Convergence and Summability of Fourier Transforms and Hardy Spaces



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Éditeur :

Birkhäuser


Collection :

Applied and Numerical Harmonic Analysis

Paru le : 2017-12-27



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Description


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.
Pages
435 pages
Collection
Applied and Numerical Harmonic Analysis
Parution
2017-12-27
Marque
Birkhäuser
EAN papier
9783319568133
EAN PDF
9783319568140

Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
43
Taille du fichier
7250 Ko
Prix
116,04 €