Overview
- 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)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (6 chapters)
-
One-Dimensional Hardy Spaces and Fourier Transforms
-
Multi-Dimensional Hardy Spaces and Fourier Transforms
Keywords
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
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