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Ludkovsky, Sergey Viktorovich
Statistics Math-Net.Ru
Total publications: 40
Scientific articles: 38
Presentations: 1

Number of views:
This page:1222
Abstract pages:11452
Full texts:4817
References:1696
Associate professor
Doctor of physico-mathematical sciences
E-mail:
Keywords: algebra, group, representation, operator, measure, integral.
UDC: 512.546, 517.98, 517.986, 517.986.4, 517.988.2, 512.625.5, 517.987, 512.81, 515.12, 517.982, 512.554.5, 514.744

Subject:

noncommutative algebra, theory of groups, representation theory, harmonic analysis, operator theory, functional analysis, nonlinear partial differential equations, stochastic processes, general topology, noncommutative geometry
   
Main publications:
  • 4. "Meta-centralizers of non locally compact group algebras"; Glasgow Mathematical Journal; V. 57 (2015); 349–364; DOI:10.1017/S0017089514000330 5. "Integration of vector Sobolev type PDE over octonions", Complex Variables and Elliptic Equations, V. 61: 7, 1014-1035 (2016), DOI: 10.1080/17476933.2015.1132207

https://www.mathnet.ru/eng/person8287
List of publications on Google Scholar
https://zbmath.org/authors/ai:9537
https://mathscinet.ams.org/mathscinet/MRAuthorID/255583
https://elibrary.ru/author_items.asp?spin=SPIN: 9306-2990
https://orcid.org/0000-0002-4733-8151

