Edit Profile (opens in new tab) Shavgulidze, Eugene T. Compute Distance To: Compute Author ID: shavgulidze.eugene-t Published as: Shavgulidze, E. T.; Shavgulidze, Eugene T.; Shavgulidze, Eugène External Links: MGP Documents Indexed: 46 Publications since 1975, including 3 Books Co-Authors: 16 Co-Authors with 17 Joint Publications 1,449 Co-Co-Authors all top 5 Co-Authors 22 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 Stepin, Anatolii Mikhailovich 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 28 Publications have been cited 100 times in 44 Documents Cited by ▼ Year ▼ Representation of solutions of linear evolution superdifferential equations of second order by functional integrals. Zbl 0706.35119Smolyanov, O. G.; Shavgulidze, E. T. 11 1990 Some properties of quasi-invariant measures on groups of diffeomorphisms of the circle. Zbl 1072.37503Shavgulidze, E. T. 10 2000 Infinite-dimensional Schrödinger equations with polynomial potentials and Feynman path integrals. Zbl 1327.81257Smolyanov, O. G.; Shavgulidze, E. T. 9 2006 The Fourier transform and pseudodifferential operators in superanalysis. Zbl 0699.47036Smolyanov, O. G.; Shavgulidze, E. T. 7 1988 On a measure that is quasi-invariant with respect to the action of a group of diffeomorphisms of a finite-dimensional manifold. Zbl 0704.58010Shavgulidze, E. T. 7 1989 Quasi-invariant measures on groups of diffeomorphisms of Riemannian manifolds. (Mesures quasi-invariantes sur les groupes de difféomorphismes des variétés riemanniennes.) Zbl 0841.58009Shavgulidze, Eugène 6 1995 Conditions for certain forms of completeness in the class of projective limits of sequences of inductive limits of sequences of Frechet spaces. Zbl 0369.46013Savgulidze, E. T. 4 1977 Properties of the convolution operation for quasi-invariant measures on groups of diffeomorphisms of a circle. Zbl 1186.58010Shavgulidze, E. T. 4 2001 An example of a measure quasi-invariant under the action of the diffeomorphism group of the circle. Zbl 0412.58011Shavgulidze, E. T. 4 1979 The Feynman formulas for solving infinite-dimensional Schrödinger equations with polynomial potentials. Zbl 1247.81244Smolyanov, O. G.; Shavgulidze, Eugene T. 4 2003 Quasiinvariant measures on groups of diffeomorphisms. Zbl 0916.58008Shavgulidze, E. T. 4 1997 Representation of regularized traces of operators by functional integrals. Zbl 1263.47058Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 3 2012 Asymptotic expansions of Feynman integrals of exponentials with polynomial exponent. Zbl 1361.81057Kravtseva, A. K.; Smolyanov, O. G.; Shavgulidze, E. T. 3 2016 On two classes of spaces that are reflexive in the sense of Pontryagin. Zbl 1076.22001Akbarov, S. S.; Shavgulidze, E. T. 3 2003 Functional integrals. (Kontinual’nye integraly.) Zbl 0746.46043Smol’yanov, O. G.; Shavgulidze, E. T. 3 1990 A simple proof of the Tarieladze’s theorem on the sufficiency of positively sufficient topologies. Zbl 0770.60004Smolyanov, O. G.; Shavgulidze, E. T. 3 1992 The support of the symplectic Feynman measure and the uncertainty principle. Zbl 0797.28009Smolyanov, O. G.; Shavgulidze, E. T. 2 1992 The Thompson group \(F\) is amenable. Zbl 1193.43002Shavgulidze, E. T. 2 2009 The direct Kolmogorov equation for measures in the Hilbert scale of spaces. Zbl 0425.28011Shavgulidze, E. T. 2 1978 Representations of regularized determinants of exponentials of differential operators by functional integrals. Zbl 1347.47024Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 1 2016 Hamiltonian functional integrals representing regularized traces of higher-order differential operators. Zbl 1306.47055Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 1 2014 Amenability of discrete subgroups of the group of diffeomorphisms of the circle. Zbl 1179.43001Shavgulidze, E. T. 1 2009 \(B_r\) completeness. Zbl 0328.46007Shavgulidze, E. T. 1 1976 Der Satz von Minlos für Masse mit nicht festem Vorzeichen. Zbl 0337.28010Shavgulidze, E. T. 1 1976 Some properties and applications of Feynman measures in the phase phase space. Zbl 0654.60047Smolyanov, O. G.; Shavgulidze, E. T. 1 1987 Hahn-Jordan decomposition for smooth measures. Zbl 0482.28024Shavgulidze, E. T. 1 1981 Ein Beispiel eines Maßes, das bezüglich der Operation der Gruppe der Diffeomorphismen einer Kreisperipherie invariant ist. Zbl 0403.28014Savgulidze, E. T. 1 1978 Some methods for quantizing finite-dimensional Hamiltonian systems with constraints. Zbl 0963.81039Albeverio, S.; Smolyanov, O. G.; Shavgulidze, E. T. 1 1998 Asymptotic expansions of Feynman integrals of exponentials with polynomial exponent. Zbl 1361.81057Kravtseva, A. K.; Smolyanov, O. G.; Shavgulidze, E. T. 3 2016 Representations of regularized determinants of exponentials of differential operators by functional integrals. Zbl 1347.47024Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 1 2016 Hamiltonian functional integrals representing regularized traces of higher-order differential operators. Zbl 1306.47055Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 1 