Convergence and Summability of Fourier Transforms and Hardy Spaces (Paperback, Softcover reprint of the original 1st ed. 2017)

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 Fejer, 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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Applied and Numerical Harmonic Analysis
Release date:	June 2019
First published:	2017
Authors:	Ferenc Weisz
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	435
Edition:	Softcover reprint of the original 1st ed. 2017
ISBN-13:	978-3-319-86008-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN:	3-319-86008-9
Barcode:	9783319860084

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