Asymptotic Taylor expansion for Fourier hyperfunctions

descriptionPublicationkeyboard_double_arrow_right Article 08 May 1997 English Publisher:The Royal SocietyJournal:Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, volume 453, pages 913-918 (issn: 1364-5021, eissn: 1471-2946,

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Authors: Stanković, B.;

doi: 10.1098/rspa.1997.0050

Asymptotic Taylor expansion for Fourier hyperfunctions

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Abstract

Summary: A necessary and sufficient condition is proved that the asymptotic Taylor expansion for a Fourier hyperfunction converges in the space of Fourier hyperfunctions.

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University of Novi Sad
Serbia

Keywords

space of Fourier hyperfunctions, Topological linear spaces of test functions, distributions and ultradistributions, Hyperfunctions, analytic functionals, asymptotic Taylor expansion, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series)

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