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Abanin, Aleksandr Vasil’evich

Author ID: abanin.aleksandr-vasilevich Recent zbMATH articles by "Abanin, Aleksandr Vasil’evich"
Published as: Abanin, A. V.; Abanin, Alexander V.; Abanin, Aleksandr Vasil’evich; Abanin, A. A.
Further Spellings: Абанин Александр Васильевич
External Links: Math-Net.Ru
Documents Indexed: 88 Publications since 1979
Biographic References: 2 Publications
Co-Authors: 68 Co-Authors with 55 Joint Publications
1,355 Co-Co-Authors
all top 5

Co-Authors

33 single-authored
15 Lê Hai Khôi
13 Phạm Trọng Tiến
8 Kusraev, Anatoly Georgievich
7 Korobeĭnik, Yuriĭ Fëdorovich
5 Karyakin, Mikhail I.
5 Shabarshina, Irina S.
4 Ishimura, Ryuichi
4 Klimentov, Sergeĭ Borisovich
4 Nalbandyan, Yuliya Sergeevna
3 Umarkhadzhiev, Salaudin Musaevich
3 Vatulyan, Aleksandr Ovanesovich
2 Andreeva, Tat’yana Mikhaĭlovna
2 Askhabov, Sultan Nazhmudinovich
2 Kiryutenko, Yu. A.
2 Kutateladze, Semën Samsonovich
2 Melikhov, Sergeĭ Nikolaevich
2 Petrov, Sergey V.
2 Semenova, G. A.
2 Soldatov, Aleksandr Pavlovich
2 Umarov, Khasan Galsanovich
2 Ustinov, Yuriĭ Anatol’evich
2 Varziev, V. A.
2 Vodop’yanov, Sergeĭ Konstantinovich
1 Abanina, D. A.
1 Abanina, T. I.
1 Avsyankin, Oleg Gennadievich
1 Basaeva, Elena K.
1 Belokon, A. V.
1 Bogachev, V. A.
1 Bostanov, Ramazan Alievich
1 Braichev, Georgiĭ Genrikhovich
1 Burenkov, Viktor Ivanovich
1 Dragilev, Mikhail Mikhaĭlovich
1 Efimov, Anatoliĭ Ivanovich
1 Erusalimskii, Yakov M.
1 Fetisov, V. G.
1 Filip’ev, I. A.
1 Gol’dman, Mikhail L’vovich
1 Guliyev, Vagif Sabir
1 Gutman, Aleksandr Efimovich
1 Ha Huy Bang
1 Karapetyants, Alekseĭ Nikolaevich
1 Khudalov, Marat Zakharovich
1 Koĭbaev, Vladimir Amurkhanovich
1 Kokilashvili, Vakhtang Mikhailovich
1 Korablina, Yuliya Viktorovna
1 Liflyand, Elijah
1 Mal’tsev, I. M.
1 Mikhailov, Alexander Vasil’evich
1 Nasedkin, Andrey V.
1
1 Pham Chong Tien
1 Pham, Chong Tien
1 Pskhu, Arsen Vladimirovich
1 Pulyaev, V. F.
1 Rabinovich, Vladimir Samuilovich
1 Rogosin, Sergei V.
1 Rubin, Boris
1 Sergunin, P. S.
1 Sherstyukov, Vladimir Borisovich
1 Spitkovsky, Ilya Matvey
1 Stepanov, Vladimir Dmitrievich
1 Stukopin, Vladimir Alekseevich
1 Tasoev, Batradz Botazovich
1 Tishchenko, E. S.
1 Vakulov, Boris Grigorievich
1 Yavruyan, O. V.
1 Zakharov, Vladimir Evgen’evich
1 Zakharyuta, Vyacheslav Pavlovich
1 Zhiber, Anatoliĭ Vasil’evich

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 190 times in 83 Documents Cited by Year
Nontrivial expansions of zero absolutely representing systems. Zbl 0890.46002
Abanin, A. V.
12
1995
Dual of the function algebra \(A^{-\infty }(D)\) and representation of functions in Dirichlet series. Zbl 1205.32004
Abanin, A. V.; Khoi, Le Hai
12
2010
Differentiation and integration operators on weighted Banach spaces of holomorphic functions. Zbl 1420.47010
Abanin, Alexander V.; Pham Trong Tien
12
2017
Analytic implementation of the duals of some spaces of infinitely differentiable functions. Zbl 1115.46018
Abanin, A. V.; Filip’ev, I. A.
