Summability of Multi-Dimensional Fourier Series and Hardy Spaces
Author:   Ferenc Weisz
Publisher:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   541
ISBN:  

9781402005640


Pages:   332
Publication Date:   31 March 2002
Format:   Hardback
Availability:   In Print   Availability explained
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Summability of Multi-Dimensional Fourier Series and Hardy Spaces


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Overview

This monograph considers the theory of more-parameter dyadic and classical hardy spaces. It is 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-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.

Full Product Details

Author:   Ferenc Weisz
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   541
Dimensions:   Width: 15.60cm , Height: 2.00cm , Length: 23.40cm
Weight:   1.490kg
ISBN:  

9781402005640


ISBN 10:   1402005644
Pages:   332
Publication Date:   31 March 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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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