eBook Bochner–Riesz Means On Euclidean Spaces, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 9814458775
  • ISBN-13: 9789814458771
  • DDC: 515.2433
  • Grade Level Range: College Freshman - College Senior
  • 388 Pages | eBook
  • Original Copyright 2013 | Published/Released December 2014
  • This publication's content originally published in print form: 2013
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About

Overview

This book mainly deals with the Bochner-Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner-Riesz means and important achievements attained in the last 50 years. For the Bochner-Riesz means of multiple Fourier integral, it includes the Fefferman theorem which negates the Disc multiplier conjecture, the famous Carleson-Slin theorem, and Carbery-Rubio de Francia-Vegas work on almost everywhere convergence of the Bochner-Riesz means below the critical index. For the Bochner-Riesz means of multiple Fourier series, it includes the theory and application of a class of function space generated by blocks, which is closely related to almost everywhere convergence of the Bochner-Riesz means. In addition, the book also introduce some research results on approximation of functions by the Bochner-Riesz means.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Contents.
Preface.
1: An Introduction to Multiple Fourier Series.
2: Bochner-Riesz Means of Multiple Fourier Integral.
3: Bochner-Riesz Means of Multiple Fourier Series.
4: The Conjugate Fourier Integral and Series.
Bibliography.
Index.