Edit Profile (opens in new tab) Shavgulidze, Eugene T. Co-Author Distance Author ID: shavgulidze.eugene-t Published as: Shavgulidze, E. T.; Shavgulidze, Eugene T.; Shavgulidze, Eugène more...less External Links: MGP · Wikidata Documents Indexed: 47 Publications since 1975, including 3 Books and 1 Additional arXiv Preprint Co-Authors: 16 Co-Authors with 17 Joint Publications 1,540 Co-Co-Authors all top 5 Co-Authors 23 single-authored 15 Smolyanov, Oleg Georgievich 5 Sadovnichiĭ, Viktor Antonovich 2 Albeverio, Sergio A. 2 Bogachev, Vladimir Igorevich 2 Kashin, Boris Sergeevich 2 Khrennikov, Andreĭ Yur’evich 2 Kozlov, Valeriĭ Vasil’evich 2 Maslov, Viktor Pavlovich 2 Stëpin, Anatoliĭ Mikhaĭlovich 2 Tikhomirov, Vladimir Mikhaĭlovich 2 Volovich, Igor’ Vasil’evich 1 Akbarov, Sergei S. 1 Bogatyĭ, Semeon Antonovich 1 Chebotarev, Alexandr M. 1 Chirskiĭ, Vladimir Grigor’evich 1 Gashkov, Sergey B. 1 Kirillov, A. I. 1 Kravtseva, A. K. 1 Panchishkin, Alexei A. 1 Shavgulidze, N. E. 1 Tsar’kov, Igor’ Germanovich 1 Uglanov, Alexey V. 1 Vladimirov, Vasiliĭ Sergeevich all top 5 Serials 8 Doklady Mathematics 4 Functional Analysis and its Applications 4 Russian Journal of Mathematical Physics 3 Moscow University Mathematics Bulletin 3 Russian Mathematical Surveys 3 Soviet Mathematics. Doklady 2 Mathematical Notes 2 Teoriya Veroyatnosteĭ i eë Primeneniya 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Russian Academy of Sciences. Doklady. Mathematics 1 Sbornik: Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Lobachevskii Journal of Mathematics all top 5 Fields 19 Functional analysis (46-XX) 12 Measure and integration (28-XX) 11 Quantum theory (81-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 4 Partial differential equations (35-XX) 3 Topological groups, Lie groups (22-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 67 times in 53 Documents Cited by ▼ Year ▼ Functional integrals. (Kontinual’nye integraly.) Zbl 0746.46043 Smol’yanov, O. G.; Shavgulidze, E. T. 14 1990 Representation of solutions of linear evolution superdifferential equations of second order by functional integrals. Zbl 0706.35119 Smolyanov, O. G.; Shavgulidze, E. T. 12 1990 Some properties of quasi-invariant measures on groups of diffeomorphisms of the circle. Zbl 1072.37503 Shavgulidze, E. T. 11 2000 Infinite-dimensional Schrödinger equations with polynomial potentials and Feynman path integrals. Zbl 1327.81257 Smolyanov, O. G.; Shavgulidze, E. T. 9 2006 On a measure that is quasi-invariant with respect to the action of a group of diffeomorphisms of a finite-dimensional manifold. Zbl 0704.58010 Shavgulidze, E. T. 8 1989 An example of a measure quasi-invariant under the action of the diffeomorphism group of the circle. Zbl 0412.58011 Shavgulidze, E. T. 6 1979 Quasi-invariant measures on groups of diffeomorphisms of Riemannian manifolds. (Mesures quasi-invariantes sur les groupes de difféomorphismes des variétés riemanniennes.) Zbl 0841.58009 Shavgulidze, Eugène 6 1995 Quasiinvariant measures on groups of diffeomorphisms. Zbl 0916.58008 Shavgulidze, E. T. 6 1997 The Fourier transform and pseudodifferential operators in superanalysis. Zbl 0699.47036 Smolyanov, O. G.; Shavgulidze, E. T. 6 1988 The Feynman formulas for solving infinite-dimensional Schrödinger equations with polynomial potentials. Zbl 1247.81244 Smolyanov, O. G.; Shavgulidze, Eugene T. 5 2003 Conditions for certain forms of completeness in the class of projective limits of sequences of inductive limits of sequences of Frechet spaces. Zbl 0369.46013 Savgulidze, E. T. 4 1977 Representation of regularized traces of operators by functional integrals. Zbl 1263.47058 Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 3 2012 On two classes of spaces that are reflexive in the sense of Pontryagin. Zbl 1076.22001 Akbarov, S. S.; Shavgulidze, E. T. 3 2003 A simple proof of the Tarieladze’s theorem on the sufficiency of positively sufficient topologies. Zbl 0770.60004 Smolyanov, O. G.; Shavgulidze, E. T. 3 1992 Properties of the convolution operation