Publications in Math-Net.Ru Citations
2024
1. S. V. Ludkovsky, “Regular and complete spaces over topological quasigroups”, Sibirsk. Mat. Zh., 65:5 (2024),  965–984  mathnet
2023
2. S. V. Ludkovsky, “Quasi-invariant and invariant functionals and measures on systems of topological loops and quasigroups”, Sibirsk. Mat. Zh., 64:5 (2023),  1032–1049  mathnet 1
3. S. V. Ludkovsky, “Quotient and transversal mappings for topological quasigroups”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:3 (2023),  497–522  mathnet 3
2012
4. S. V. Lyudkovskii, “Classification of infinite divisible distributions over locally compact fields with non-archimedean norms”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2012, no. 2,  67–84  mathnet  elib
2011
5. S. V. Lyudkovskii, “Spectral representations of stochastic processes in Banach spaces over infinite non-archimedean normed fields”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2011, no. 22,  37–62  mathnet  elib
2010
6. S. V. Lyudkovskii, “Spectral functions of stochastic processes on infinite fields with non-archimedeval normalizations”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2010, no. 18,  15–34  mathnet  elib
2009
7. S. V. Lyudkovsky, “Affine and wrap quasi-algebras over octonions”, Fundam. Prikl. Mat., 15:2 (2009),  61–119  mathnet  mathscinet; J. Math. Sci., 167:6 (2010), 767–809  scopus 2
2006
8. S. V. Lyudkovskii, “Normal Families of Functions and Groups of Pseudoconformal Diffeomorphisms of Quaternion and Octonion Variables”, CMFD, 18 (2006),  101–164  mathnet  mathscinet; Journal of Mathematical Sciences, 150:4 (2008), 2224–2287  scopus 15
9. S. V. Lyudkovskii, “Topological Transformation Groups of Manifolds over Non-Archimedean Fields, Their Representations, and Quasi-Invariant Measures, II”, CMFD, 18 (2006),  5–100  mathnet  mathscinet  elib; Journal of Mathematical Sciences, 150:4 (2008), 2123–2223  scopus 8
10. S. V. Lyudkovskii, “Topologies and duality of $\kappa$-normed vector spaces”, Uspekhi Mat. Nauk, 61:3(369) (2006),  173–174  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 61:3 (2006), 566–567  isi  elib  scopus
2003
11. S. V. Lyudkovskii, “Quasi-invariant and pseudo-differentiable measures with values in non-Archimedean fields on a non-Archimedean Banach space”, Fundam. Prikl. Mat., 9:1 (2003),  149–199  mathnet  mathscinet  zmath  elib; J. Math. Sci., 128:6 (2005), 3428–3460  elib  scopus 1
12. S. V. Lyudkovskii, “Structure of diffeomorphism groups of non-Archimedean manifolds”, Uspekhi Mat. Nauk, 58:6(354) (2003),  155–156  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 58:6 (2003), 1204–1205  isi  scopus 2
13. S. V. Lyudkovskii, “Quasi-invariant measures on non-Archimedean Banach spaces”, Uspekhi Mat. Nauk, 58:2(350) (2003),  167–168  mathnet  mathscinet  zmath; Russian Math. Surveys, 58:2 (2003), 377–378  isi  scopus 2
2001
14. S. V. Lyudkovskii, “Stochastic processes on groups of diffeomorphisms and loops of real, complex and non-Archimedean manifolds”, Fundam. Prikl. Mat., 7:4 (2001),  1091–1105  mathnet  mathscinet  zmath 2
15. S. V. Lyudkovskii, “Gaussian measures on free loop spaces”, Uspekhi Mat. Nauk, 56:5(341) (2001),  183–184  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:5 (2001), 982–983  isi  scopus 3
16. S. V. Lyudkovskii, “Topological group representations that are generated by Poisson measures”, Uspekhi Mat. Nauk, 56:1(337) (2001),  169–170  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 56:1 (2001), 166–167  isi  scopus 2
2000
17. S. V. Lyudkovskii, “Non-Archimedean polyhedra decompositions of ultrauniform spaces”, Fundam. Prikl. Mat., 6:2 (2000),  455–475  mathnet  mathscinet  zmath 3
18. S. V. Lyudkovskii, “Measurability of automorphisms of topological groups”, Mat. Zametki, 68:1 (2000),  105–112  mathnet  mathscinet  zmath 4
19. S. V. Lyudkovskii, “$\kappa$-normed topological vector spaces”, Sibirsk. Mat. Zh., 41:1 (2000),  167–184  mathnet  mathscinet  zmath; Siberian Math. J., 41:1 (2000), 141–154  isi 5
1999
20. S. V. Lyudkovskii, “Non-Archimedean polyhedral decompositions of ultrauniform spaces”, Uspekhi Mat. Nauk, 54:5(329) (1999),  163–164  mathnet  mathscinet  zmath; Russian Math. Surveys, 54:5 (1999), 1029–1030  isi  scopus 2
21. S. V. Lyudkovskii, “Measures on diffeomorphism groups for non-Archimedean manifolds: Group representations and their applications”, TMF, 119:3 (1999),  381–396  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 119:3 (1999), 698–711  isi  elib 10
1998
22. S. V. Lyudkovskii, “Embeddings of non-Archimedean Banach manifolds in non-Archimedean Banach spaces”, Uspekhi Mat. Nauk, 53:5(323) (1998),  241–242  mathnet  mathscinet  zmath; Russian Math. Surveys, 53:5 (1998), 1097–1098  isi  scopus 3
23. S. V. Lyudkovskii, “Quasi-invariant measures on non-Archimedean semigroups of loops”, Uspekhi Mat. Nauk, 53:3(321) (1998),  203–204  mathnet  mathscinet  zmath; Russian Math. Surveys, 53:3 (1998), 633–634  isi  scopus 7
1996
24. S. V. Lyudkovskii, “Measurability of representations of infinite-dimensional groups”, Uspekhi Mat. Nauk, 51:3(309) (1996),  205–206  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:3 (1996), 559–560  isi  scopus 3
25. S. V. Lyudkovskii, “Measures on groups of diffeomorphisms of non-Archimedean Banach manifolds”, Uspekhi Mat. Nauk, 51:2(308) (1996),  169–170  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:2 (1996), 338–340  isi  scopus 13
1995
26. S. V. Lyudkovskii, “Non-Archimedean free Banach spaces”, Fundam. Prikl. Mat., 1:4 (1995),  979–987  mathnet  mathscinet  zmath 4
27. S. V. Lyudkovskii, “Exotic groups and quotients of loop groups”, Mat. Sb., 186:9 (1995),  87–96  mathnet  mathscinet  zmath; Sb. Math., 186:9 (1995), 1313–1323  isi
28. S. V. Lyudkovskii, “Measurability of representations of locally compact groups”, Mat. Sb., 186:2 (1995),  83–92  mathnet  mathscinet  zmath; Sb. Math., 186:2 (1995), 245–255  isi 3
1994
29. S. V. Lyudkovskii, “Free locally convex spaces and their isomorphisms”, Uspekhi Mat. Nauk, 49:6(300) (1994),  207–208  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:6 (1994), 207–209  isi 2
1993
30. S. V. Lyudkovskii, “Continuity of representations of topological groups”, Uspekhi Mat. Nauk, 48:6(294) (1993),  157–158  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:6 (1993), 166–168  isi 1
31. S. V. Lyudkovskii, “Free locally convex spaces generated by locally compact groups”, Uspekhi Mat. Nauk, 48:2(290) (1993),  189–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:2 (1993), 192–194  isi 3
32. S. V. Lyudkovskii, “Topological groups and their $\varkappa$-metrics”, Uspekhi Mat. Nauk, 48:1(289) (1993),  173–174  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:1 (1993), 178–179  isi 1
1992
33. S. V. Lyudkovskii, “Classification of certain types of locally compact groups in terms of their unitary representations”, Uspekhi Mat. Nauk, 47:5(287) (1992),  185–186  mathnet  mathscinet  zmath; Russian Math. Surveys, 47:5 (1992), 194–195  isi 2
1991
34. S. V. Lyudkovskii, “Compact relationships between invariants of classical lie groups and elementary symmetric polynomials”, TMF, 89:3 (1991),  380–387  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 89:3 (1991), 1281–1286  isi 5
1990
35. S. V. Lyudkovskii, “Tensor operators of the Lie algebras $\mathfrak u(m)$ and $\mathfrak o(\nu)$”, TMF, 82:3 (1990),  474–479  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 82:3 (1990), 334–337  isi 1
36. S. V. Lyudkovskii, “Bases of irreducible representations of classical Lie algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 5,  18–25  mathnet  mathscinet  zmath 1
1989
37. S. V. Lyudkovskii, “Matrices that represent canonical elements of universal envelopes of classical Lie algebras in the Gel'fand–Tsetlin basis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 5,  73–76  mathnet  mathscinet  zmath 1
1988
38. S. V. Lyudkovskii, “Compact relationships between invariants of the unitary groups $U(n)$ and power sums”, TMF, 75:2 (1988),  316–320  mathnet  mathscinet; Theoret. and Math. Phys., 75:2 (1988), 551–554  isi 2
2008
39. S. V. Lyudkovskii, “Letter to the Editor”, Mat. Zametki, 83:3 (2008),  480  mathnet  mathscinet; Math. Notes, 83:3 (2008), 441  isi  scopus
1990
40. S. V. Lyudkovskii, “Поправка к статье “Матрицы, представляющие канонические элементы универсальных обертывающих классических алгебр Ли в базисе Гельфанда–Цетлина” (1989, № 5. С. 73–76)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 4,  105  mathnet

Presentations in Math-Net.Ru
1. Стохастические процессы на банаховых пространствах, группах Ли и многообразиях над полями с неархимедовыми нормированиями
S. V. Ludkovsky
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
February 25, 2010 11:00

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