Edit Profile (opens in new tab) Gordon, Evgeniĭ Izrail’evich Co-Author Distance Author ID: gordon.evgenii-i Published as: Gordon, E. I.; Gordon, Evgenii I.; Gordon, Evgenij I.; Gordon, Evgeny I.; Gordon, Ye. I.; Gordon, E. more...less Homepage: http://www.ux1.eiu.edu/~yigordon/ External Links: Math-Net.Ru · GND Documents Indexed: 51 Publications since 1974, including 4 Books Co-Authors: 23 Co-Authors with 28 Joint Publications 1,167 Co-Co-Authors all top 5 Co-Authors 20 single-authored 9 Glebsky, Lev Yu. 7 Kutateladze, Semën Samsonovich 5 Kusraev, Anatoly Georgievich 4 Vodop’yanov, Sergeĭ Konstantinovich 3 Andreev, P. V. 2 Albeverio, Sergio A. 2 Gutman, Aleksandr Efimovich 2 Henson, C. Ward 2 Khrennikov, Andreĭ Yur’evich 2 Kondakov, Vladimir Petrovich 2 Lyubetsky, Vassily Aleksandrovich 2 Malyugin, Sergey Artem’evich 2 Muzaev, Illarion Davidovich 2 Reshetnyak, Yuriĭ Grigor’evich 2 Rubio, Carlos J. 1 Alekseyev, Max A. 1 Capdeboscq, Inna 1 Kopfer, A. V. 1 Koptev, Aleksandr Viktorovich 1 Pontryagin, Lev Semënovich 1 Rezvova, Olga A. 1 Veksler, Alexander I. 1 Vershik, Anatoliĭ Moiseevich 1 Zdorovenko, M. Yu. all top 5 Serials 7 Siberian Mathematical Journal 6 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 5 Soviet Mathematics. Doklady 3 Soviet Mathematics 2 Illinois Journal of Mathematics 2 The Journal of Symbolic Logic 2 Acta Applicandae Mathematicae 2 Automation and Remote Control 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Annals of Pure and Applied Logic 1 Zapiski Nauchnykh Seminarov POMI 1 Optimizatsiya 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Electronic Research Announcements of the American Mathematical Society 1 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya 1 Doklady Mathematics 1 Taiwanese Journal of Mathematics 1 Matematychni Studiï 1 Matematicheskoe Modelirovanie 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Mathematics and its Applications (Dordrecht) 1 Translations of Mathematical Monographs all top 5 Fields 22 Mathematical logic and foundations (03-XX) 13 Topological groups, Lie groups (22-XX) 11 Real functions (26-XX) 9 Abstract harmonic analysis (43-XX) 7 History and biography (01-XX) 7 Functional analysis (46-XX) 5 Measure and integration (28-XX) 5 Operator theory (47-XX) 4 Group theory and generalizations (20-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 General topology (54-XX) 3 Computer science (68-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 109 times in 80 Documents Cited by ▼ Year ▼ Nonstandard methods in commutative harmonic analysis. Zbl 0873.43001Gordon, E. I. 13 1997 Finite-dimensional approximations of operators in the Hilbert spaces of functions on locally compact Abelian groups. Zbl 1019.47020Albeverio, S.; Gordon, E. I.; Khrennikov, A. Yu. 12 2000 On approximations of groups, group actions, and Hopf algebras. Zbl 1130.20306Alekseev, M. A.; Glebskiĭ, L. Yu.; Gordon, E. I. 12 1999 Groups that are locally embeddable in the class of finite groups. Zbl 0898.20016Vershik, A. M.; Gordon, E. I. 11 1997 Real numbers in Boolean-valued models of set theory, and K-spaces. Zbl 0406.03064Gordon, E. I. 9 1977 Relatively standard elements in Nelson’s internal set theory. Zbl 0697.03037Gordon, E. I. 6 1989 Infinitesimal analysis. Updated and revised translation of the 2001 Russian original. Translated by Kutateladze. Zbl 1037.46065Gordon, E. I.; Kusraev, A. G.; Kutateladze, S. S. 6 2002 Nonstandard analysis and locally compact abelian groups. Zbl 0769.26009Gordon, E. I. 6 1991 K-spaces in Boolean-valued models of set theory. Zbl 0514.03032Gordon, E. I. 4 1981 An axiomatics for nonstandard set theory, based on von Neumann-Bernays-Gödel theory. Zbl 0985.03043Andreev, P. V.; Gordon, E. I. 4 2001 Theorems on preservation of relations in K-spaces. Zbl 0523.03026Gordon, E. I. 3 1982 Infinitesimal analysis. Part 2. (Инфинитезимальный анализ. Часть 2.) Zbl 1013.46004Gordon, E. I.; Kusraev, A. G.; Kutateladze, S. S. 3 2001 On approximation of locally