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L p Spaces and Interpolation Read chapter Read first chapter

2014 | OriginalPaper | Chapter

4. Topics on Fourier Series

Author : Loukas Grafakos

Published in: Classical Fourier Analysis

Publisher: Springer New York

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Abstract

In this chapter we go deeper into the theory of Fourier series and we study topics such as convergence in norm and the conjugate function, divergence of Fourier series and Bochner–Riesz summability. We also study transference of multipliers on the torus and of maximal multipliers. This is a powerful technique that allows one to infer results concerning Fourier series from corresponding results about Fourier integrals and vice versa.

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previous chapter Fourier Series
next chapter Singular Integrals of Convolution Type
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Metadata
Title
Topics on Fourier Series
Author
Loukas Grafakos
Copyright Year
2014
Publisher
Springer New York
Book
Classical Fourier Analysis

Print ISBN: 978-1-4939-1193-6

Electronic ISBN: 978-1-4939-1194-3

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-1-4939-1194-3_4

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