9
2006
Pre-dual of the function algebra \(A^{-\infty}(D)\) and representation of functions in Dirichlet series. Zbl 1275.32008
Abanin, A. V.; Khoi, Le Hai
8
2011
Continuation of holomorphic functions with growth conditions and some of its applications. Zbl 1209.32002
Abanin, Alexander V.; Tien, Pham Trong
8
2010
Compactness of classical operators on weighted Banach spaces of holomorphic functions. Zbl 1489.47056
Abanin, Alexander V.; Pham Trong Tien
8
2018
Division theorem in some weighted spaces of entire functions. Zbl 1221.30070
Abanin, A. V.; Abanina, D. A.
6
2010
The spaces of \(\Omega\)-ultradifferentiable functions and \(\Omega\)-ultradistributions. Zbl 1272.46034
Abanin, A. V.
6
2005
On the duality between \(A^{-\infty }(D)\) and \(A^{-\infty }_D\) for convex domains. Zbl 1177.46016
Abanin, Alexander V.; Khoi, Le Hai
6
2009
Surjectivity criteria for convolution operators in \(A^{-\infty}\). (Critères de surjectivité pour des opérateurs de convolution dans \(A^{-\infty}\).) Zbl 1190.32001
Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai
6
2010
Convolution operators in \(A^{-\infty}\) for convex domains. Zbl 1254.32009
Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai
6
2012
Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces. Zbl 1275.30032
Abanin, Alexander V.; Tien, Pham Trong
6
2012
Certain criteria for weak sufficiency. Zbl 0625.46030
Abanin, A. V.
6
1986
Almost subadditive weight functions form Braun-Meise-Taylor theory of ultradistributions. Zbl 1194.46058
Abanin, Alexander V.; Pham, Trong Tien
5
2010
Minimal absolutely representing systems of exponentials for \(A^{-\infty}(\varOmega)\). Zbl 1276.30008
Abanin, A. V.; Khoi, Le Hai; Nalbandyan, Yu. S.
5
2011
On some weak sufficiency tests. Zbl 0617.46032
Abanin, A. V.
5
1986
Topological structure in the space of (weighted) composition operators on weighted Banach spaces of holomorphic functions. Zbl 1450.47013
Abanin, Alexander V.; Le Hai Khoi; Pham Trong Tien
5
2020
Characterization of minimal systems of power’s indices for representative systems of generalized exponents. Zbl 0736.30003
Abanin, A. V.
4
1991
Dense spaces and analytical multiplicators. Zbl 1075.32501
Abanin, A. V.
4
1994
Exponential-polynomial bases for null spaces of convolution operators in \(A^{-\infty}\). Zbl 1251.30059
Abanin, A. V.; Ishimura, R.; Khoi, Le Hai
3
2011
Mutual dualities between \(A^{-\infty}(\Omega)\) and \(A^{\infty}(\widetilde{\Omega})\) for lineally convex domains. Zbl 1287.46034
Abanin, A. V.; Khoi, L. H.
3
2013
Erratum to: “Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces”. Zbl 1275.30033
Abanin, Alexander V.; Tien, Pham Trong
3
2013
Cauchy-Fantappiè transformation and mutual dualities between \(A^{- \infty}(\varOmega)\) and \(A^\infty(\tilde {\varOmega})\) for lineally convex domains. Zbl 1257.32004
Abanin, A. V.; Khoi, Le Hai
3
2011
Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains. Zbl 1239.47024
Abanin, A. V.; Ishimura, R.; Le Hai Khoi
3
2012
Extension and stability of weakly sufficient sets. Zbl 0623.32004
Abanin, A. V.
3
1987
On Whitney’s extension theorem for spaces of ultradifferentiable functions. Zbl 0989.46019
Abanin, A. V.
3
2001
Distribution of the exponents of representing systems of generalized exponential functions. Zbl 0726.30006
Abanin, A. V.
2
1991
Absolutely representative exponent systems of minimal type in function spaces with given growth near the boundary. Zbl 0842.30003
Abanin, A. V.; Nalbandyan, Yu. S.
2
1993
Sufficient sets in weighted Fréchet spaces of entire functions. Zbl 1290.46016
Abanin, A. V.; Varziev, V. A.
2
2013
Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth. Zbl 1319.30047
Abanin, A. V.; Khoi, Le Hai
2
2015
Cauchy transformation and mutual dualities between \(A^{-\infty}(\Omega)\) and \(A^\infty(\complement\Omega)\) for Carathéodory domains. Zbl 1357.46021
Abanin, A. V.; Khoi, Le Hai
2
2016
The algebraic equalities and their topological consequences in weighted spaces. Zbl 1319.46021
Abanin, Alexander V.; Tien, Pham Trong
2
2015
Effective and sampling sets for Hörmander spaces. Zbl 1409.32003
Abanin, Alexander V.
2
2018
Invariant subspaces for classical operators on weighted spaces of holomorphic functions. Zbl 1480.47044
Abanin, Alexander V.; Pham Trong Tien
2
2017
Composition operators on Hilbert spaces of entire functions. Zbl 06835429
Abanin, A. V.; Abanina, T. I.
