Persons: Gichev, Viсtor Matveevich

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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:	1620
Abstract pages:	3220
Full texts:	1166
References:	450

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:

V. M. Gichev, “Some remarks on spherical harmonics”, St. Petersburg Math. J., 20:4 (2009), 553–567 , arXiv: 0705.2547v3
V. M. Gichev, “Invariant Function Algebras on Compact Commutative Homogeneous Spaces”, Mosc. Math. J., 8:4 (2008), 697–709 , arXiv: arXiv:0907.2744
V. M. Gichev, I. A. Latypov, “Polynomially convex orbits of compact Lie groups”, Transform Groups, 6:4 (2001), 321-331
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
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,

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)

1.	V. N. Berestovskii, V. M. Gichev, “Metrized left-invariant orders on topological groups”, St. Petersburg Math. J., 11:4 (2000), 543–565
2.	V. M. Gichev, “Some remarks on spherical harmonics”, St. Petersburg Math. J., 20:4 (2009), 553–567 , arXiv: 0705.2547v3
3.	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	4 ^[x]
4.	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,
5.	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
6.	V. M. Gichev, I. A. Latypov, “Polynomially convex orbits of compact Lie groups”, Transform Groups, 6:4 (2001), 321-331	2 ^[x]
7.	V. M. Gichev, “Maximal ideal spaces of invariant algebras”, Functional Analysis and Its Applications, 13:3 (1979), 216–217
8.	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
9.	V. M. Gichev, “Factorization of special harmonic polynomials of three variables”, Sib. elektron. matem. izv., 17 (2020), 1299–1312 ;	1 ^[x]
10.	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	1 ^[x]
11.	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	1 ^[x]
12.	V. M. Gichev, “Invariant Function Algebras on Compact Commutative Homogeneous Spaces”, Mosc. Math. J., 8:4 (2008), 697–709 , arXiv: arXiv:0907.2744	1 ^[x]
13.	V. M. Gichev, O. S. Morozov, “On Flat Complete Causal Lorentzian Manifolds”, Geometriae Dedicata, 116 (2005), 37-59 , arXiv: math/0508633	1 ^[x]
14.	V. M. Gichev, “Invariant orderings in solvable Lie groups”, Sib. Mathematical Journal, 30:1 (1989), 44-53
15.	V. M. Gichev, S. M. Dobrovol’skij, “Characteristic properties of Bloch functions”, Sib. Math. J., 28:1-2 (1987), 43-46
16.	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
17.	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
18.	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
19.	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
20.	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
21.	V. M. Gichev, Maximal ideal spaces of invariant function algebras on compact groups, 2006 , 46 pp., arXiv: https://arxiv.org/pdf/math/0603449.pdf
22.	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
23.	Gichev V.M., “Zamechanie o polyarnykh predstavleniyakh kompaktnykh grupp Li”, Mat. struktury i modelir., 6 (2000), 29-35
24.	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.
25.	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
26.	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
27.	V. M. Gichev, “Invariant algebras of continuous functions on balls and Euclidean spaces”, Siberian Mathematical Journal, 25 (1984), 534-537
28.	V. M. Gichev, S. M. Dobrovol'skij, “Extremal invariant subspaces”, Siberian Mathematical Journal, 25 (1984), 860-872
29.	V. M. Gichev, “Maximal ideal spaces of invariant function algebras on compact groups”, Siberian Adv. Math., 33:2 (2023), 107–139
30.	V. M. Gichev, “Completely reducible factors of harmonic polynomials of three variables”, Mat. Tr., 24:2 (2021), 24–36
31.	V. Gichev, “The Kostlan–Shub–Smale random polynomials in the case of growing number of variables”, Sib. elektron. matem. izv., 16 (2019), 217–228

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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