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Convergence and summability of Fourier transforms and Hardy spaces

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Convergence and summability of Fourier transforms and Hardy spaces/ by Ferenc Weisz.
作者:	Weisz, Ferenc.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xxii, 435 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Hardy spaces. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-56814-0
ISBN:	9783319568140

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

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

792268
Hardy spaces.

LC Class. No.: QA331

Dewey Class. No.: 515.8

Convergence and summability of Fourier transforms and Hardy spaces
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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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