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The Schauder basis in the solution space of a homogeneous convolution equation

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Publication:1907382
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DOI10.1007/BF02309393zbMath0906.46007MaRDI QIDQ1907382

A. S. Krivosheev

Publication date: 21 February 1996

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

Laplace transformSchauder basisconvolution equationssolution spaceconvex domainanalytic functionalspace of analytic functionshomogeneous convolutionuniform topology on compact sets


Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Topological linear spaces of continuous, differentiable or analytic functions (46E10)


Related Items (max. 100)

Isomorphism between the solution spaces of a discrete convolution equation and a convolution equation on the space of entire functions ⋮ General solution of the homogeneous convolution equation in spaces of ultradifferentiable functions



Cites Work

  • Sequence space representations for (DFN)-algebras of entire functions modulo closed ideals.
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