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Abanin, Aleksandr Vasil’evich

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Author ID: abanin.aleksandr-vasilevich Recent zbMATH articles by "Abanin, Aleksandr Vasil'evich"
Published as: Abanin, A. V.; Abanin, Aleksandr Vasil’evich; Abanin, Alexander V.
Documents Indexed: 83 Publications since 1979
Biographic References: 2 Publications

Publications by Year

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
10
2010
Differentiation and integration operators on weighted Banach spaces of holomorphic functions. Zbl 1420.47010
Abanin, Alexander V.; Pham Trong Tien
9
2017
Nontrivial expansions of zero absolutely representing systems. Zbl 0890.46002
Abanin, A. V.
8
1995
Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces. Zbl 1275.30032
Abanin, Alexander V.; Tien, Pham Trong
7
2012
Pre-dual of the function algebra \(A^{-\infty}(D)\) and representation of functions in Dirichlet series. Zbl 1275.32008
Abanin, A. V.; Khoi, Le Hai
7
2011
Continuation of holomorphic functions with growth conditions and some of its applications. Zbl 1209.32002
Abanin, Alexander V.; Tien, Pham Trong
7
2010
Analytic implementation of the duals of some spaces of infinitely differentiable functions. Zbl 1115.46018
Abanin, A. V.; Filip’ev, I. A.
7
2006
Compactness of classical operators on weighted Banach spaces of holomorphic functions. Zbl 06841305
Abanin, Alexander V.; Tien, Pham Trong
6
2018
Surjectivity criteria for convolution operators in \(A^{-\infty}\). Zbl 1190.32001
Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai
6
2010
On the duality between \(A^{-\infty }(D)\) and \(A^{-\infty }_D\) for convex domains. Zbl 1177.46016
Abanin, Alexander V.; Khoi, Le Hai
6
2009
Certain criteria for weak sufficiency. Zbl 0625.46030
Abanin, A. V.
6
1986
Convolution operators in \(A^{-\infty}\) for convex domains. Zbl 1254.32009
Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai
5
2012
On some weak sufficiency tests. Zbl 0617.46032
Abanin, A. V.
5
1986
Minimal absolutely representing systems of exponentials for \(A^{-\infty}(\varOmega)\). Zbl 1276.30008
Abanin, A. V.; Khoi, Le Hai; Nalbandyan, Yu. S.
4
2011
Division theorem in some weighted spaces of entire functions. Zbl 1221.30070
Abanin, A. V.; Abanina, D. A.
4
2010
Almost subadditive weight functions form Braun-Meise-Taylor theory of ultradistributions. Zbl 1194.46058
Abanin, Alexander V.; Pham, Trong Tien
4
2010
Dense spaces and analytical multiplicators. Zbl 1075.32501
Abanin, A. V.
4
1994
Characterization of minimal systems of power’s indices for representative systems of generalized exponents. Zbl 0736.30003
Abanin, A. V.
4
1991
Erratum to: “Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces”. Zbl 1275.30033
Abanin, 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 1239.47024
Abanin, 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 1257.32004
Abanin, A. V.; Khoi, Le Hai
3
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
The spaces of \(\Omega\)-ultradifferentiable functions and \(\Omega\)-ultradistributions. Zbl 1272.46034
Abanin, A. V.
3
2005
Extension and stability of weakly sufficient sets. Zbl 0623.32004
Abanin, A. V.
3
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
2
2016
The algebraic equalities and their topological consequences in weighted spaces. Zbl 1319.46021
Abanin, Alexander V.; Tien, Pham Trong
2
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.
2
2013
Effective and sampling sets for Hörmander spaces. Zbl 1409.32003
Abanin, Alexander V.
1
2018
Invariant subspaces for classical operators on weighted spaces of holomorphic functions. Zbl 06819721
Abanin, Alexander V.; Tien, Pham Trong
1
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
1
2015
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.
1
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
Modification of L. Hörmander’s method in problems on generators and its applications. Zbl 0858.46004
Abanin, A. V.
1
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.
1
1993
Geometric criteria for representation of analytic functions by series of generalized exponentials. Zbl 0791.30002
Abanin, A. V.
1
1992
Distribution of the exponents of representing systems of generalized exponential functions. Zbl 0726.30006
Abanin, A. V.
1
1991
On the distribution of effective sets and inside-continuability of representing Mittag-Leffler systems. Zbl 0525.30004
Abanin, A. V.
1
1983
Compactness of classical operators on weighted Banach spaces of holomorphic functions. Zbl 06841305
Abanin, Alexander V.; Tien, Pham Trong
6
2018
Effective and sampling sets for Hörmander spaces. Zbl 1409.32003
Abanin, Alexander V.
1
2018
Differentiation and integration operators on weighted Banach spaces of holomorphic functions. Zbl 1420.47010
Abanin, Alexander V.; Pham Trong Tien
9
2017
Invariant subspaces for classical operators on weighted spaces of holomorphic functions. Zbl 06819721
Abanin, 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 1357.46021
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
Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth. Zbl 1319.30047
Abanin, A. V.; Khoi, Le Hai
1
2015
Erratum to: “Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces”. Zbl 1275.30033
Abanin, Alexander V.; Tien, Pham Trong
3
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.
2
2013
Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces. Zbl 1275.30032
Abanin, Alexander V.; Tien, Pham Trong
7
2012
Convolution operators in \(A^{-\infty}\) for convex domains. Zbl 1254.32009
Abanin, 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 1239.47024
Abanin, 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 1275.32008
Abanin, A. V.; Khoi, Le Hai
7
2011
Minimal absolutely representing systems of exponentials for \(A^{-\infty}(\varOmega)\). Zbl 1276.30008
Abanin, 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 1257.32004
Abanin, A. V.; Khoi, Le Hai
3
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
Dual of the function algebra \(A^{-\infty }(D)\) and representation of functions in Dirichlet series. Zbl 1205.32004
Abanin, A. V.; Khoi, Le Hai
10
2010
Continuation of holomorphic functions with growth conditions and some of its applications. Zbl 1209.32002
Abanin, Alexander V.; Tien, Pham Trong
7
2010
Surjectivity criteria for convolution operators in \(A^{-\infty}\). Zbl 1190.32001
Abanin, Alexander V.; Ishimura, Ryuichi; Khoi, Le Hai
6
2010
Division theorem in some weighted spaces of entire functions. Zbl 1221.30070
Abanin, A. V.; Abanina, D. A.
4
2010
Almost subadditive weight functions form Braun-Meise-Taylor theory of ultradistributions. Zbl 1194.46058
Abanin, Alexander V.; Pham, Trong Tien
4
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
Analytic implementation of the duals of some spaces of infinitely differentiable functions. Zbl 1115.46018
Abanin, A. V.; Filip’ev, I. A.
7
2006
The spaces of \(\Omega\)-ultradifferentiable functions and \(\Omega\)-ultradistributions. Zbl 1272.46034
Abanin, A. V.
3
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.
1
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.
8
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.
1
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.
1
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

Citations by Year