Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth
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Publication:2516399
DOI10.3103/S1066369X15010016zbMath1319.30047MaRDI QIDQ2516399
Le Hai Khoi, Alexander V. Abanin
Publication date: 3 August 2015
Published in: Russian Mathematics (Search for Journal in Brave)
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- Pre-dual of the function algebra \(A^{-\infty}(D)\) and representation of functions in Dirichlet series
- Cauchy-Fantappiè transformation and mutual dualities between \(A^{- \infty}(\varOmega)\) and \(A^\infty(\tilde {\varOmega})\) for lineally convex domains
- Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains
- Convolution operators in \(A^{-\infty}\) for convex domains
- Minimal absolutely representing systems of exponentials for \(A^{-\infty}(\varOmega)\)
- Regularity of the Bergman projection and duality of holomorphic function spaces
- Surjectivity criteria for convolution operators in \(A^{-\infty}\)
- Characterization of convolution operators on spaces of \(C^{\infty}\)- functions admitting a continuous linear right inverse
- A representation theorem in strictly pseudoconvex domains
- Convex univalent functions and continuous linear right inverses
- Weakly sufficient sets for \(A^{-\infty}(\mathbb D)\)
- Sampling sequences for \(A^{-\infty}\)
- On the linear inverse from right operator for the convolution operator on the spaces of germs of analytical functions on convex compacts in \(\mathbb{C}\)
- Sampling sets and sufficient sets for \(A^{-\infty}\)
- On the duality between \(A^{-\infty }(D)\) and \(A^{-\infty }_D\) for convex domains
- Mutual dualities betweenA−∞(Ω) and for lineally convex domains
- Dual of the function algebra 𝐴^{-∞}(𝐷) and representation of functions in Dirichlet series
- Interpolation in A −∞
- COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES
- Complemented Submodules in Weighted Spaces of Analytic Functions
- SUR LA CONDITON (S) DE KAWAI ET LA PROPRIÉTÉ DE CROISSANCE RÉGULIÈRE D'UNE FONCTION SOUS-HARMONIQUE ET D'UNE FONCTION ENTIÈRE
- Continuous linear right inverses for convolution operators in spaces of real analytic functions
- Surjectivity of convolution operators on spaces of ultradifferentiable functions of Roumieu type
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