Decay of ( p , q )-Fourier coefficients-Reference-Cited by-同舟云学术

Decay of ( p , q )-Fourier coefficients

Published:2014-10-08 Issue:2170 Volume:470 Page:20140221
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Edmunds David E.¹,Gurka Petr²,Lang Jan³

Affiliation:

1. Department of Mathematics, University of Sussex, Pevensey 2 Building, Falmer Campus, Brighton BN1 9QH, UK

2. Department of Mathematics, Czech University of Life Sciences Prague, 165 21 Prague 6, Czech Republic

3. Department of Mathematics, Ohio State University, 100 Math Tower, 231 West 18th Avenue, Columbus, OH 43210-1174, USA

Abstract

We show that essentially the speed of decay of the Fourier sine coefficients of a function in a Lebesgue space is comparable to that of the corresponding coefficients with respect to the basis formed by the generalized sine functions sin p , q .

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2014.0221

Reference12 articles.

1. Remarks on generalized trigonometric functions

2. Eigenvalues, Embeddings and Generalised Trigonometric Functions

3. Boulton L& Lord GJ. 2014 On the invertibility of the equivalence map associated to the p q -sine functions. (http://arxiv.org/abs/1405.7337).

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