Approximation Theory and Harmonic Analysis on Spheres and Balls

Name: Approximation Theory and Harmonic Analysis on Spheres and Balls
SKU: 23413633
Price: 345.99 AUD
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Paperback / softback

Series:

Springer Monographs in Mathematics

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Description

This monograph records progress in approximation theory and harmonic analysis on balls and spheres, and presents contemporary material that will be useful to analysts in this area. While the first part of the book contains mainstream material on the subject, the second and the third parts deal with more specialized topics, such as analysis in weight spaces with reflection invariant weight functions, and analysis on balls and simplexes. The last part of the book features several applications, including cubature formulas, distribution of points on the sphere, and the reconstruction algorithm in computerized tomography. This book is directed at researchers and advanced graduate students in analysis. Mathematicians who are familiar with Fourier analysis and harmonic analysis will understand many of the concepts that appear in this manuscript: spherical harmonics, the Hardy-Littlewood maximal function, the Marcinkiewicz multiplier theorem, the Riesz transform, and doubling weights are all familiar tools to researchers in this area.

Author Biography:

Feng Dai is currently a professor of mathematics at the University of Alberta, and Yuan Xu is currently a professor of mathematics at the University of Oregon.

Release date Australia

May 22nd, 2015

Author

Audience

Professional & Vocational

Illustrations

XVIII, 440 p.

Pages

440

Series

Springer Monographs in Mathematics

Dimensions

155x235x24

ISBN-13

9781493901319

Product ID

23413633

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