## Ludkovsky, Sergey Victor

Compute Distance To:
 Author ID: ludkovsky.sergey-victor Published as: Ludkovsky, S. V.; Lyudkovskij, S. V.; Ludkovsky, Sergey V.; Ludkowski, S. V.; Ludkowski, Sergey V.; Lüdkovsky, S. V.; Lyudkovskii, S. V.; Ludkovsky, Sergei; Ludkovsky, Sergey Victor; Ludkowski, Sergey Victor; Ludkovsky, S.; Ludkovskij, S. V.; Ludkovsky, Sergey External Links: MGP
 Documents Indexed: 133 Publications since 1989, including 3 Books Reviewing Activity: 125 Reviews Co-Authors: 7 Co-Authors with 14 Joint Publications 353 Co-Co-Authors
all top 5

### Co-Authors

 119 single-authored 4 Khrennikov, Andreĭ Yur’evich 3 Sprößig, Wolfgang 2 Diarra, Bertin 2 Ferrando, Juan Carlos 1 Amigó, José María 1 Lusky, Wolfgang 1 van Oystaeyen, Freddy
all top 5

### Serials

 17 Journal of Mathematical Sciences (New York) 15 Russian Mathematical Surveys 9 Advances in Applied Clifford Algebras 8 International Journal of Mathematics and Mathematical Sciences 6 Southeast Asian Bulletin of Mathematics 5 Far East Journal of Mathematical Sciences 4 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 4 Fundamental’naya i Prikladnaya Matematika 4 Doklady Mathematics 4 Mathematics 3 Linear and Multilinear Algebra 3 Theoretical and Mathematical Physics 3 Topology and its Applications 3 Annales Mathématiques Blaise Pascal 3 Bulletin des Sciences Mathématiques 3 Complex Variables and Elliptic Equations 3 Advances and Applications in Mathematical Sciences 2 Journal of Mathematical Analysis and Applications 2 Moscow University Mathematics Bulletin 2 Indian Journal of Mathematics 2 Indagationes Mathematicae. New Series 2 Sbornik: Mathematics 2 Markov Processes and Related Fields 2 International Journal of Mathematics, Game Theory and Algebra 2 JP Journal of Geometry and Topology 1 Analysis Mathematica 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Acta Mathematica Vietnamica 1 Glasgow Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Far East Journal of Applied Mathematics 1 Far East Journal of Theoretical Statistics 1 JP Journal of Algebra, Number Theory and Applications 1 Computational Methods and Function Theory 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 Cubo 1 Journal for Algebra and Number Theory Academia 1 Advances in Pure Mathematics 1 Axioms 1 Journal of Function Spaces
all top 5

### Fields

 50 Functional analysis (46-XX) 29 Functions of a complex variable (30-XX) 28 Topological groups, Lie groups (22-XX) 19 Nonassociative rings and algebras (17-XX) 18 Global analysis, analysis on manifolds (58-XX) 16 Probability theory and stochastic processes (60-XX) 15 Measure and integration (28-XX) 15 Operator theory (47-XX) 14 Abstract harmonic analysis (43-XX) 7 General topology (54-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Partial differential equations (35-XX) 4 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 3 Integral transforms, operational calculus (44-XX) 3 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Algebraic topology (55-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