compact groups by finite algebraic systems. Zbl 1104.22006Glebsky, L. Yu.; Gordon, E. I. 3 2004 On the Fourier transform in nonstandard analysis. Zbl 0694.42018Gordon, E. I. 2 1989 Nonstandard finite-dimensional analogs of operators in \(L_ 2(R^ n)\). Zbl 0718.47037Gordon, E. I. 2 1988 On approximation of topological groups by finite quasigroups and finite semigroups. Zbl 1077.22004Glebsky, L. Yu.; Gordon, E. I. 2 2005 On surjunctivity of the transition functions of cellular automata on groups. Zbl 1089.37006Glebsky, L. Yu.; Gordon, E. I. 2 2005 Some applications of nonstandard analysis in the theory of Boolean-valued measures. Zbl 0485.03038Gordon, E. I.; Lyubetskij, V. A. 1 1981 On hyperfinite approximations of the field \(R\). Zbl 1018.22003Gordon, Evgenii I.; Rezvova, Olga A. 1 2001 On approximation of unimodular groups by finite quasigroups. Zbl 1078.43001Glebsky, L. Yu.; Gordon, E. I.; Rubio, C. J. 1 2005 On approximation of amenable groups by finite quasigroups. Zbl 1159.43300Glebsky, L. Yu.; Gordon, Ye. I. 1 2005 On Loeb measures. Zbl 0735.28013Gordon, E. I. 1 1991 Hyperfinite approximations of commutative topological groups. Zbl 0830.43019Gordon, E. I. 1 1995 Recollection of D. A. Gudkov. Zbl 0849.01030Gordon, Evgenij I. 1 1996 Hyperfinite approximations of compact groups and their representations. Zbl 0855.22009Gordon, E. I.; Korchagina, I. A. 1 1995 A theory of hyperfinite sets. Zbl 1110.03047Andreev, P. V.; Gordon, E. I. 1 2006 A theory of hyperfinite sets. Zbl 1110.03047Andreev, P. V.; Gordon, E. I. 1 2006 On approximation of topological groups by finite quasigroups and finite semigroups. Zbl 1077.22004Glebsky, L. Yu.; Gordon, E. I. 2 2005 On surjunctivity of the transition functions of cellular automata on groups. Zbl 1089.37006Glebsky, L. Yu.; Gordon, E. I. 2 2005 On approximation of unimodular groups by finite quasigroups. Zbl 1078.43001Glebsky, L. Yu.; Gordon, E. I.; Rubio, C. J. 1 2005 On approximation of amenable groups by finite quasigroups. Zbl 1159.43300Glebsky, L. Yu.; Gordon, Ye. I. 1 2005 On approximation of locally compact groups by finite algebraic systems. Zbl 1104.22006Glebsky, L. Yu.; Gordon, E. I. 3 2004 Infinitesimal analysis. Updated and revised translation of the 2001 Russian original. Translated by Kutateladze. Zbl 1037.46065Gordon, E. I.; Kusraev, A. G.; Kutateladze, S. S. 6 2002 An axiomatics for nonstandard set theory, based on von Neumann-Bernays-Gödel theory. Zbl 0985.03043Andreev, P. V.; Gordon, E. I. 4 2001 Infinitesimal analysis. Part 2. (Инфинитезимальный анализ. Часть 2.) Zbl 1013.46004Gordon, E. I.; Kusraev, A. G.; Kutateladze, S. S. 3 2001 On hyperfinite approximations of the field \(R\). Zbl 1018.22003Gordon, Evgenii I.; Rezvova, Olga A. 1 2001 Finite-dimensional approximations of operators in the Hilbert spaces of functions on locally compact Abelian groups. Zbl 1019.47020Albeverio, S.; Gordon, E. I.; Khrennikov, A. Yu. 12 2000 On approximations of groups, group actions, and Hopf algebras. Zbl 1130.20306Alekseev, M. A.; Glebskiĭ, L. Yu.; Gordon, E. I. 12 1999 Nonstandard methods in commutative harmonic analysis. Zbl 0873.43001Gordon, E. I. 13 1997 Groups that are locally embeddable in the class of finite groups. Zbl 0898.20016Vershik, A. M.; Gordon, E. I. 11 1997 Recollection of D. A. Gudkov. Zbl 0849.01030Gordon, Evgenij I. 1 1996 Hyperfinite approximations of commutative topological groups. Zbl 0830.43019Gordon, E. I. 1 1995 Hyperfinite approximations of compact groups and their representations. Zbl 0855.22009Gordon, E. I.; Korchagina, I. A. 1 1995 Nonstandard analysis and locally compact abelian groups. Zbl 0769.26009Gordon, E. I. 6 1991 On Loeb measures. Zbl 0735.28013Gordon, E. I. 1 1991 Relatively standard elements in Nelson’s internal set theory. Zbl 0697.03037Gordon, E. I. 6 1989 On the Fourier transform in nonstandard analysis. Zbl 0694.42018Gordon, E. I. 2 1989 Nonstandard finite-dimensional analogs of operators in \(L_ 2(R^ n)\). Zbl 0718.47037Gordon, E. I. 2 