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Gichev, Viсtor Matveevich

Total publications: 31 (31)
in MathSciNet: 30 (30)
in zbMATH: 25 (25)
in Web of Science: 20 (20)
in Scopus: 17 (17)
Cited articles: 15
Citations: 59
Presentations: 6

Number of views:
This page:1618
Abstract pages:3200
Full texts:1161
References:441
Gichev, Viсtor Matveevich
Associate professor
Candidate of physico-mathematical sciences (1979)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: Invariant function algebras, polynomially convex hulls of orbits, invariant ordernbgs in Lie groupsб spherical harmonics.
UDC: 513.814, 515.122.4, 514.1

Subject:

Geometric Analysis, Lie Groups, Function Algebras

   
Main publications:
  1. V. M. Gichev, “Some remarks on spherical harmonics”, St. Petersburg Math. J., 20:4 (2009), 553–567 , arXiv: 0705.2547v3  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
  2. V. M. Gichev, “Invariant Function Algebras on Compact Commutative Homogeneous Spaces”, Mosc. Math. J., 8:4 (2008), 697–709 , arXiv: arXiv:0907.2744  mathnet  crossref  mathscinet  zmath  isi
  3. V. M. Gichev, I. A. Latypov, “Polynomially convex orbits of compact Lie groups”, Transform Groups, 6:4 (2001), 321-331  crossref  mathscinet  zmath  isi  elib  scopus
  4. V.M. Gichev, “Invariant orders in simply connected Lie groups.”, Journal of Lie Theory, 5:1 (1995), 41-79 http://www.emis.de/journals/JLT/vol.5_no.1/index.html  mathscinet  zmath
  5. V. M. Gichev, “Invariant function algebras on Lie groups”, Siberian Mathematical Journal, 20:1, http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit# (1979), 15-25,  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  scopus

https://www.mathnet.ru/eng/person24764
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/211952
https://orcid.org/0000-0001-9119-7643
https://www.webofscience.com/wos/author/record/G-4266-2013
https://www.scopus.com/authid/detail.url?authorId=16499173300

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2023
1. V. M. Gichev, “Maximal ideal spaces of invariant function algebras on compact groups”, Siberian Adv. Math., 33:2 (2023), 107–139  mathnet  crossref  crossref

   2021
2. V. M. Gichev, “Completely reducible factors of harmonic polynomials of three variables”, Mat. Tr., 24:2 (2021), 24–36  mathnet  crossref

   2020
3. V. M. Gichev, “Factorization of special harmonic polynomials of three variables”, Sib. elektron. matem. izv., 17 (2020), 1299–1312  mathnet  crossref  isi  scopus; 1

   2019
4. V. Gichev, “The Kostlan–Shub–Smale random polynomials in the case of growing number of variables”, Sib. elektron. matem. izv., 16 (2019), 217–228  mathnet  crossref  mathscinet  zmath  isi  scopus

   2017
5. V. Gichev, “Decomposition of the Kostlan-Shub-Smale model for random polynomials”, Complex Analysis and Dynamical Systems VII, Proceedings of the conference “Complex Analysis and Dynamical Systems VII” (May 10–15, 2015, Nahariya, Israel), Contemporary Mathematics, 699, Amer. Math. Soc., Providence, RI, 2017, 103-120 https://arxiv.org/pdf/1509.01449.pdf  crossref  mathscinet  zmath  isi  scopus 1

   2013
6. V. M. Gichev, “Metric properties in the mean of polynomials on compact isotropy irreducible homogeneous spaces”, Analysis and Mathematical Physics, 3:2 (2013), 119–144 https://link.springer.com/article/10.1007, arXiv: math CA/1205.6534  crossref  mathscinet  zmath  adsnasa  elib  scopus 1
7. V. M. Gichev, “Mean asymmetry of polynomials on compact homogeneous spaces”, Sib. elektron. matem. izv., 10 (2013), 566–582 http://semr.math.nsc.ru/v10/p566-582.pdf  mathnet  elib
8. V. M. Gichev, E. A. Mescheryakov, I. A. Zubareva, “Semigroups of polygons whose vertices define a centered partition of ℝ n”, Siberian Advances in Mathematics, 23:1, http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit# (2013), 20-31 https://link.springer.com/article/10.3103/S1055134413010021  mathnet  crossref  mathscinet  elib  scopus

