Summability of Multi-Dimensional Fourier Series and Hardy Spaces
Author:   Ferenc Weisz
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2002
Volume:   541
ISBN:  

9789048159925


Pages:   332
Publication Date:   07 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
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Summability of Multi-Dimensional Fourier Series and Hardy Spaces


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Overview

This is the first monograph which considers the theory of more-parameter dyadic and classical Hardy spaces. In this book a new application of martingale and distribution theories is dealt with. The theories of the multi-parameter dyadic martingale and the classical Hardy spaces are applied in Fourier analysis. Several summability methods of d-dimensional trigonometric-, Walsh-, spline-, and Ciesielski-Fourier series and Fourier transforms as well as the d-dimensional dyadic derivative are investigated. The boundedness of the maximal operators of the summations on Hardy spaces, weak (L1, L1) inequalities and a.e. convergence results for the d-dimensional Fourier series are proved. Audience: This book will be useful for researchers as well as for graduate or postgraduate students whose work involves Fourier analysis, approximations and expansions, sequences, series, summability, probability theory, stochastic processes, several complex variables, and analytic spaces.

Full Product Details

Author:   Ferenc Weisz
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2002
Volume:   541
Dimensions:   Width: 16.00cm , Height: 1.80cm , Length: 24.00cm
Weight:   0.539kg
ISBN:  

9789048159925


ISBN 10:   904815992
Pages:   332
Publication Date:   07 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1. Multi-Dimensional Dyadic Hardy Spaces.- 2. Multi-Dimensional Classical Hardy Spaces.- 3. Summability of D-Dimensional Walsh-Fourier Series.- 4. The D-Dimensional Dyadic Derivative.- 5. Summability of D-Dimensional Trigonometric-Fourier Series.- 6. Summability of D-Dimensional Fourier Transforms.- 7. spline and Ciesielski Systems.- References.

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