1988 Theorems on preservation of relations in K-spaces. Zbl 0523.03026Gordon, E. I. 3 1982 K-spaces in Boolean-valued models of set theory. Zbl 0514.03032Gordon, E. I. 4 1981 Some applications of nonstandard analysis in the theory of Boolean-valued measures. Zbl 0485.03038Gordon, E. I.; Lyubetskij, V. A. 1 1981 Real numbers in Boolean-valued models of set theory, and K-spaces. Zbl 0406.03064Gordon, E. I. 9 1977 all cited Publications top 5 cited Publications all top 5 Cited by 78 Authors 11 Gordon, Evgeniĭ Izrail’evich 7 Kutateladze, Semën Samsonovich 6 Digernes, Trond 6 Glebsky, Lev Yu. 5 Kusraev, Anatoly Georgievich 5 Zlatoš, Pavol Ján 4 Sanders, Sam 4 Weisbart, David 3 Andreev, P. V. 2 Ceccherini-Silberstein, Tullio G. 2 Conant, Gabriel 2 Emel’yanov, Èduard Yur’evich 2 Gorokhova, Svetlana G. 2 Henson, C. Ward 2 Hrbáček, Karel 2 Kytmanov, Aleksandr Mechislavovich 2 Normann, Dag 1 Andreev, Petr 1 Aydin, Abdullah 1 Bakken, Erik Maki 1 Bakken, Erik Makino 1 Barbieri, Sebastián 1 Benli, Mustafa Gökhan 1 Błaszczyk, Piotr 1 Capdeboscq, Inna 1 Carrión, José R. 1 Coornaert, Michel 1 Dadarlat, Marius 1 de Cornulier, Yves 1 Doucha, Michal 1 Eckhardt, Caleb 1 Elek, Gábor 1 Farah, Ilijas 1 Ferenczi, Miklós 1 Georgakopoulos, Agelos 1 Gismatullin, Jakub 1 Gül, Hasan Hüseyin 1 Hirvonen, Åsa 1 Hyttinen, Tapani 1 Kari, Jarkko 1 Katz, Mikhail G. 1 Kaya, Burak 1 Kerr, David 1 Khodos, Olga V. 1 Kutsenko, Anton A. 1 Letavaj, Peter 1 Li, Hanfeng 1 Lund, M. U. 1 Mačaj, Martin 1 Mimura, Masato 1 Mišík, Ladislav jun. 1 Molchanov, Vladimir A. 1 Nganou, Jean Bernard 1 Peraire, Yves 1 Pillay, Anand 1 Pontryagin, Lev Semënovich 1 Prokhorova, Marina F. 1 Rivera, Luis Manuel 1 Rubio, Carlos J. 1 Salo, Ville O. 1 Samet-Vaillant, Aryeh Y. 1 Sherry, David M. 1 Sleziak, Martin 1 Starostin, A. I. 1 Stoltenberg-Hansen, Viggo 1 Szabó, Endre 1 Terry, Caroline A. 1 Thouvenot, Jean-Paul 1 Varadarajan, Veeravalli S. 1 Veksler, Alexander I. 1 Vodička, Martin 1 Weinstein, Scott 1 Weisbart, D. E. 1 Wiśnicki, Andrzej 1 Yakovlev, I. V. 1 Zapata, Jose Miguel 1 Zdorovenko, M. Yu. 1 Ziman, Miloš all top 5 Cited in 44 Serials 8 Siberian Mathematical Journal 8 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 4 The Journal of Symbolic Logic 4 Annals of Pure and Applied Logic 4 Journal of Mathematical Sciences (New York) 4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 3 The Bulletin of Symbolic Logic 2 Mathematical Notes 2 Journal of Algebra 2 Groups, Geometry, and Dynamics 2 Journal of Logic and Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Reviews in Mathematical Physics 1 Algebra Universalis 1 Applied Mathematics and Computation 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications de l’Institut Mathématique. Nouvelle Série 1 European Journal of Combinatorics 1 Graphs and Combinatorics 1 Journal of Theoretical Probability 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques 1 International Journal of Algebra and Computation 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Combinatorics, Probability and Computing 1 Mathematical Logic Quarterly (MLQ) 1 Turkish Journal of Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Foundations of Science 1 Journal of Modern Dynamics 1 Journal of Applied and Industrial Mathematics 1 Asian-European Journal of Mathematics 1 Ars Mathematica Contemporanea 1 Bulletin of Mathematical Sciences 1 Communications in Mathematics and Statistics 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 33 Fields 35 Mathematical logic and foundations (03-XX) 17 Functional analysis (46-XX) 11 Group theory and generalizations (20-XX) 11 Operator theory (47-XX) 10 Topological groups, Lie groups (22-XX) 10 Real functions (26-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Quantum theory (81-XX) 6 Measure and integration (28-XX) 6 Abstract harmonic analysis (43-XX) 6 General topology (54-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Number theory (11-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year