79 Publications have been cited 331 times in 111 Documents Cited by Year
Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields. Zbl 1017.60045
Ludkovsky, S.; Khrennikov, A.
2003
Differentiable functions of quaternion variables. Zbl 1065.30051
Lüdkovsky, S. V.; van Oystaeyen, F.
2003
Differentiable functions of Cayley-Dickson numbers and line integration. Zbl 1183.30054
Ludkovsky, S. V.
2007
Functions of several Cayley-Dickson variables and manifolds over them. Zbl 1183.30055
Ludkovsky, S. V.
2007
Non-Archimedean valued quasi-invariant descending at infinity measures. Zbl 1106.46058
Lüdkovsky, S. V.
2005
Generalized geometric loop groups of complex manifolds, Gaussian quasi-invariant measures on them and their representations. Zbl 1167.58301
Ludkovsky, S. V.
2004
Algebras of operators in Banach spaces over the quaternion skew field and the octonion algebra. Zbl 1178.47057
Ludkovsky, S. V.
2007
Quasi-conformal functions of quaternion and octonion variables, their integral transformations. Zbl 1171.30023
Ludkovsky, S. V.
2008
Spectral theory of super-differential operators of quaternion and octonion variables. Zbl 1238.47028
Ludkowski, S. V.; Sprössig, W.
2011
Residues of functions of octonion variables. Zbl 1230.30035
Ludkovsky, S. V.
2010
Spectral integration and spectral theory for non-Archimedean Banach spaces. Zbl 0999.47063
Ludkovsky, S.; Diarra, B.
2002
Poisson measures for topological groups and their representations. Zbl 1006.22003
Ludkovsky, S. V.
2002
Properties of quasi-invariant measures on topological groups and associated algebras. Zbl 0936.22004
Ludkovsky, S. V.
1999
On infinite products of non-Archimedean measure spaces. Zbl 1017.60015
Khrennikov, Andrei; Ludkovsky, Sergei
2002
Quasi-invariant and pseudo-differentiable measures with values in non-Archimedean fields on a non-Archimedean Banach space. Zbl 1079.46050
Ludkovsky, S. V.
2004
Measures on groups of diffeomorphisms of non-archimedean Banach manifolds. Zbl 0897.46063
Lyudkovskij, S. V.
1996
Topological transformation groups of manifolds over non-Archimedean fields, their representations, and quasi-invariant measures. I. Zbl 1194.46113
Ludkovsky, S. V.
2007
Stochastic processes on geometric loop groups, diffeomorphism groups of connected manifolds, and associated unitary representations. Zbl 1153.60031
Ludkovsky, S. V.
2007
Integration of vector hydrodynamical partial differential equations over octonions. Zbl 1269.30055
Ludkovsky, S. V.
2013
Ordered representations of normal and super-differential operators in quaternion and octonion Hilbert spaces. Zbl 1204.47028
Ludkowski, S. V.; Sprössig, W.
2010
Line integration of Dirac operators over octonions and Cayley-Dickson algebras. Zbl 1253.30068
Ludkovsky, Sergey V.
2012
Stochastic processes on groups of diffeomorphisms and loops of real, complex and non-Archimedean manifolds. Zbl 1046.60053
Ludkovskij, S. V.
2001
Spectral representations of operators in Hilbert spaces over quaternions and octonions. Zbl 1322.47029
Ludkovsky, S. V.; Sprössig, W.
2012
Topological groups and their $$\kappa$$-metrics. Zbl 0811.22003
Lyudkovskij, S. V.
1993
Differential equations over octonions. Zbl 1253.30069
Ludkowski, S. V.
2011
Some barrelledness properties of $$c_{0}(\Omega,X)$$. Zbl 1031.46004
Ferrando, J. C.; Lüdkovsky, S. V.
2002
Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. I. Zbl 0969.43002
Ludkovsky, Sergey V.
2000
Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. II. Zbl 0972.43001
Ludkovsky, Sergey V.
2000
Stochastic processes and antiderivational equations on non-Archimedean manifolds. Zbl 1094.60022
Ludkovsky, S. V.
2004
Irreducible unitary representations of non-Archimedean groups of diffeomorphisms. Zbl 0933.43003
Ludkovsky, Sergey V.
1998
