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## Abanin, Aleksandr Vasil’evich

Compute Distance To:
 Author ID: abanin.aleksandr-vasilevich Published as: Abanin, A. V.; Abanin, Aleksandr Vasil’evich; Abanin, Alexander V.
 Documents Indexed: 83 Publications since 1979 Biographic References: 2 Publications
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#### Co-Authors

 32 single-authored 13 Lê Hai Khôi 12 Phạm Trọng Tiến 7 Korobeĭnik, Yuriĭ Fedorovich 6 Kusraev, Anatoly Georgievich 5 Shabarshina, Irina S. 4 Ishimura, Ryuichi 3 Karyakin, M. I. 3 Nalbandyan, Yu. S. 2 Andreeva, Tat’yana Mikhaĭlovna 2 Askhabov, Sultan Nazhmudinovich 2 Borisov, Adrijan Varbanov 2 Klimentov, S. B. 2 Klimentov, Sergeĭ Borisovich 2 Kutateladze, Semën Samsonovich 2 Petrov, Sergey V. 2 Semenova, G. A. 2 Umarkhadzhiev, Salaudin Musaevich 2 Varziev, V. A. 2 Vatulyan, Aleksandr Ovanesovich 1 Abanina, D. A. 1 Abanina, T. I. 1 Basaeva, Elena K. 1 Belokon, A. V. 1 Bostanov, R. A. 1 Dragilev, Mikhail Mikhaĭlovich 1 Efimov, Anatoliĭ Ivanovich 1 Fetisov, V. G. 1 Filip’ev, I. A. 1 Gutman, Aleksandr Efimovich 1 Khudalov, M. Z. 1 Kiryutenko, Yu. A. 1 Koibaev, Vladimir Amurkhanovich 1 Makhnev, Aleksandr Aleksandrovich jun. 1 Melikhov, Sergeĭ Nikolaevich 1 Mikhailov, Alexander Vasil’evich 1 Nasedkin, Andrey V. 1 Pham Chong Tien 1 Pulyaev, V. F. 1 Sergunin, P. S. 1 Soldatov, Aleksandr Pavlovich 1 Stukopin, Vladimir Alekseevich 1 Tasoev, Batradz Botazovich 1 Tishchenko, E. S. 1 Umarov, Khasan Galsanovich 1 Ustinov, Yuriĭ Anatol’evich 1 Vodop’yanov, Sergeĭ Konstantinovich 1 Yavruyan, O. V. 1 Zakharov, Vladimir Evgen’evich 1 Zakharyuta, Vyacheslav Pavlovich 1 Zhiber, Anatoliĭ Vasil’evich
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#### Serials

 18 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 8 Mathematical Notes 6 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki 5 Russian Mathematics 4 Doklady Mathematics 3 Matematicheskie Zametki 3 Studia Mathematica 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Complex Analysis and Operator Theory 2 Journal of Mathematical Analysis and Applications 2 Mathematische Nachrichten 2 Soviet Mathematics 2 Izvestiya Severo-Kavkazskogo Nauchnogo Tsentra Vyssheĭ Shkoly. Estestvennye Nauki 2 Bulletin des Sciences Mathématiques 1 Arkiv för Matematik 1 Collectanea Mathematica 1 Functional Analysis and its Applications 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Izvestiya: Mathematics 1 Complex Variables and Elliptic Equations 1 Ufimskiĭ Matematicheskiĭ Zhurnal
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#### Fields

 48 Functional analysis (46-XX) 29 Functions of a complex variable (30-XX) 25 Several complex variables and analytic spaces (32-XX) 12 Operator theory (47-XX) 8 History and biography (01-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH

38 Publications have been cited 144 times in 57 Documents Cited by Year
Dual of the function algebra $$A^{-\infty }(D)$$ and representation of functions in Dirichlet series. Zbl 1205.32004
Abanin, A. V.; Khoi, Le Hai
2010
Differentiation and integration operators on weighted Banach spaces of holomorphic functions. Zbl 1420.47010
Abanin, Alexander V.; Pham Trong Tien
2017
Nontrivial expansions of zero absolutely representing systems. Zbl 0890.46002
Abanin, A. V.
1995
Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces. Zbl 1275.30032
Abanin, Alexander V.; Tien, Pham Trong
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
2011
Continuation of holomorphic functions with growth conditions and some of its applications. Zbl 1209.32002
Abanin, Alexander V.; Tien, Pham Trong
2010
Analytic implementation of the duals of some spaces of infinitely differentiable functions. Zbl 1115.46018
Abanin, A. V.; Filip’ev, I. A.
2006
Compactness of classical operators on weighted Banach spaces of holomorphic functions. Zbl 06841305
Abanin, Alexander V.; Tien, Pham Trong
2018
Surjectivity criteria for convolution operators in $$A^{-\infty}$$. Zbl 1190.32001
Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai
2010
On the duality between $$A^{-\infty }(D)$$ and $$A^{-\infty }_D$$ for convex domains. Zbl 1177.46016
Abanin, Alexander V.; Khoi, Le Hai
2009
Certain criteria for weak sufficiency. Zbl 0625.46030
Abanin, A. V.
1986
Convolution operators in $$A^{-\infty}$$ for convex domains. Zbl 1254.32009
Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai
2012
On some weak sufficiency tests. Zbl 0617.46032
Abanin, A. V.
1986
Minimal absolutely representing systems of exponentials for $$A^{-\infty}(\varOmega)$$. Zbl 1276.30008
Abanin, A. V.; Khoi, Le Hai; Nalbandyan, Yu. S.
2011
Division theorem in some weighted spaces of entire functions. Zbl 1221.30070
Abanin, A. V.; Abanina, D. A.
2010
Abanin, Alexander V.; Pham, Trong Tien
2010
Dense spaces and analytical multiplicators. Zbl 1075.32501
Abanin, A. V.
1994
Characterization of minimal systems of power’s indices for representative systems of generalized exponents. Zbl 0736.30003
Abanin, A. V.
1991
Erratum to: “Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces”. Zbl 1275.30033
Abanin, Alexander V.; Tien, Pham Trong
2013
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
2012
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
2011
Exponential-polynomial bases for null spaces of convolution operators in $$A^{-\infty}$$. Zbl 1251.30059
Abanin, A. V.; Ishimura, R.; Khoi, Le Hai
2011
The spaces of $$\Omega$$-ultradifferentiable functions and $$\Omega$$-ultradistributions. Zbl 1272.46034
Abanin, A. V.
2005
Extension and stability of weakly sufficient sets. Zbl 0623.32004
Abanin, A. V.
1987
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
2016
The algebraic equalities and their topological consequences in weighted spaces. Zbl 1319.46021
Abanin, Alexander V.; Tien, Pham Trong
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.
2013
Effective and sampling sets for Hörmander spaces. Zbl 1409.32003
Abanin, Alexander V.
2018
Invariant subspaces for classical operators on weighted spaces of holomorphic functions. Zbl 06819721
Abanin, Alexander V.; Tien, Pham Trong
2017
Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth. Zbl 1319.30047
Abanin, A. V.; Khoi, Le Hai
2015
On an application of weakly sufficient sets. Zbl 1299.47055
Abanin, A. V.
2005
On Whitney’s extension theorem for spaces of ultradifferentiable functions. Zbl 0989.46019
Abanin, A. V.
2001
Spaces of ultradifferentiable functions and a generalization of the Paley-Wiener-Schwartz theorem. Zbl 0920.46032
Abanin, A. V.; Tishchenko, E. S.
1997
Modification of L. Hörmander’s method in problems on generators and its applications. Zbl 0858.46004
Abanin, A. V.
1995
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.
1993
Geometric criteria for representation of analytic functions by series of generalized exponentials. Zbl 0791.30002
Abanin, A. V.
1992
Distribution of the exponents of representing systems of generalized exponential functions. Zbl 0726.30006
Abanin, A. V.
1991
On the distribution of effective sets and inside-continuability of representing Mittag-Leffler systems. Zbl 0525.30004
Abanin, A. V.
1983
Compactness of classical operators on weighted Banach spaces of holomorphic functions. Zbl 06841305
Abanin, Alexander V.; Tien, Pham Trong
2018
Effective and sampling sets for Hörmander spaces. Zbl 1409.32003
Abanin, Alexander V.
2018
Differentiation and integration operators on weighted Banach spaces of holomorphic functions. Zbl 1420.47010
Abanin, Alexander V.; Pham Trong Tien
2017
Invariant subspaces for classical operators on weighted spaces of holomorphic functions. Zbl 06819721
Abanin, Alexander V.; Tien, Pham Trong
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
2016
The algebraic equalities and their topological consequences in weighted spaces. Zbl 1319.46021
Abanin, Alexander V.; Tien, Pham Trong
2015
Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth. Zbl 1319.30047
Abanin, A. V.; Khoi, Le Hai
2015
Erratum to: “Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces”. Zbl 1275.30033
Abanin, Alexander V.; Tien, Pham Trong
2013
Mutual dualities between $$A^{-\infty}(\Omega)$$ and $$A^{\infty}(\widetilde{\Omega})$$ for lineally convex domains. Zbl 1287.46034
Abanin, A. V.; Khoi, L. H.
2013
Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces. Zbl 1275.30032
Abanin, Alexander V.; Tien, Pham Trong
2012
Convolution operators in $$A^{-\infty}$$ for convex domains. Zbl 1254.32009
Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai
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
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
2011
Minimal absolutely representing systems of exponentials for $$A^{-\infty}(\varOmega)$$. Zbl 1276.30008
Abanin, A. V.; Khoi, Le Hai; Nalbandyan, Yu. S.
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
2011
Exponential-polynomial bases for null spaces of convolution operators in $$A^{-\infty}$$. Zbl 1251.30059
Abanin, A. V.; Ishimura, R.; Khoi, Le Hai
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
2010
Continuation of holomorphic functions with growth conditions and some of its applications. Zbl 1209.32002
Abanin, Alexander V.; Tien, Pham Trong
2010
Surjectivity criteria for convolution operators in $$A^{-\infty}$$. Zbl 1190.32001
Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai
2010
Division theorem in some weighted spaces of entire functions. Zbl 1221.30070
Abanin, A. V.; Abanina, D. A.
2010
Abanin, Alexander V.; Pham, Trong Tien
2010
On the duality between $$A^{-\infty }(D)$$ and $$A^{-\infty }_D$$ for convex domains. Zbl 1177.46016
Abanin, Alexander V.; Khoi, Le Hai
2009
Analytic implementation of the duals of some spaces of infinitely differentiable functions. Zbl 1115.46018
Abanin, A. V.; Filip’ev, I. A.
2006
The spaces of $$\Omega$$-ultradifferentiable functions and $$\Omega$$-ultradistributions. Zbl 1272.46034
Abanin, A. V.
2005
On an application of weakly sufficient sets. Zbl 1299.47055
Abanin, A. V.
2005
On Whitney’s extension theorem for spaces of ultradifferentiable functions. Zbl 0989.46019
Abanin, A. V.
2001
Spaces of ultradifferentiable functions and a generalization of the Paley-Wiener-Schwartz theorem. Zbl 0920.46032
Abanin, A. V.; Tishchenko, E. S.
1997
Nontrivial expansions of zero absolutely representing systems. Zbl 0890.46002
Abanin, A. V.
1995
Modification of L. Hörmander’s method in problems on generators and its applications. Zbl 0858.46004
Abanin, A. V.
1995
Dense spaces and analytical multiplicators. Zbl 1075.32501
Abanin, A. V.
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.
1993
Geometric criteria for representation of analytic functions by series of generalized exponentials. Zbl 0791.30002
Abanin, A. V.
1992
Characterization of minimal systems of power’s indices for representative systems of generalized exponents. Zbl 0736.30003
Abanin, A. V.
1991
Distribution of the exponents of representing systems of generalized exponential functions. Zbl 0726.30006
Abanin, A. V.
1991
Extension and stability of weakly sufficient sets. Zbl 0623.32004
Abanin, A. V.
1987
Certain criteria for weak sufficiency. Zbl 0625.46030
Abanin, A. V.
1986
On some weak sufficiency tests. Zbl 0617.46032
Abanin, A. V.
1986
On the distribution of effective sets and inside-continuability of representing Mittag-Leffler systems. Zbl 0525.30004
Abanin, A. V.
1983
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#### Cited by 38 Authors

