Edit Profile Abanin, Aleksandr Vasil’evich Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1205.32004Abanin, A. V.; Khoi, Le Hai 10 2010 Differentiation and integration operators on weighted Banach spaces of holomorphic functions. Zbl 1420.47010Abanin, Alexander V.; Pham Trong Tien 9 2017 Nontrivial expansions of zero absolutely representing systems. Zbl 0890.46002Abanin, A. V. 8 1995 Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces. Zbl 1275.30032Abanin, Alexander V.; Tien, Pham Trong 7 2012 Pre-dual of the function algebra \(A^{-\infty}(D)\) and representation of functions in Dirichlet series. Zbl 1275.32008Abanin, A. V.; Khoi, Le Hai 7 2011 Continuation of holomorphic functions with growth conditions and some of its applications. Zbl 1209.32002Abanin, Alexander V.; Tien, Pham Trong 7 2010 Analytic implementation of the duals of some spaces of infinitely differentiable functions. Zbl 1115.46018Abanin, A. V.; Filip’ev, I. A. 7 2006 Compactness of classical operators on weighted Banach spaces of holomorphic functions. Zbl 06841305Abanin, Alexander V.; Tien, Pham Trong 6 2018 Surjectivity criteria for convolution operators in \(A^{-\infty}\). Zbl 1190.32001Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai 6 2010 On the duality between \(A^{-\infty }(D)\) and \(A^{-\infty }_D\) for convex domains. Zbl 1177.46016Abanin, Alexander V.; Khoi, Le Hai 6 2009 Certain criteria for weak sufficiency. Zbl 0625.46030Abanin, A. V. 6 1986 Convolution operators in \(A^{-\infty}\) for convex domains. Zbl 1254.32009Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai 5 2012 On some weak sufficiency tests. Zbl 0617.46032Abanin, A. V. 5 1986 Minimal absolutely representing systems of exponentials for \(A^{-\infty}(\varOmega)\). Zbl 1276.30008Abanin, A. V.; Khoi, Le Hai; Nalbandyan, Yu. S. 4 2011 Division theorem in some weighted spaces of entire functions. Zbl 1221.30070Abanin, A. V.; Abanina, D. A. 4 2010 Almost subadditive weight functions form Braun-Meise-Taylor theory of ultradistributions. Zbl 1194.46058Abanin, Alexander V.; Pham, Trong Tien 4 2010 Dense spaces and analytical multiplicators. Zbl 1075.32501Abanin, A. V. 4 1994 Characterization of minimal systems of power’s indices for representative systems of generalized exponents. Zbl 0736.30003Abanin, A. V. 4 1991 Erratum to: “Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces”. Zbl 1275.30033Abanin, Alexander V.; Tien, Pham Trong 3 2013 Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains. Zbl 1239.47024Abanin, A. V.; Ishimura, R.; Le Hai Khoi 3 2012 Cauchy-Fantappiè transformation and mutual dualities between \(A^{- \infty}(\varOmega)\) and \(A^\infty(\tilde {\varOmega})\) for lineally convex domains. Zbl 1257.32004Abanin, A. V.; Khoi, Le Hai 3 2011 Exponential-polynomial bases for null spaces of convolution operators in \(A^{-\infty}\). Zbl 1251.30059Abanin, A. V.; Ishimura, R.; Khoi, Le Hai 3 2011 The spaces of \(\Omega\)-ultradifferentiable functions and \(\Omega\)-ultradistributions. Zbl 1272.46034Abanin, A. V. 3 2005 Extension and stability of weakly sufficient sets. Zbl 0623.32004Abanin, A. V. 3 1987 Cauchy transformation and mutual dualities between \(A^{-\infty}(\Omega)\) and \(A^\infty(\complement\Omega)\) for Carathéodory domains. Zbl 1357.46021Abanin, A. V.; Khoi, Le Hai 2 2016 The algebraic equalities and their topological consequences in weighted spaces. Zbl 1319.46021Abanin, Alexander V.; Tien, Pham Trong 2 2015 Mutual dualities between \(A^{-\infty}(\Omega)\) and \(A^{\infty}(\widetilde{\Omega})\) for lineally convex domains. Zbl 1287.46034Abanin, A. V.; Khoi, L. H. 2 2013 Effective and sampling sets for Hörmander spaces. Zbl 1409.32003Abanin, Alexander V. 1 2018 Invariant subspaces for classical operators on weighted spaces of holomorphic functions. Zbl 06819721Abanin, Alexander V.; Tien, Pham Trong 1 2017 Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth. Zbl 1319.30047Abanin, A. V.; Khoi, Le Hai 1 2015 On an application of weakly sufficient sets. Zbl 1299.47055Abanin, A. V. 1 2005 On Whitney’s extension theorem for spaces of ultradifferentiable functions. Zbl 0989.46019Abanin, A. V. 1 2001 Spaces of ultradifferentiable functions and a generalization of the Paley-Wiener-Schwartz theorem. Zbl 0920.46032Abanin, A. V.; Tishchenko, E. S. 1 1997 Modification of L. Hörmander’s method in problems on generators and its applications. Zbl 0858.46004Abanin, A. V. 1 1995 Absolutely representative exponent systems of minimal type in function spaces with given growth near the boundary. Zbl 0842.30003Abanin, A. V.; Nalbandyan, Yu. S. 1 1993 Geometric criteria for representation of analytic functions by series of generalized exponentials. Zbl 0791.30002Abanin, A. V. 1 1992 Distribution of the exponents of representing systems of generalized exponential functions. Zbl 0726.30006Abanin, A. V. 1 1991 On the distribution of effective sets and inside-continuability of representing Mittag-Leffler systems. Zbl 0525.30004Abanin, A. V. 1 1983 Compactness of classical operators