Duality of $$\kappa$$-normed topological vector spaces and their applications. Zbl 1191.46002
Ludkovsky, S. V.
2009
Two-sided Laplace transform over Cayley-Dickson algebras and its applications. Zbl 1160.44001
Ludkovsky, S. V.
2008
Analysis over Cayley-Dickson numbers and its applications. Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus. Zbl 1257.30001
Ludkovsky, Sergey
2010
Integration of vector Sobolev-type PDE over octonions. Zbl 1348.30030
Ludkovsky, Sergey V.
2016
Wrap groups of connected fiber bundles, their structure and cohomologies. Zbl 1217.55004
Ludkovsky, S. V.
2010
Compact relationships between invariants of classical Lie groups and elementary symmetric polynomials. Zbl 0762.22021
Lyudkovskij, S. V.
1991
Non-Archimedean antiderivations and calculus of operators with local spectra. Zbl 1359.47057
Ludkowski, Sergey V.
2016
Stochastic processes on non-Archimedean Banach spaces. Zbl 1076.60045
Ludkovsky, S. V.
2003
Quasi-invariant measures on loop groups of Riemannian manifolds. Zbl 1050.22024
Lyudkovskij, S. V.
2000
Stochastic processes on totally disconnected topological groups. Zbl 1095.60015
Ludkovsky, S. V.
2003
Quasi-invariant and pseudo-differentiable measures in Banach spaces. Zbl 1209.28002
Ludkovsky, Sergey V.
2009
Quasi-invariant measures on non-Archimedean semigroups of loops. Zbl 0918.43001
Lyudkovskij, S. V.
1998
Embeddings of non-Archimedean Banach manifolds in non-Archimedean Banach spaces. Zbl 0932.46070
Lyudkovskij, S. V.
1998
Differentiability of functions: approximate, global, and differentiability along curves over non-Archimedean fields. Zbl 1189.26053
Ludkovsky, S. V.
2009
Line antiderivations over local fields and their applications. Zbl 1083.32020
Ludkovsky, S. V.
2005
$$C^*$$-algebras of meta-invariant operators in modules over Cayley-Dickson algebras. Zbl 1349.46056
Ludkovsky, Sergey V.
2015
Decompositions of PDE over Cayley-Dickson algebras. Zbl 1320.30089
Ludkowski, Sergey V.
2014
Unbounded normal operators in octonion Hilbert spaces and their spectra. Zbl 1466.47003
Ludkowski, Sergey V.
2013
Approximation and existence of Schauder bases in Müntz spaces of $$L_{1}$$ functions. Zbl 1342.30031
Ludkowski, Sergey V.
2016
Quasi-invariant measures on a group of diffeomorphisms of an infinite-dimensional real manifold and induced irreducible unitary representations. Zbl 0965.22001
Lüdkovsky, S. V.
1999
Quasi-invariant and pseudo-differentiable measures on non-Archimedean Banach spaces. Zbl 1017.28006
Ludkovsky, S. V.
2002
A structure and representations of diffeomorphism groups of non-Archimedean manifolds. Zbl 1048.43006
Ludkovsky, Sergey V.
2003
Profinite and finite groups associated with loop and diffeomorphism groups of non-Archimedean manifolds. Zbl 1130.58300
Ludkovsky, S. V.; Diarra, B.
2003
Microbundles over topological rings. Zbl 1426.55018
Ludkovsky, Sergey V.
2019
Irreducible unitary representations of a diffeomorphisms group of an infinite-dimensional real manifold. Zbl 0964.58005
Lüdkovsky, S. V.
1998
Non-Archimedean free Banach spaces. Zbl 0872.46038
Lüdkovsky, S. V.
1995
Multidimensional Laplace transforms over quaternions, octonions and Cayley-Dickson algebras, their applications to PDE. Zbl 1302.44001
Ludkovsky, Sergey Victor
2012
Structure of geometric wrap groups of non-Archimedean fibers. Zbl 1308.46079
Ludkovsky, Sergey V.
2014
Operators on a nonlocally compact group algebra. Zbl 1381.43003
Ludkovsky, S. V.
2013
Feynman integration over octonions with application to quantum mechanics. Zbl 1218.46024
Ludkovsky, S. V.
2010
Spectral functions of stochastic processes over non-Archimedean fields. Zbl 1205.60073
Ludkovsky, S. V.
2010
On transfinite construction of a class of directed ringoids. Zbl 1344.17002
Ludkovsky, Sergey V.
2015
Meta-centralizers of non-locally compact group algebras. Zbl 1325.43003
