Convergence and Summability of Fourier Transforms and Hardy Spaces (Applied and Numerical Harmonic Analysis) - Image 1

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Birkhauser Convergence and Summability of Fourier Transforms and Hardy Spaces (Applied and Numerical Harmonic Analysis)

Name: Convergence and Summability of Fourier Transforms and Hardy Spaces (Applied and Numerical Harmonic Analysis)
Brand: Birkhauser
Price: 87.95 GBP
Availability: InStock

Functional Analysis

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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. From the Back Cover 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. About the Author Ferenc Weisz is Professor at the Department of Numerical Analysis of the Eötvös Loránd University in Budapest, Hungary.

Product Specifications

Brand: Birkhauser
Format: Paperback
ASIN: 3319860089
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 06 June 2019
Listed Since: 24 December 2018

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Birkhauser Convergence and Summability of Fourier Transforms and Hardy Spaces (Applied and Numerical Harmonic Analysis)

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