2
2017
Spaces of ultradifferentiable functions and a generalization of the Paley-Wiener-Schwartz theorem. Zbl 0920.46032
Abanin, A. V.; Tishchenko, E. S.
1
1997
Geometric criteria for representation of analytic functions by series of generalized exponentials. Zbl 0791.30002
Abanin, A. V.
1
1992
On an application of weakly sufficient sets. Zbl 1299.47055
Abanin, A. V.
1
2005
Modification of L. Hörmander’s method in problems on generators and its applications. Zbl 0858.46004
Abanin, A. V.
1
1995
\( \Omega\)-ultradistributions. Zbl 1162.46023
Abanin, A. V.
1
2008
Minimal absolutely representing systems of exponential functions in spaces of analytic functions with given boundary smoothness. Zbl 1326.30005
Abanin, A. V.; Petrov, S. V.
1
2012
On the distribution of effective sets and inside-continuability of representing Mittag-Leffler systems. Zbl 0525.30004
Abanin, A. V.
1
1983
On the property \((Y_ 0)\). Zbl 0539.46002
Abanin, A. A.
1
1981
Path components of the space of (weighted) composition operators on Bergman spaces. Zbl 07345250
Abanin, Alexander V.; Le Hai Khoi; Pham Trong Tien
1
2021
Classical operators in weighted Banach spaces of holomorphic functions. Zbl 07123851
Abanin, A. V.; Tien, Pham Trong
1
2019
Analytic description of the spaces dual to spaces of holomorphic functions of given growth on Carathéodory domains. Zbl 1411.30042
Abanin, A. V.; Andreeva, T. M.
1
2018
Sampling sets for the space of holomorphic functions of polynomial growth in a ball. Zbl 1463.32009
Abanin, Aleksandr Vasil’evich
1
2015
Path components of the space of (weighted) composition operators on Bergman spaces. Zbl 07345250
Abanin, Alexander V.; Le Hai Khoi; Pham Trong Tien
1
2021
Topological structure in the space of (weighted) composition operators on weighted Banach spaces of holomorphic functions. Zbl 1450.47013
Abanin, Alexander V.; Le Hai Khoi; Pham Trong Tien
5
2020
Classical operators in weighted Banach spaces of holomorphic functions. Zbl 07123851
Abanin, A. V.; Tien, Pham Trong
1
2019
Compactness of classical operators on weighted Banach spaces of holomorphic functions. Zbl 1489.47056
Abanin, Alexander V.; Pham Trong Tien
8
2018
Effective and sampling sets for Hörmander spaces. Zbl 1409.32003
Abanin, Alexander V.
2
2018
Analytic description of the spaces dual to spaces of holomorphic functions of given growth on Carathéodory domains. Zbl 1411.30042
Abanin, A. V.; Andreeva, T. M.
1
2018
Differentiation and integration operators on weighted Banach spaces of holomorphic functions. Zbl 1420.47010
Abanin, Alexander V.; Pham Trong Tien
12
2017
Invariant subspaces for classical operators on weighted spaces of holomorphic functions. Zbl 1480.47044
Abanin, Alexander V.; Pham Trong Tien
2
2017
Composition operators on Hilbert spaces of entire functions. Zbl 06835429
Abanin, A. V.; Abanina, T. I.
2
2017
Cauchy transformation and mutual dualities between \(A^{-\infty}(\Omega)\) and \(A^\infty(\complement\Omega)\) for Carathéodory domains. Zbl 1357.46021
Abanin, A. V.; Khoi, Le Hai
2
2016
Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth. Zbl 1319.30047
Abanin, A. V.; Khoi, Le Hai
2
2015
The algebraic equalities and their topological consequences in weighted spaces. Zbl 1319.46021
Abanin, Alexander V.; Tien, Pham Trong
2
2015
Sampling sets for the space of holomorphic functions of polynomial growth in a ball. Zbl 1463.32009
Abanin, Aleksandr Vasil’evich
1
2015
Mutual dualities between \(A^{-\infty}(\Omega)\) and \(A^{\infty}(\widetilde{\Omega})\) for lineally convex domains. Zbl 1287.46034
Abanin, A. V.; Khoi, L. H.
3
2013
Erratum to: “Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces”. Zbl 1275.30033
Abanin, Alexander V.; Tien, Pham Trong
3
2013
Sufficient sets in weighted Fréchet spaces of entire functions. Zbl 1290.46016
Abanin, A. V.; Varziev, V. A.