Ludkovsky, S. V.
2015
Groups of pseudoconformal diffeomorphisms of quaternion variables. Zbl 1327.58013
Lyudkovskii, S. V.
2006
On the geometry of Müntz spaces. Zbl 1332.46023
Ludkovsky, Sergey V.; Lusky, Wolfgang
2015
Manifolds over Cayley-Dickson algebras and their immersions. Zbl 1300.30093
Ludkovsky, Sergey V.
2013
Measures on diffeomorphism groups for non-Archimedean manifolds: Group representations and their applications. Zbl 0952.58008
Lyudkovskij, S. V.
1999
Skew continuous morphisms of ordered lattice ringoids. Zbl 1361.06011
Ludkowski, Sergey Victor
2016
On a class of right linearly differentiable functions of Cayley-Dickson variables. Zbl 1303.30044
Ludkowski, Sergey V.
2014
$$\kappa$$-normed topological vector spaces. Zbl 1032.46538
Lyudkovskij, S. V.
2000
Classification of certain types of locally compact groups in terms of their unitary representations. Zbl 0791.22003
Lyudkovskij, S. V.
1992
Measurability of representations of locally compact groups. Zbl 0848.22010
Lyudkovskij, S. V.
1995
Stochastic antiderivational equations on non-Archimedean Banach spaces. Zbl 1095.60014
Ludkovsky, S. V.
2003
Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields. Zbl 1106.60300
Khrennikov, Andrei; Ludkovsky, Sergei
2002
Automorphisms and derivations of nonassociative $$C^*$$-algebras. Zbl 1421.30064
Ludkowski, S. V.
2019
Measurability of representations of infinite-dimensional groups. Zbl 0877.58003
Lyudkovskij, S. V.
1996
Noncommutative, quasi-conformal integral transforms over quaternions and octonions. Zbl 1182.30085
Ludkovsky, S. V.
2009
Quasi-invariant and pseudo-differentiable measures with values in non-Archimedean fields on a non-Archimedean Banach space. Zbl 1073.46036
Ludkovsky, S. V.
2005
Operator algebras over Cayley-Dickson numbers. Operator algebras, $$C^*$$-algebras, spectra, spectral measures. Zbl 1258.47001
Ludkovsky, Sergey V.
2011
Microbundles over topological rings. Zbl 1426.55018
Ludkovsky, Sergey V.
2019
Automorphisms and derivations of nonassociative $$C^*$$-algebras. Zbl 1421.30064
Ludkowski, S. V.
2019
Integration of vector Sobolev-type PDE over octonions. Zbl 1348.30030
Ludkovsky, Sergey V.
2016
Non-Archimedean antiderivations and calculus of operators with local spectra. Zbl 1359.47057
Ludkowski, Sergey V.
2016
Approximation and existence of Schauder bases in Müntz spaces of $$L_{1}$$ functions. Zbl 1342.30031
Ludkowski, Sergey V.
2016
Skew continuous morphisms of ordered lattice ringoids. Zbl 1361.06011
Ludkowski, Sergey Victor
2016
$$C^*$$-algebras of meta-invariant operators in modules over Cayley-Dickson algebras. Zbl 1349.46056
Ludkovsky, Sergey V.
2015
On transfinite construction of a class of directed ringoids. Zbl 1344.17002
Ludkovsky, Sergey V.
2015
Meta-centralizers of non-locally compact group algebras. Zbl 1325.43003
Ludkovsky, S. V.
2015
On the geometry of Müntz spaces. Zbl 1332.46023
Ludkovsky, Sergey V.; Lusky, Wolfgang
2015
Decompositions of PDE over Cayley-Dickson algebras. Zbl 1320.30089
Ludkowski, Sergey V.
2014
Structure of geometric wrap groups of non-Archimedean fibers. Zbl 1308.46079
Ludkovsky, Sergey V.
2014
On a class of right linearly differentiable functions of Cayley-Dickson variables. Zbl 1303.30044
Ludkowski, Sergey V.
2014
Integration of vector hydrodynamical partial differential equations over octonions. Zbl 1269.30055
Ludkovsky, S. V.
2013
Unbounded normal operators in octonion Hilbert spaces and their spectra. Zbl 1466.47003
Ludkowski, Sergey V.
2013
Operators on a nonlocally compact group algebra. Zbl 1381.43003
Ludkovsky, S. V.
2013
Manifolds over Cayley-Dickson algebras and their immersions. Zbl 1300.30093
Ludkovsky, Sergey V.
2013
Line integration of Dirac operators over octonions and Cayley-Dickson algebras. Zbl 1253.30068
