Authors:
- Explores comprehensively the summability of Fourier transforms as well as the theory of Hardy spaces
- Gathers classical results as well as recent results from the past 20-30 years
- Considers strong summability introduced by current methodology
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
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Table of contents (6 chapters)
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Front Matter
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One-Dimensional Hardy Spaces and Fourier Transforms
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Front Matter
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Multi-Dimensional Hardy Spaces and Fourier Transforms
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Front Matter
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Back Matter
About this book
Following on the classic books by Bary (1964) and Zygmund (1968), this is the first book that considers strong summability introduced by current methodology. A further unique aspect is that the Lebesgue points are also studied in the theory of multi-dimensional summability. In addition to classical results, results from the past 20-30 years – normally only found in scattered research papers – are also gathered and discussed, offering readers a convenient “one-stop” source to support their work. As such, the book will be useful for researchers, graduate and postgraduate students alike.
Authors and Affiliations
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Department of Numerical Analysis, Eötvös Loránd University, Budapest, Hungary
Ferenc Weisz
About the author
Bibliographic Information
Book Title: Convergence and Summability of Fourier Transforms and Hardy Spaces
Authors: Ferenc Weisz
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-3-319-56814-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-56813-3Published: 18 January 2018
Softcover ISBN: 978-3-319-86008-4Published: 06 June 2019
eBook ISBN: 978-3-319-56814-0Published: 27 December 2017
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XXII, 435
Number of Illustrations: 34 b/w illustrations
Topics: Sequences, Series, Summability, Fourier Analysis, Abstract Harmonic Analysis