2
2013
Convolution operators in \(A^{-\infty}\) for convex domains. Zbl 1254.32009
Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai
6
2012
Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces. Zbl 1275.30032
Abanin, Alexander V.; Tien, Pham Trong
6
2012
Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains. Zbl 1239.47024
Abanin, A. V.; Ishimura, R.; Le Hai Khoi
3
2012
Minimal absolutely representing systems of exponential functions in spaces of analytic functions with given boundary smoothness. Zbl 1326.30005
Abanin, A. V.; Petrov, S. V.
1
2012
Pre-dual of the function algebra \(A^{-\infty}(D)\) and representation of functions in Dirichlet series. Zbl 1275.32008
Abanin, A. V.; Khoi, Le Hai
8
2011
Minimal absolutely representing systems of exponentials for \(A^{-\infty}(\varOmega)\). Zbl 1276.30008
Abanin, A. V.; Khoi, Le Hai; Nalbandyan, Yu. S.
5
2011
Exponential-polynomial bases for null spaces of convolution operators in \(A^{-\infty}\). Zbl 1251.30059
Abanin, A. V.; Ishimura, R.; Khoi, Le Hai
3
2011
Cauchy-Fantappiè transformation and mutual dualities between \(A^{- \infty}(\varOmega)\) and \(A^\infty(\tilde {\varOmega})\) for lineally convex domains. Zbl 1257.32004
Abanin, A. V.; Khoi, Le Hai
3
2011
Dual of the function algebra \(A^{-\infty }(D)\) and representation of functions in Dirichlet series. Zbl 1205.32004
Abanin, A. V.; Khoi, Le Hai
12
2010
Continuation of holomorphic functions with growth conditions and some of its applications. Zbl 1209.32002
Abanin, Alexander V.; Tien, Pham Trong
8
2010
Division theorem in some weighted spaces of entire functions. Zbl 1221.30070
Abanin, A. V.; Abanina, D. A.
6
2010
Surjectivity criteria for convolution operators in \(A^{-\infty}\). (Critères de surjectivité pour des opérateurs de convolution dans \(A^{-\infty}\).) Zbl 1190.32001
Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai
6
2010
Almost subadditive weight functions form Braun-Meise-Taylor theory of ultradistributions. Zbl 1194.46058
Abanin, Alexander V.; Pham, Trong Tien
5
2010
On the duality between \(A^{-\infty }(D)\) and \(A^{-\infty }_D\) for convex domains. Zbl 1177.46016
Abanin, Alexander V.; Khoi, Le Hai
6
2009
\( \Omega\)-ultradistributions. Zbl 1162.46023
Abanin, A. V.
1
2008
Analytic implementation of the duals of some spaces of infinitely differentiable functions. Zbl 1115.46018
Abanin, A. V.; Filip’ev, I. A.
9
2006
The spaces of \(\Omega\)-ultradifferentiable functions and \(\Omega\)-ultradistributions. Zbl 1272.46034
Abanin, A. V.
6
2005
On an application of weakly sufficient sets. Zbl 1299.47055
Abanin, A. V.
1
2005
On Whitney’s extension theorem for spaces of ultradifferentiable functions. Zbl 0989.46019
Abanin, A. V.
3
2001
Spaces of ultradifferentiable functions and a generalization of the Paley-Wiener-Schwartz theorem. Zbl 0920.46032
Abanin, A. V.; Tishchenko, E. S.
1
1997
Nontrivial expansions of zero absolutely representing systems. Zbl 0890.46002
Abanin, A. V.
12
1995
Modification of L. Hörmander’s method in problems on generators and its applications. Zbl 0858.46004
Abanin, A. V.
1
1995
Dense spaces and analytical multiplicators. Zbl 1075.32501
Abanin, A. V.
4
1994
Absolutely representative exponent systems of minimal type in function spaces with given growth near the boundary. Zbl 0842.30003
Abanin, A. V.; Nalbandyan, Yu. S.
2
1993
Geometric criteria for representation of analytic functions by series of generalized exponentials. Zbl 0791.30002
Abanin, A. V.
1
1992
Characterization of minimal systems of power’s indices for representative systems of generalized exponents. Zbl 0736.30003
Abanin, A. V.
4
1991
Distribution of the exponents of representing systems of generalized exponential functions. Zbl 0726.30006
Abanin, A. V.
2
1991
Extension and stability of weakly sufficient sets. Zbl 0623.32004
Abanin, A. V.
3
1987
Certain criteria for weak sufficiency. Zbl 0625.46030
Abanin, A. V.
6
1986
On some weak sufficiency tests. Zbl 0617.46032
Abanin, A. V.
5
1986
On the distribution of effective sets and inside-continuability of representing Mittag-Leffler systems. Zbl 0525.30004
Abanin, A. V.
1
1983
On the property \((Y_ 0)\). Zbl 0539.46002
Abanin, A. A.
1
1981

Citations by Year