Ludkovsky, Sergey V.
2012
Spectral representations of operators in Hilbert spaces over quaternions and octonions. Zbl 1322.47029
Ludkovsky, S. V.; Sprössig, W.
2012
Multidimensional Laplace transforms over quaternions, octonions and Cayley-Dickson algebras, their applications to PDE. Zbl 1302.44001
Ludkovsky, Sergey Victor
2012
Spectral theory of super-differential operators of quaternion and octonion variables. Zbl 1238.47028
Ludkowski, S. V.; Sprössig, W.
2011
Differential equations over octonions. Zbl 1253.30069
Ludkowski, S. V.
2011
Operator algebras over Cayley-Dickson numbers. Operator algebras, $$C^*$$-algebras, spectra, spectral measures. Zbl 1258.47001
Ludkovsky, Sergey V.
2011
Residues of functions of octonion variables. Zbl 1230.30035
Ludkovsky, S. V.
2010
Ordered representations of normal and super-differential operators in quaternion and octonion Hilbert spaces. Zbl 1204.47028
Ludkowski, S. V.; Sprössig, W.
2010
Analysis over Cayley-Dickson numbers and its applications. Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus. Zbl 1257.30001
Ludkovsky, Sergey
2010
Wrap groups of connected fiber bundles, their structure and cohomologies. Zbl 1217.55004
Ludkovsky, S. V.
2010
Feynman integration over octonions with application to quantum mechanics. Zbl 1218.46024
Ludkovsky, S. V.
2010
Spectral functions of stochastic processes over non-Archimedean fields. Zbl 1205.60073
Ludkovsky, S. V.
2010
Duality of $$\kappa$$-normed topological vector spaces and their applications. Zbl 1191.46002
Ludkovsky, S. V.
2009
Quasi-invariant and pseudo-differentiable measures in Banach spaces. Zbl 1209.28002
Ludkovsky, Sergey V.
2009
Differentiability of functions: approximate, global, and differentiability along curves over non-Archimedean fields. Zbl 1189.26053
Ludkovsky, S. V.
2009
Noncommutative, quasi-conformal integral transforms over quaternions and octonions. Zbl 1182.30085
Ludkovsky, S. V.
2009
Quasi-conformal functions of quaternion and octonion variables, their integral transformations. Zbl 1171.30023
Ludkovsky, S. V.
2008
Two-sided Laplace transform over Cayley-Dickson algebras and its applications. Zbl 1160.44001
Ludkovsky, S. V.
2008
Differentiable functions of Cayley-Dickson numbers and line integration. Zbl 1183.30054
Ludkovsky, S. V.
2007
Functions of several Cayley-Dickson variables and manifolds over them. Zbl 1183.30055
Ludkovsky, S. V.
2007
Algebras of operators in Banach spaces over the quaternion skew field and the octonion algebra. Zbl 1178.47057
Ludkovsky, S. V.
2007
Topological transformation groups of manifolds over non-Archimedean fields, their representations, and quasi-invariant measures. I. Zbl 1194.46113
Ludkovsky, S. V.
2007
Stochastic processes on geometric loop groups, diffeomorphism groups of connected manifolds, and associated unitary representations. Zbl 1153.60031
Ludkovsky, S. V.
2007
Groups of pseudoconformal diffeomorphisms of quaternion variables. Zbl 1327.58013
Lyudkovskii, S. V.
2006
Non-Archimedean valued quasi-invariant descending at infinity measures. Zbl 1106.46058
Lüdkovsky, S. V.
2005
Line antiderivations over local fields and their applications. Zbl 1083.32020
Ludkovsky, S. V.
2005
Quasi-invariant and pseudo-differentiable measures with values in non-Archimedean fields on a non-Archimedean Banach space. Zbl 1073.46036
Ludkovsky, S. V.
2005
Generalized geometric loop groups of complex manifolds, Gaussian quasi-invariant measures on them and their representations. Zbl 1167.58301
Ludkovsky, S. V.
2004
Quasi-invariant and pseudo-differentiable measures with values in non-Archimedean fields on a non-Archimedean Banach space. Zbl 1079.46050
Ludkovsky, S. V.
2004
Stochastic processes and antiderivational equations on non-Archimedean manifolds. Zbl 1094.60022