for quasi-invariant measures on groups of diffeomorphisms of a circle. Zbl 1186.58010 Shavgulidze, E. T. 3 2001 Asymptotic expansions of Feynman integrals of exponentials with polynomial exponent. Zbl 1361.81057 Kravtseva, A. K.; Smolyanov, O. G.; Shavgulidze, E. T. 3 2016 The support of the symplectic Feynman measure and the uncertainty principle. Zbl 0797.28009 Smolyanov, O. G.; Shavgulidze, E. T. 2 1992 The Thompson group \(F\) is amenable. Zbl 1193.43002 Shavgulidze, E. T. 2 2009 \(B_r\) completeness. Zbl 0328.46007 Shavgulidze, E. T. 1 1976 Der Satz von Minlos für Masse mit nicht festem Vorzeichen. Zbl 0337.28010 Shavgulidze, E. T. 1 1976 The direct Kolmogorov equation for measures in the Hilbert scale of spaces. Zbl 0425.28011 Shavgulidze, E. T. 1 1978 Representations of regularized determinants of exponentials of differential operators by functional integrals. Zbl 1347.47024 Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 1 2016 On Kolmogorov’s forward equation for measures in the Hilbert scale of spaces. Zbl 0402.28009 Savgulidze, E. T. 1 1978 Ein Beispiel eines Maßes, das bezüglich der Operation der Gruppe der Diffeomorphismen einer Kreisperipherie invariant ist. Zbl 0403.28014 Savgulidze, E. T. 1 1978 Hamiltonian functional integrals representing regularized traces of higher-order differential operators. Zbl 1306.47055 Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 1 2014 Hahn-Jordan decomposition for smooth measures. Zbl 0482.28024 Shavgulidze, E. T. 1 1981 Some methods for quantizing finite-dimensional Hamiltonian systems with constraints. Zbl 0963.81039 Albeverio, S.; Smolyanov, O. G.; Shavgulidze, E. T. 1 1998 Some properties and applications of Feynman measures in the phase phase space. Zbl 0654.60047 Smolyanov, O. G.; Shavgulidze, E. T. 1 1987 Amenability of discrete subgroups of the group of diffeomorphisms of the circle. Zbl 1179.43001 Shavgulidze, E. T. 1 2009 Asymptotic expansions of Feynman integrals of exponentials with polynomial exponent. Zbl 1361.81057 Kravtseva, A. K.; Smolyanov, O. G.; Shavgulidze, E. T. 3 2016 Representations of regularized determinants of exponentials of differential operators by functional integrals. Zbl 1347.47024 Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 1 2016 Hamiltonian functional integrals representing regularized traces of higher-order differential operators. Zbl 1306.47055 Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 1 2014 Representation of regularized traces of operators by functional integrals. Zbl 1263.47058 Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 3 2012 The Thompson group \(F\) is amenable. Zbl 1193.43002 Shavgulidze, E. T. 2 2009 Amenability of discrete subgroups of the group of diffeomorphisms of the circle. Zbl 1179.43001 Shavgulidze, E. T. 1 2009 Infinite-dimensional Schrödinger equations with polynomial potentials and Feynman path integrals. Zbl 1327.81257 Smolyanov, O. G.; Shavgulidze, E. T. 9 2006 The Feynman formulas for solving infinite-dimensional Schrödinger equations with polynomial potentials. Zbl 1247.81244 Smolyanov, O. G.; Shavgulidze, Eugene T. 5 2003 On two classes of spaces that are reflexive in the sense of Pontryagin. Zbl 1076.22001 Akbarov, S. S.; Shavgulidze, E. T. 3 2003 Properties of the convolution operation for quasi-invariant measures on groups of diffeomorphisms of a circle. Zbl 1186.58010 Shavgulidze, E. T. 3 2001 Some properties of quasi-invariant measures on groups of diffeomorphisms of the circle. Zbl 1072.37503 Shavgulidze, E. T. 11 2000 Some methods for quantizing finite-dimensional Hamiltonian systems with constraints. Zbl 0963.81039 Albeverio, S.; Smolyanov, O. G.; Shavgulidze, E. T. 1 1998 Quasiinvariant measures on groups of diffeomorphisms. Zbl 0916.58008 Shavgulidze, E. T. 6 1997 Quasi-invariant measures on groups of diffeomorphisms of Riemannian manifolds. (Mesures quasi-invariantes sur les groupes de difféomorphismes des variétés riemanniennes.) Zbl 0841.58009 Shavgulidze, Eugène 6 1995 A simple proof of the Tarieladze’s