Summability of Multi-Dimensional Fourier Series and Hardy Spaces

By:

Ferenc Weisz

Format:

Paperback / softback

Series:

Mathematics and its Applications

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Description

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.

Release date Australia

December 7th, 2010

Author

Ferenc Weisz

Audience

Professional & Vocational

Edition

Softcover reprint of hardcover 1st ed. 2002

Illustrations

XV, 332 p.

Pages

332

Series

Mathematics and its Applications

Dimensions

156x234x18

ISBN-13

9789048159925

Product ID

8941541

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