Ludkovsky, S. V.
2004
Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields. Zbl 1017.60045
Ludkovsky, S.; Khrennikov, A.
2003
Differentiable functions of quaternion variables. Zbl 1065.30051
Lüdkovsky, S. V.; van Oystaeyen, F.
2003
Stochastic processes on non-Archimedean Banach spaces. Zbl 1076.60045
Ludkovsky, S. V.
2003
Stochastic processes on totally disconnected topological groups. Zbl 1095.60015
Ludkovsky, S. V.
2003
A structure and representations of diffeomorphism groups of non-Archimedean manifolds. Zbl 1048.43006
Ludkovsky, Sergey V.
2003
Profinite and finite groups associated with loop and diffeomorphism groups of non-Archimedean manifolds. Zbl 1130.58300
Ludkovsky, S. V.; Diarra, B.
2003
Stochastic antiderivational equations on non-Archimedean Banach spaces. Zbl 1095.60014
Ludkovsky, S. V.
2003
Spectral integration and spectral theory for non-Archimedean Banach spaces. Zbl 0999.47063
Ludkovsky, S.; Diarra, B.
2002
Poisson measures for topological groups and their representations. Zbl 1006.22003
Ludkovsky, S. V.
2002
On infinite products of non-Archimedean measure spaces. Zbl 1017.60015
Khrennikov, Andrei; Ludkovsky, Sergei
2002
Some barrelledness properties of $$c_{0}(\Omega,X)$$. Zbl 1031.46004
Ferrando, J. C.; Lüdkovsky, S. V.
2002
Quasi-invariant and pseudo-differentiable measures on non-Archimedean Banach spaces. Zbl 1017.28006
Ludkovsky, S. V.
2002
Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields. Zbl 1106.60300
Khrennikov, Andrei; Ludkovsky, Sergei
2002
Stochastic processes on groups of diffeomorphisms and loops of real, complex and non-Archimedean manifolds. Zbl 1046.60053
Ludkovskij, S. V.
2001
Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. I. Zbl 0969.43002
Ludkovsky, Sergey V.
2000
Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. II. Zbl 0972.43001
Ludkovsky, Sergey V.
2000
Quasi-invariant measures on loop groups of Riemannian manifolds. Zbl 1050.22024
Lyudkovskij, S. V.
2000
$$\kappa$$-normed topological vector spaces. Zbl 1032.46538
Lyudkovskij, S. V.
2000
Properties of quasi-invariant measures on topological groups and associated algebras. Zbl 0936.22004
Ludkovsky, S. V.
1999
Quasi-invariant measures on a group of diffeomorphisms of an infinite-dimensional real manifold and induced irreducible unitary representations. Zbl 0965.22001
Lüdkovsky, S. V.
1999
Measures on diffeomorphism groups for non-Archimedean manifolds: Group representations and their applications. Zbl 0952.58008
Lyudkovskij, S. V.
1999
Irreducible unitary representations of non-Archimedean groups of diffeomorphisms. Zbl 0933.43003
Ludkovsky, Sergey V.
1998
Quasi-invariant measures on non-Archimedean semigroups of loops. Zbl 0918.43001
Lyudkovskij, S. V.
1998
Embeddings of non-Archimedean Banach manifolds in non-Archimedean Banach spaces. Zbl 0932.46070
Lyudkovskij, S. V.
1998
Irreducible unitary representations of a diffeomorphisms group of an infinite-dimensional real manifold. Zbl 0964.58005
Lüdkovsky, S. V.
1998
Measures on groups of diffeomorphisms of non-archimedean Banach manifolds. Zbl 0897.46063
Lyudkovskij, S. V.
1996
Measurability of representations of infinite-dimensional groups. Zbl 0877.58003
Lyudkovskij, S. V.
1996
Non-Archimedean free Banach spaces. Zbl 0872.46038
Lüdkovsky, S. V.
1995
Measurability of representations of locally compact groups. Zbl 0848.22010
Lyudkovskij, S. V.
1995
Topological groups and their $$\kappa$$-metrics. Zbl 0811.22003
Lyudkovskij, S. V.
1993
Classification of certain types of locally compact groups in terms of their unitary representations. Zbl 0791.22003
Lyudkovskij, S. V.
1992
Compact relationships between invariants of classical Lie groups and elementary symmetric polynomials. Zbl 0762.22021
Lyudkovskij, S. V.
1991
all top 5

