On a Particular Solution of a Nonhomogeneous Convolution Equation in Spaces of Ultradifferentiable Functions

DOI10.23671/VNC.2018.4.23389zbMath1463.44009MaRDI QIDQ4970073

D. A. Polyakova

Publication date: 14 October 2020

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj678

zbMATH Keywords

space of ultradifferentiable functionsnonhomogeneous convolution equation

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Cites Work

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• Representation of solutions of convolution equations in nonquasianalytic Beurling classes of ultradifferentiable functions of mean type
• Nontrivial expansions of zero absolutely representing systems
• On solutions of convolution equations in spaces of ultradifferentiable functions
• INDUCTIVE AND PROJECTIVE TOPOLOGIES. SUFFICIENT SETS AND REPRESENTING SYSTEMS
• COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES
• REPRESENTING SYSTEMS
• Sufficient Sets for Some Spaces of Entire Functions

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