theorem on the sufficiency of positively sufficient topologies. Zbl 0770.60004 Smolyanov, O. G.; Shavgulidze, E. T. 3 1992 The support of the symplectic Feynman measure and the uncertainty principle. Zbl 0797.28009 Smolyanov, O. G.; Shavgulidze, E. T. 2 1992 Functional integrals. (Kontinual’nye integraly.) Zbl 0746.46043 Smol’yanov, O. G.; Shavgulidze, E. T. 14 1990 Representation of solutions of linear evolution superdifferential equations of second order by functional integrals. Zbl 0706.35119 Smolyanov, O. G.; Shavgulidze, E. T. 12 1990 On a measure that is quasi-invariant with respect to the action of a group of diffeomorphisms of a finite-dimensional manifold. Zbl 0704.58010 Shavgulidze, E. T. 8 1989 The Fourier transform and pseudodifferential operators in superanalysis. Zbl 0699.47036 Smolyanov, O. G.; Shavgulidze, E. T. 6 1988 Some properties and applications of Feynman measures in the phase phase space. Zbl 0654.60047 Smolyanov, O. G.; Shavgulidze, E. T. 1 1987 Hahn-Jordan decomposition for smooth measures. Zbl 0482.28024 Shavgulidze, E. T. 1 1981 An example of a measure quasi-invariant under the action of the diffeomorphism group of the circle. Zbl 0412.58011 Shavgulidze, E. T. 6 1979 The direct Kolmogorov equation for measures in the Hilbert scale of spaces. Zbl 0425.28011 Shavgulidze, E. T. 1 1978 On Kolmogorov’s forward equation for measures in the Hilbert scale of spaces. Zbl 0402.28009 Savgulidze, E. T. 1 1978 Ein Beispiel eines Maßes, das bezüglich der Operation der Gruppe der Diffeomorphismen einer Kreisperipherie invariant ist. Zbl 0403.28014 Savgulidze, E. T. 1 1978 Conditions for certain forms of completeness in the class of projective limits of sequences of inductive limits of sequences of Frechet spaces. Zbl 0369.46013 Savgulidze, E. T. 4 1977 \(B_r\) completeness. Zbl 0328.46007 Shavgulidze, E. T. 1 1976 Der Satz von Minlos für Masse mit nicht festem Vorzeichen. Zbl 0337.28010 Shavgulidze, E. T. 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 41 Authors 11 Smolyanov, Oleg Georgievich 5 Shamarov, Nikolaĭ Nikolaevich 4 Kravtseva, A. K. 4 Shimomura, Hiroaki 3 Kinderknecht, Yana A. 3 Sakbaev, Vsevolod Zhanovich 3 Shavgulidze, Eugene T. 2 Grothaus, Martin 2 Loboda, Alexander A. 2 Mamon, Sergeĭ Vladimirovich 2 Mazzucchi, Sonia 2 Oblak, Blagoje 2 Panyunin, N. M. 2 Sadovnichiĭ, Viktor Antonovich 2 Smolyanova, M. O. 2 Truman, Aubrey 1 Afshar, Hamid Reza 1 Albeverio, Sergio A. 1 Bock, Wolfgang 1 Bogachev, Vladimir Igorevich 1 Böttcher, Björn 1 Buzinov, M. S. 1 Capraro, Patrick Leonardo 1 Detournay, Stéphane 1 Dubravina, V. A. 1 Egikyan, R. S. 1 Grumiller, Daniel 1 Inozemtseva, Natalia G. 1 Ivanov, Aleksandr Valentinovich 1 Kalinichenko, Artem A. 1 Khrennikov, Andreĭ Yur’evich 1 Ktitarev, Dmitri V. 1 Kurapin, G. I. 1 Perepelkin, Evgeny E. 1 Plyashechnik, A. S. 1 Riemann, Felix 1 Sadovnikov, B. I. 1 Schilling, René Leander 1 Shelakov, M. G. 1 Tokarev, A. G. 1 Urban, Roman all top 5 Cited in 21 Serials 11 Russian Journal of Mathematical Physics 6 Mathematical Notes 5 Journal of Mathematical Physics 5 Journal of Mathematical Sciences (New York) 5 Doklady Mathematics 2 Moscow University Mathematics Bulletin 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Differential Equations 1 Communications in Mathematical Physics 1 International Journal of Theoretical Physics 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the Moscow Mathematical Society 1 Potential Analysis 1 Izvestiya: Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Fractional Calculus & Applied Analysis 1 Journal of High Energy Physics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki all top 5 Cited in 20 Fields 27 Quantum theory (81-XX) 17 Operator theory (47-XX) 14 Functional analysis (46-XX) 13 Partial differential equations (35-XX) 10 Measure and integration (28-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Probability theory and stochastic processes (60-XX) 6 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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