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Convergence and summability of Fourier transforms and Hardy spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Convergence and summability of Fourier transforms and Hardy spacesby Ferenc Weisz.
Author:	Weisz, Ferenc.
Published:	Cham :Springer International Publishing :2017.
Description:	xxii, 435 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Hardy spaces.
Online resource:	http://dx.doi.org/10.1007/978-3-319-56814-0
ISBN:	9783319568140$q(electronic bk.)

Convergence and summability of Fourier transforms and Hardy spaces
Weisz, Ferenc.

Convergence and summability of Fourier transforms and Hardy spaces[electronic resource] /by Ferenc Weisz. - Cham :Springer International Publishing :2017. - xxii, 435 p. :ill., digital ;24 cm. - Applied and numerical harmonic analysis,2296-5009. - Applied and numerical harmonic analysis..

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.

ISBN: 9783319568140$q(electronic bk.)

Standard No.: 10.1007/978-3-319-56814-0doiSubjects--Topical Terms:

205857
Hardy spaces.

LC Class. No.: QA331

Dewey Class. No.: 515.8

Convergence and summability of Fourier transforms and Hardy spaces
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490 1 $a Applied and numerical harmonic analysis, $x 2296-5009
520 $a 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.
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