2014 Representation of regularized traces of operators by functional integrals. Zbl 1263.47058Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T. 3 2012 The Thompson group \(F\) is amenable. Zbl 1193.43002Shavgulidze, E. T. 2 2009 Amenability of discrete subgroups of the group of diffeomorphisms of the circle. Zbl 1179.43001Shavgulidze, E. T. 1 2009 Infinite-dimensional Schrödinger equations with polynomial potentials and Feynman path integrals. Zbl 1327.81257Smolyanov, O. G.; Shavgulidze, E. T. 9 2006 The Feynman formulas for solving infinite-dimensional Schrödinger equations with polynomial potentials. Zbl 1247.81244Smolyanov, O. G.; Shavgulidze, Eugene T. 4 2003 On two classes of spaces that are reflexive in the sense of Pontryagin. Zbl 1076.22001Akbarov, S. S.; Shavgulidze, E. T. 3 2003 Properties of the convolution operation for quasi-invariant measures on groups of diffeomorphisms of a circle. Zbl 1186.58010Shavgulidze, E. T. 4 2001 Some properties of quasi-invariant measures on groups of diffeomorphisms of the circle. Zbl 1072.37503Shavgulidze, E. T. 10 2000 Some methods for quantizing finite-dimensional Hamiltonian systems with constraints. Zbl 0963.81039Albeverio, S.; Smolyanov, O. G.; Shavgulidze, E. T. 1 1998 Quasiinvariant measures on groups of diffeomorphisms. Zbl 0916.58008Shavgulidze, E. T. 4 1997 Quasi-invariant measures on groups of diffeomorphisms of Riemannian manifolds. (Mesures quasi-invariantes sur les groupes de difféomorphismes des variétés riemanniennes.) Zbl 0841.58009Shavgulidze, Eugène 6 1995 A simple proof of the Tarieladze’s theorem on the sufficiency of positively sufficient topologies. Zbl 0770.60004Smolyanov, O. G.; Shavgulidze, E. T. 3 1992 The support of the symplectic Feynman measure and the uncertainty principle. Zbl 0797.28009Smolyanov, O. G.; Shavgulidze, E. T. 2 1992 Representation of solutions of linear evolution superdifferential equations of second order by functional integrals. Zbl 0706.35119Smolyanov, O. G.; Shavgulidze, E. T. 11 1990 Functional integrals. (Kontinual’nye integraly.) Zbl 0746.46043Smol’yanov, O. G.; Shavgulidze, E. T. 3 1990 On a measure that is quasi-invariant with respect to the action of a group of diffeomorphisms of a finite-dimensional manifold. Zbl 0704.58010Shavgulidze, E. T. 7 1989 The Fourier transform and pseudodifferential operators in superanalysis. Zbl 0699.47036Smolyanov, O. G.; Shavgulidze, E. T. 7 1988 Some properties and applications of Feynman measures in the phase phase space. Zbl 0654.60047Smolyanov, O. G.; Shavgulidze, E. T. 1 1987 Hahn-Jordan decomposition for smooth measures. Zbl 0482.28024Shavgulidze, E. T. 1 1981 An example of a measure quasi-invariant under the action of the diffeomorphism group of the circle. Zbl 0412.58011Shavgulidze, E. T. 4 1979 The direct Kolmogorov equation for measures in the Hilbert scale of spaces. Zbl 0425.28011Shavgulidze, E. T. 2 1978 Ein Beispiel eines Maßes, das bezüglich der Operation der Gruppe der Diffeomorphismen einer Kreisperipherie invariant ist. Zbl 0403.28014Savgulidze, 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 0369.46013Savgulidze, E. T. 4 1977 \(B_r\) completeness. Zbl 0328.46007Shavgulidze, E. T. 1 1976 Der Satz von Minlos für Masse mit nicht festem Vorzeichen. Zbl 0337.28010Shavgulidze, E. T. 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 37 Authors 9 Smolyanov, Oleg Georgievich 5 Remizov, Ivan D. 4 Kravtseva, A. K. 4 Shimomura, Hiroaki 3 Shamarov, Nikolaĭ Nikolaevich 3 Shavgulidze, Eugene T. 2 Kinderknecht, Yana A. 2 Grothaus, Martin 2 Loboda, Alexander A. 2 Mamon, Sergeĭ Vladimirovich 2 Oblak, Blagoje 2 Panyunin, N. M. 2 Sadovnichiĭ, Viktor Antonovich 2 Smolyanova, M. O. 1 Afshar, Hamid Reza 1 Albeverio, Sergio A. 1 Bogachev, Vladimir Igorevich 1 Böttcher, Björn 1 Buzinov, M. S. 1 Detournay, Stéphane 1 Dubravina, V. A. 1 Egikyan, R. S. 1 Grumiller, Daniel 1 Inozemtseva, Natalia G. 1 Kalinichenko, Artem A. 1 Khrennikov, Andreĭ Yur’evich 1 Ktitarev, Dmitri V. 1 Kurapin, G. I. 1 Mazzucchi, Sonia 1 Perepelkin, Evgeny E. 1 Plyashechnik, A. S. 1 Riemann, Felix 1 Sadovnikov, B. I. 1 Sakbaev, Vsevolod Zhanovich 1 Schilling, René Leander 1 Tokarev, A. G. 1 Truman, Aubrey all top 5 Cited in 17 Serials 10 Russian Journal of Mathematical Physics 6 Mathematical Notes 4 Journal of Mathematical Physics 4 Journal of Mathematical Sciences (New York) 4 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 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 Journal of High Energy Physics all top 5 Cited in 16 Fields 21 Quantum theory (81-XX) 14 Functional analysis (46-XX) 12 Partial differential equations (35-XX) 11 Operator theory (47-XX) 8 Measure and integration (28-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Topological groups, Lie groups (22-XX) 6 Probability theory and stochastic processes (60-XX) 2 Ordinary differential equations (34-XX) 2 Relativity and gravitational theory (83-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 Statistical mechanics, structure of matter (82-XX) Citations by Year