Surjectivity criteria for convolution operators in \(A^{-\infty}\)

DOI10.1016/J.CRMA.2010.01.015zbMath1190.32001OpenAlexW2038791396MaRDI QIDQ960986

Ryuichi Ishimura, Alexander V. Abanin, Le Hai Khoi

Publication date: 29 March 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.01.015

zbMATH Keywords

convolution operatorentire functions of exponential typeanalytic functionalFourier-Borel transformationholomorphic functions of several complex variables

Mathematics Subject Classification ID

Linear composition operators (47B33) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Entire functions of several complex variables (32A15) Holomorphic functions of several complex variables (32A10)

Related Items (6)

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 \(A^{-\infty}(\varOmega)\) ⋮ Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth ⋮ On the surjectivity of the convolution operator in spaces of holomorphic functions of a prescribed growth ⋮ Convolution operators on spaces of real analytic functions

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• The existence and the continuation of holomorphic solutions for convolution equations in tube domains
• Équations différentielles d'ordre infini

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