on weighted Banach spaces of holomorphic functions. Zbl 06841305Abanin, Alexander V.; Tien, Pham Trong 6 2018 Effective and sampling sets for Hörmander spaces. Zbl 1409.32003Abanin, Alexander V. 1 2018 Differentiation and integration operators on weighted Banach spaces of holomorphic functions. Zbl 1420.47010Abanin, Alexander V.; Pham Trong Tien 9 2017 Invariant subspaces for classical operators on weighted spaces of holomorphic functions. Zbl 06819721Abanin, Alexander V.; Tien, Pham Trong 1 2017 Cauchy transformation and mutual dualities between \(A^{-\infty}(\Omega)\) and \(A^\infty(\complement\Omega)\) for Carathéodory domains. Zbl 1357.46021Abanin, A. V.; Khoi, Le Hai 2 2016 The algebraic equalities and their topological consequences in weighted spaces. Zbl 1319.46021Abanin, Alexander V.; Tien, Pham Trong 2 2015 Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth. Zbl 1319.30047Abanin, A. V.; Khoi, Le Hai 1 2015 Erratum to: “Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces”. Zbl 1275.30033Abanin, Alexander V.; Tien, Pham Trong 3 2013 Mutual dualities between \(A^{-\infty}(\Omega)\) and \(A^{\infty}(\widetilde{\Omega})\) for lineally convex domains. Zbl 1287.46034Abanin, A. V.; Khoi, L. H. 2 2013 Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces. Zbl 1275.30032Abanin, Alexander V.; Tien, Pham Trong 7 2012 Convolution operators in \(A^{-\infty}\) for convex domains. Zbl 1254.32009Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai 5 2012 Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains. Zbl 1239.47024Abanin, A. V.; Ishimura, R.; Le Hai Khoi 3 2012 Pre-dual of the function algebra \(A^{-\infty}(D)\) and representation of functions in Dirichlet series. Zbl 1275.32008Abanin, A. V.; Khoi, Le Hai 7 2011 Minimal absolutely representing systems of exponentials for \(A^{-\infty}(\varOmega)\). Zbl 1276.30008Abanin, A. V.; Khoi, Le Hai; Nalbandyan, Yu. S. 4 2011 Cauchy-Fantappiè transformation and mutual dualities between \(A^{- \infty}(\varOmega)\) and \(A^\infty(\tilde {\varOmega})\) for lineally convex domains. Zbl 1257.32004Abanin, A. V.; Khoi, Le Hai 3 2011 Exponential-polynomial bases for null spaces of convolution operators in \(A^{-\infty}\). Zbl 1251.30059Abanin, A. V.; Ishimura, R.; Khoi, Le Hai 3 2011 Dual of the function algebra \(A^{-\infty }(D)\) and representation of functions in Dirichlet series. Zbl 1205.32004Abanin, A. V.; Khoi, Le Hai 10 2010 Continuation of holomorphic functions with growth conditions and some of its applications. Zbl 1209.32002Abanin, Alexander V.; Tien, Pham Trong 7 2010 Surjectivity criteria for convolution operators in \(A^{-\infty}\). Zbl 1190.32001Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai 6 2010 Division theorem in some weighted spaces of entire functions. Zbl 1221.30070Abanin, A. V.; Abanina, D. A. 4 2010 Almost subadditive weight functions form Braun-Meise-Taylor theory of ultradistributions. Zbl 1194.46058Abanin, Alexander V.; Pham, Trong Tien 4 2010 On the duality between \(A^{-\infty }(D)\) and \(A^{-\infty }_D\) for convex domains. Zbl 1177.46016Abanin, Alexander V.; Khoi, Le Hai 6 2009 Analytic implementation of the duals of some spaces of infinitely differentiable functions. Zbl 1115.46018Abanin, A. V.; Filip’ev, I. A. 7 2006 The spaces of \(\Omega\)-ultradifferentiable functions and \(\Omega\)-ultradistributions. Zbl 1272.46034Abanin, A. V. 3 2005 On an application of weakly sufficient sets. Zbl 1299.47055Abanin, A. V. 1 2005 On Whitney’s extension theorem for spaces of ultradifferentiable functions. Zbl 0989.46019Abanin, A. V. 1 2001 Spaces of ultradifferentiable functions and a generalization of the Paley-Wiener-Schwartz theorem. Zbl 0920.46032Abanin, A. V.; Tishchenko, E. S. 1 1997 Nontrivial expansions of zero absolutely representing systems. Zbl 0890.46002Abanin, A. V. 8 1995 Modification of L. Hörmander’s method in problems on generators and its applications. Zbl 0858.46004Abanin, A. V. 1 1995 Dense spaces and analytical multiplicators. Zbl 1075.32501Abanin, A. V. 4 1994 Absolutely representative exponent systems of minimal type in function spaces with given growth near the boundary. Zbl 0842.30003Abanin, A. V.; Nalbandyan, Yu. S. 1 1993 Geometric criteria for representation of analytic functions by series of generalized exponentials. Zbl 0791.30002Abanin, A. V. 1 1992 Characterization of minimal systems of power’s indices for representative systems of generalized exponents. Zbl 0736.30003Abanin, A. V. 4 1991 Distribution of the exponents of representing systems of generalized exponential functions. Zbl 0726.30006Abanin, A. V. 1 1991 Extension and stability of weakly sufficient sets. Zbl 0623.32004Abanin, A. V. 3 1987 Certain criteria for weak sufficiency. Zbl 0625.46030Abanin, A. V. 6 1986 On some weak sufficiency tests. Zbl 0617.46032Abanin, A. V. 5 1986 On the distribution of effective sets and inside-continuability of representing Mittag-Leffler systems. Zbl 0525.30004Abanin, A. V. 1 1983 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year