   2010
9. V.M., Gichev, “Polar representations of compact groups and convex hulls of their orbits,”, Differential Geometry and its Applications, 28 (2010), 608-614 https://arxiv.org/pdf/0909.0379.pdf, arXiv: 0909.0379v1  crossref  mathscinet  zmath  adsnasa  isi  elib

   2009
10. V. M. Gichev, “Some remarks on spherical harmonics”, St. Petersburg Math. J., 20:4 (2009), 553–567 , arXiv: 0705.2547v3  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2008
11. V. M. Gichev, “Invariant Function Algebras on Compact Commutative Homogeneous Spaces”, Mosc. Math. J., 8:4 (2008), 697–709 , arXiv: arXiv:0907.2744  mathnet  crossref  mathscinet  zmath  isi 1
12. Gichev V. M., “Orbits of tori extended by finite groups and their polynomial hulls: The case of connected complex orbits”, Source: COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS III Book (3rd International Conference on Complex Analysis and Dynamical Systems Location: Nahariya, ISRAEL Date: JAN 02-06, 2006), Series: CONTEMPORARY MATHEMATICS SERIES, 455, eds. Editor(s): Agranovsky M; Bshouty D; Karp L; et al., AMER MATHEMATICAL SOC,, P.O. BOX 6248, PROVIDENCE, RI 02940 USA, 2008, 109-129  crossref  mathscinet  zmath  adsnasa  isi

   2007
13. V. M. Gichev, E. A. Meshcheryakov, “On geometry of flat complete strictly causal Lorentzian manifolds”, Siberian Math. J., 48:1 (2007), 62–72 , arXiv: math/0509287  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2006
14. V. M. Gichev, Maximal ideal spaces of invariant function algebras on compact groups, 2006 , 46 pp., arXiv: https://arxiv.org/pdf/math/0603449.pdf  adsnasa

   2005
15. V. M. Gichev, O. S. Morozov, “On Flat Complete Causal Lorentzian Manifolds”, Geometriae Dedicata, 116 (2005), 37-59 , arXiv: math/0508633  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 1

   2004
16. V. M. Gichev, “A Note on Common Zeroes of Laplace–Beltrami Eigenfunctions”, Annals of Global Analysis and Geometry, 26 (2004), 201-208 , arXiv: math.MG/0511688  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 4
17. V. N. Berestovskii, V. M. Gichev, “Metrized semigroups”, Journal of Mathematical Sciences, 119:1 (2004), 10–29 https://link.springer.com/article/10.1023/B:JOTH.0000008737.57612.5d  mathnet  crossref  mathscinet  zmath

   2001
18. V. M. Gichev, I. A. Latypov, “Polynomially convex orbits of compact Lie groups”, Transform Groups, 6:4 (2001), 321-331  crossref  mathscinet  zmath  isi  elib  scopus 2

   2000
19. V. M. Gichev, “Attainable sets for left invariant control systems and Carnot-Caratheodory metrics on nilpotent Lie groups”, arXiv: math.OC/0003203, Trudy konferentsii “Analiz i geometriya” v chest 70-letiya Yu.G.Reshetnyaka (Novosibirsk, Akademgorodok, 1999), Izdatelstvo Instituta matematiki SO RAN, Novosibirsk, 2000, 173–185  mathscinet  zmath  adsnasa
20. Gichev V.M., “Zamechanie o polyarnykh predstavleniyakh kompaktnykh grupp Li”, Mat. struktury i modelir., 6 (2000), 29-35  mathscinet  zmath  elib
21. V. N. Berestovskii, V. M. Gichev, “Metrized left-invariant orders on topological groups”, St. Petersburg Math. J., 11:4 (2000), 543–565  mathnet  mathscinet  zmath

   1998
22. Gichev V.M., “DOMAINS WITH HOMOGENEOUS SKELETONS AND INVARIANT ALGEBRAS 3”, Vestnik Tambovskogo universiteta. Seriya: Estestvennye i tekhnicheskie nauki., 1998, no. 1 , 38-44 pp.  elib

   1995
23. V.M. Gichev, “Invariant orders in simply connected Lie groups.”, Journal of Lie Theory, 5:1 (1995), 41-79 http://www.emis.de/journals/JLT/vol.5_no.1/index.html  mathscinet  zmath
24. V. M. Gichev, “On the structure of Lie algebras admitting an invariant cone”, Semigroups in algebra, geometry and analysis, Proceedings of the conference “Invariant Ordering in Geometry and Algebra” (Oberwolfach, October 10-16, 1993), De Gruyter Expo. Math., 20, eds. Hofmann K. H., Lawson J. D., Vinberg E. B., Walter de Gruyter, Berlin, New York, 1995, 107-120  mathscinet  zmath

   1989
25. V. M. Gichev, “Invariant orderings in solvable Lie groups”, Sib. Mathematical Journal, 30:1 (1989), 44-53  mathnet  crossref  mathscinet  mathscinet  zmath  isi  isi  scopus

   1987
26. V. M. Gichev, S. M. Dobrovol’skij, “Characteristic properties of Bloch functions”, Sib. Math. J., 28:1-2 (1987), 43-46  mathnet  crossref  mathscinet  mathscinet  zmath  adsnasa  isi  isi  scopus

   1984
27. V. M. Gichev, “Invariant algebras of continuous functions on balls and Euclidean spaces”, Siberian Mathematical Journal, 25 (1984), 534-537  mathnet  crossref  mathscinet  mathscinet  zmath  zmath  isi  isi  scopus
28. V. M. Gichev, S. M. Dobrovol'skij, “Extremal invariant subspaces”, Siberian Mathematical Journal, 25 (1984), 860-872  mathnet  crossref  mathscinet  mathscinet  zmath  isi  isi  scopus

   1979
29. V. M. Gichev, “Maximal ideal spaces of invariant algebras”, Functional Analysis and Its Applications, 13:3 (1979), 216–217  mathnet  crossref  mathscinet  zmath  scopus
30. V. M. Gichev, “Invariant function algebras on Lie groups”, Siberian Mathematical Journal, 20:1, http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit# (1979), 15-25,  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  scopus

   1978
31. V. M. Gichev, “Invariant algebras of functions on Lie groups”, Functional Analysis and Its Applications, 12:2, http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit# (1978), 137–138  mathnet  crossref  mathscinet  zmath  scopus

Presentations in Math-Net.Ru
1. On maximal ideal spaces of invariant function algebras on homogeneous spaces of compact Lie groups
V. M. Gichev
Algebras in Analysis
May 5, 2023 18:00
2. Свойство разделения в случае компактных групп, действующих в вещественных линейных пространствах
V. M. Gichev
VI Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory
February 1, 2017 15:50
3. Новые проблемы алгебры и логики. Юбилейное 900-е заседание семинара
V. N. Remeslennikov, A. N. Rybalov, A. N. Shevlyakov, D. V. Solomatin, L. M. Martynov, G. A. Noskov, A. V. Treyer, A. N. Zubkov, V. P. Il'ev, V. M. Gichev
Omsk Algebraic Seminar
November 12, 2015 16:00
4. Invariant algebras of functions on homogeneous spaces
V. M. Gichev
Complex analysis and mathematical physics
April 21, 2014 16:00
5. Invariant function algebras on homogeneous spaces
V. M. Gichev
Complex analysis and mathematical physics
November 18, 2013 16:00
6. Инвариантные упорядочения односвязных групп Ли
V. M. Gichev
Lie groups and invariant theory
March 5, 2008

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