Representation of solutions of convolution equations in nonquasianalytic Beurling classes of ultradifferentiable functions of mean type

DOI10.3103/S1066369X11060016zbMath1257.30064MaRDI QIDQ1759166

D. A. Abanina

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

ultradifferentiable functionsconvolution equationexponential series

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (4)

On solutions of convolution equations in spaces of ultradifferentiable functions ⋮ General solution of the homogeneous convolution equation in spaces of ultradifferentiable functions ⋮ On a Particular Solution of a Nonhomogeneous Convolution Equation in Spaces of Ultradifferentiable Functions ⋮ On the Continuous Linear Right Inverse for a Convolution Operator

Cites Work

• Almost subadditive weight functions form Braun-Meise-Taylor theory of ultradistributions
• On Borel's theorem for spaces of ultradifferentiable functions of mean type
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