### Cited by 58 Authors

 54 Ludkovsky, Sergey Victor 17 Mukhamedov, Farruh Maksutovich 6 Khakimov, Otabek N. 4 Rozikov, Utkir A. 3 Glöckner, Helge 3 Yılmaz, Yılmaz 2 Ahmad, Mohd Ali Khameini 2 Doğan, Mutlay 2 El-Mikkawy, Moawwad E. A. 2 Khamraev, Murod 2 Khrennikov, Andreĭ Yur’evich 2 Kraußhar, Rolf Sören 2 Lefèvre, Pascal 2 Loskutov, Aleksandr Yur’evich 2 Saburov, Mansoor 2 Sprößig, Wolfgang 2 Weng, Zi-Hua 1 Aguayo, José N. 1 Akin, Hasan 1 Andrica, Dorin 1 Atlan, Faiz 1 Berest, Yuri Yu. 1 Bertram, Wolfgang 1 Bingham, Nicholas Hugh 1 Błaszczyk, Łukasz 1 Constales, Denis 1 Diagana, Toka 1 Domański, Pawel Jan 1 Dutkay, Dorin Ervin 1 Dzhanoev, Arsen R. 1 Flaut, Cristina 1 Gaillard, Loïc 1 Huo, Qinghai 1 Jarosz, Krzysztof 1 Jørgensen, Palle E. T. 1 Kirshtein, Jenya 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kupriyanov, Vladislav G. 1 Le Ny, Arnaud 1 Liao, Lingmin 1 Megrelishvili, Michael G. 1 Molchanov, Yuri 1 Neeb, Karl-Hermann 1 Nova, Miguel 1 Ojeda, Jacqueline 1 Ostaszewski, Adam J. 1 Radulescu, Marius-Cristian 1 Radulescu, Sorin 1 Ren, Guangbin 1 Rybalko, S. D. 1 Schwalger, Tilo 1 Shlossberg, Menachem 1 Shpakivskyi, Vitalii Stanislavovich 1 Sogabe, Tomohiro 1 Szabo, Richard J. 1 Tukhtabaev, Akbarkhuja 1 van Oystaeyen, Freddy 1 Wnuk, Witold
all top 5

### Cited in 48 Serials

 15 Journal of Mathematical Sciences (New York) 11 Advances in Applied Clifford Algebras 7 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Topology and its Applications 4 Annales Mathématiques Blaise Pascal 4 Complex Variables and Elliptic Equations 4 Mathematics 3 Journal of Mathematical Physics 3 Linear and Multilinear Algebra 3 Theoretical and Mathematical Physics 3 Indagationes Mathematicae. New Series 3 Bulletin des Sciences Mathématiques 3 Mathematical Physics, Analysis and Geometry 2 Letters in Mathematical Physics 2 Applied Mathematics and Computation 2 Glasgow Mathematical Journal 2 Doklady Mathematics 1 General Relativity and Gravitation 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Functiones et Approximatio. Commentarii Mathematici 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Computational Mathematics and Modeling 1 Multidimensional Systems and Signal Processing 1 Expositiones Mathematicae 1 Discrete and Continuous Dynamical Systems 1 Journal of Inequalities and Applications 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Chaos 1 Far East Journal of Mathematical Sciences 1 Journal of High Energy Physics 1 Computational Methods and Function Theory 1 Journal of Algebra and its Applications 1 International Journal of Geometric Methods in Modern Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Complex Analysis and Operator Theory 1 Axioms
all top 5

### Cited in 42 Fields

 38 Functional analysis (46-XX) 24 Functions of a complex variable (30-XX) 24 Statistical mechanics, structure of matter (82-XX) 15 Nonassociative rings and algebras (17-XX) 15 Operator theory (47-XX) 13 Probability theory and stochastic processes (60-XX) 12 Combinatorics (05-XX) 10 Topological groups, Lie groups (22-XX) 8 Field theory and polynomials (12-XX) 7 Number theory (11-XX) 7 Real functions (26-XX) 7 Measure and integration (28-XX) 7 Abstract harmonic analysis (43-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Associative rings and algebras (16-XX) 5 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 General topology (54-XX) 5 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 Relativity and gravitational theory (83-XX) 2 Group theory and generalizations (20-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)