 24 Abanin, Aleksandr Vasil’evich 10 Lê Hai Khôi 10 Phạm Trọng Tiến 7 Polyakova, Dar’ya Aleksandrovna 3 Abanina, D. A. 3 Bonet Solves, José 3 Ishimura, Ryuichi 3 Khabibullin, Bulat Nurmievich 3 Melikhov, Sergeĭ Nikolaevich 2 Andreeva, Tat’yana Mikhaĭlovna 2 Isaev, Konstantin Petrovich 2 Mengestie, Tesfa Y. 2 Sherstyukov, Vladimir Borisovich 1 Baĭguskarov, Timur Yulaevich 1 Baladai, R. A. 1 Domański, Pawel Jan 1 Doubtsov, Evgueni Sergeevich 1 Eghbali, Nasrin 1 Galbis, Antonio 1 Gao, Chaobang 1 Gustafsson, Anders 1 Han, Tianyong 1 Ivanova, Ol’ga Aleksandrovna 1 Khanina, L. V. 1 Korobeĭnik, Yuriĭ Fedorovich 1 Langenbruch, Michael 1 Maergoiz, Lev Sergeevich 1 Momm, Siegfried 1 Nalbandyan, Yu. S. 1 Pirasteh, Maryam M. 1 Sanatpour, Amir Hossein 1 Talipova, Galiya Rifkatovna 1 Trounov, K. V. 1 Ueki, Sei-ichiro 1 Varziev, V. A. 1 Wen, Jiajin 1 Worku, Mafuz 1 Yulmukhametov, Rinad Salavatovich
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#### Cited in 24 Serials

 6 Mathematical Notes 6 Russian Mathematics 5 Siberian Mathematical Journal 5 Complex Analysis and Operator Theory 4 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Sciences (New York) 3 St. Petersburg Mathematical Journal 2 Integral Equations and Operator Theory 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Bulletin des Sciences Mathématiques 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Computational Methods and Function Theory 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Computers & Mathematics with Applications 1 Arkiv för Matematik 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Journal of Approximation Theory 1 Sbornik: Mathematics 1 Complex Variables and Elliptic Equations 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Analysis and Mathematical Physics
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#### Cited in 13 Fields

 37 Functional analysis (46-XX) 25 Functions of a complex variable (30-XX) 17 Operator theory (47-XX) 14 Several complex variables and analytic spaces (32-XX) 5 Integral transforms, operational calculus (44-XX) 3 Ordinary differential equations (34-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 1 Number theory (11-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX)