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Applied and Numerical Harmonic Analysis
cover

Convergence and Summability of Fourier Transforms and Hardy Spaces

Authors: Weisz, Ferenc

  • 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
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eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-319-56814-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-56813-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-86008-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces. To do so, it studies a general summability method known as theta-summation, which encompasses all the well-known summability methods, such as the Fejér, Riesz, Weierstrass, Abel, Picard, Bessel and Rogosinski summations. 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.

About the authors

Ferenc Weisz is Professor at the Department of Numerical Analysis of the Eötvös Loránd University in Budapest, Hungary.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • One-Dimensional Hardy Spaces

    Pages 3-70

    Weisz, Ferenc

  • One-Dimensional Fourier Transforms

    Pages 71-133

    Weisz, Ferenc

  • Multi-Dimensional Hardy Spaces

    Pages 137-202

    Weisz, Ferenc

  • Multi-Dimensional Fourier Transforms

    Pages 203-227

    Weisz, Ferenc

  • ℓ q -Summability of Multi-Dimensional Fourier Transforms

    Pages 229-382

    Weisz, Ferenc

Buy this book

eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-319-56814-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-56813-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-86008-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Convergence and Summability of Fourier Transforms and Hardy Spaces
Authors
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-56814-0
DOI
10.1007/978-3-319-56814-0
Hardcover ISBN
978-3-319-56813-3
Softcover ISBN
978-3-319-86008-4
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XXII, 435
Number of Illustrations
34 b/w illustrations
Topics