L1 convergence of Fourier transforms

E. Liflyand

doi:10.1007/978-3-031-25424-6_11

L¹ convergence of Fourier transforms

E. Liflyand

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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
Title of host publication	Harmonic Analysis and Partial Differential Equations
Subtitle of host publication	In Honor of Vladimir Maz'ya
Publisher	Springer Nature
Pages	239-249
Number of pages	11
ISBN (Electronic)	9783031254246
ISBN (Print)	9783031254239
DOIs	https://doi.org/10.1007/978-3-031-25424-6_11
State	Published - 1 Jan 2023

Bibliographical note

Publisher Copyright:
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.

Keywords

Bounded variation · Integrability
Fourier transform
L convergence
Trigonometric series

Access to Document

10.1007/978-3-031-25424-6_11

Cite this

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