L1 convergence of Fourier transforms

E. Liflyand

doi:10.1007/s13324-021-00530-3

L¹ convergence of Fourier transforms

E. Liflyand

Department of Mathematics

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

2 Scopus citations

Abstract

This is the first attempt to generalize the problem of L¹ convergence of trigonometric series to the non-periodic case. We extend one of the most general results and then show the way how to derive its prototype from the obtained extension.

Original language	English
Article number	91
Journal	Analysis and Mathematical Physics
Volume	11
Issue number	2
DOIs	https://doi.org/10.1007/s13324-021-00530-3
State	Published - Jun 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

Bounded variation
Fourier transform
Integrability
L convergence
Trigonometric series

Access to Document

10.1007/s13324-021-00530-3

Cite this

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KW - L convergence

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