Fourier transforms on an amalgam type space

E. Liflyand

doi:10.1007/s00605-013-0562-6

Fourier transforms on an amalgam type space

E. Liflyand

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We introduce an amalgam type space, a subspace of L¹(R₊). Integrability results for the Fourier transform of a function with the derivative from such an amalgam space are proved. As an application, we obtain conditions for the integrability of trigonometric series.

Original language	English
Pages (from-to)	345-355
Number of pages	11
Journal	Monatshefte fur Mathematik
Volume	172
Issue number	3-4
DOIs	https://doi.org/10.1007/s00605-013-0562-6
State	Published - Dec 2013

Keywords

Amalgam space
Bounded variation
Fourier transform
Integrability

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10.1007/s00605-013-0562-6

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KW - Bounded variation

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KW - Integrability

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Fourier transforms on an amalgam type space

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Keywords

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