematicae 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Russian Mathematics 6 Fractional Calculus & Applied Analysis 6 Communications in Nonlinear Science and Numerical Simulation 5 Archive for Rational Mechanics and Analysis 5 International Journal of Theoretical Physics 5 Physics Letters. B 5 Acta Mathematica 5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Archiv der Mathematik 5 Bulletin de la Société Mathématique de France 5 Compositio Mathematica 5 Journal of Multivariate Analysis 5 Probability Theory and Related Fields 5 Computational Mathematics and Mathematical Physics 5 Linear Algebra and its Applications 5 Bulletin des Sciences Mathématiques 5 Engineering Analysis with Boundary Elements 5 Proceedings of the Steklov Institute of Mathematics 5 Journal of Function Spaces 4 Fluid Dynamics 4 Journal of the Franklin Institute 4 Journal of Statistical Physics 4 Arkiv för Matematik 4 Prikladnaya Matematika i Mekhanika 4 Theory of Probability and its Applications 4 International Journal of Mathematics and Mathematical Sciences 4 Proceedings of the Japan Academy. Series A 4 Rendiconti del Seminario Matematico della Università di Padova 4 Tôhoku Mathematical Journal. Second Series 4 Mathematical and Computer Modelling 4 The Journal of Geometric Analysis 4 Vestnik St. Petersburg University. Mathematics 4 Applied and Computational Harmonic Analysis 4 St. Petersburg Mathematical Journal 4 Abstract and Applied Analysis 4 Journal of Applied Mechanics and Technical Physics 4 Lobachevskii Journal of Mathematics 4 Analysis and Applications (Singapore) ...and 267 more Serials all top 5 Cited in 60 Fields 418 Partial differential equations (35-XX) 384 Functional analysis (46-XX) 200 Operator theory (47-XX) 179 Quantum theory (81-XX) 131 Probability theory and stochastic processes (60-XX) 128 Harmonic analysis on Euclidean spaces (42-XX) 114 Mechanics of deformable solids (74-XX) 91 Ordinary differential equations (34-XX) 81 Numerical analysis (65-XX) 78 Integral transforms, operational calculus (44-XX) 63 Integral equations (45-XX) 58 Fluid mechanics (76-XX) 53 Global analysis, analysis on manifolds (58-XX) 52 Approximations and expansions (41-XX) 51 Real functions (26-XX) 50 Functions of a complex variable (30-XX) 48 Abstract harmonic analysis (43-XX) 47 Topological groups, Lie groups (22-XX) 43 Special functions (33-XX) 37 Measure and integration (28-XX) 37 Statistical mechanics, structure of matter (82-XX) 37 Systems theory; control (93-XX) 36 Differential geometry (53-XX) 35 Convex and discrete geometry (52-XX) 32 Number theory (11-XX) 31 Several complex variables and analytic spaces (32-XX) 30 Relativity and gravitational theory (83-XX) 29 Dynamical systems and ergodic theory (37-XX) 29 Optics, electromagnetic theory (78-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 22 Potential theory (31-XX) 22 Statistics (62-XX) 17 Computer science (68-XX) 17 Mechanics of particles and systems (70-XX) 16 General topology (54-XX) 15 Algebraic geometry (14-XX) 15 Nonassociative rings and algebras (17-XX) 14 Difference and functional equations (39-XX) 12 Biology and other natural sciences (92-XX) 12 Information and communication theory, circuits (94-XX) 11 Associative rings and algebras (16-XX) 10 Combinatorics (05-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 History and biography (01-XX) 8 Operations research, mathematical programming (90-XX) 7 Commutative algebra (13-XX) 7 Group theory and generalizations (20-XX) 7 Geophysics (86-XX) 6 Field theory and polynomials (12-XX) 6 Geometry (51-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Category theory; homological algebra (18-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Manifolds and cell complexes (57-XX) 3 Astronomy and astrophysics (85-XX) 2 Sequences, series, summability (40-XX) 1 Mathematical logic and foundations (03-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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