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Analysis

International mathematical journal of analysis and its applications


CiteScore 2018: 0.72

SCImago Journal Rank (SJR) 2018: 0.363
Source Normalized Impact per Paper (SNIP) 2018: 0.530

Mathematical Citation Quotient (MCQ) 2018: 0.36

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ISSN
2196-6753
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Volume 35, Issue 1

Issues

Convergence of the inverse continuous wavelet transform in Wiener amalgam spaces

Ferenc Weisz
Published Online: 2015-02-03 | DOI: https://doi.org/10.1515/anly-2014-1267

Abstract

The inversion formula for the continuous wavelet transform is usually considered in the weak sense. With the help of summability methods of Fourier transforms we obtain norm convergence and convergence at Lebesgue points of the inverse wavelet transform for functions from the Lp and Wiener amalgam spaces.

Keywords: Continuous wavelet transform; Wiener amalgam spaces; θ-summability; inversion formula; Hardy spaces

MSC: 42C40; 42C15; 42B08; 42A38; 46B15

About the article

Received: 2014-06-06

Accepted: 2015-01-21

Published Online: 2015-02-03

Published in Print: 2015-03-01


Citation Information: Analysis, Volume 35, Issue 1, Pages 33–46, ISSN (Online) 2196-6753, ISSN (Print) 0174-4747, DOI: https://doi.org/10.1515/anly-2014-1267.

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