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eBook
Convergence and Summability of Fourier Transforms and Hardy Spaces
Springer International Publishing
ISBN 978-3-319-56814-0
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Bibliografische Daten
eBook. PDF. Weiches DRM (Wasserzeichen)
2017
XXII, 435 p. 34 illus..
In englischer Sprache
Umfang: 435 S.
Verlag: Springer International Publishing
ISBN: 978-3-319-56814-0
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Applied and Numerical Harmonic Analysis
Produktbeschreibung
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.
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