BochnerRiesz Means on Euclidean Spaces by Shanzhen Lu

BochnerRiesz Means on Euclidean Spaces

byShanzhen Lu, Dunyan Yan

Kobo ebook | August 28, 2013

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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-Sjölin theorem, and Carbery-Rubio de Francia-Vega's 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.

Contents:

  • An Introduction to Multiple Fourier Series
  • Bochner–Riesz Means of Multiple Fourier Integral
  • Bochner–Riesz Means of Multiple Fourier Series
  • The Conjugate Fourier Integral and Series

Readership: Graduate students and researchers in mathematics.

Title:BochnerRiesz Means on Euclidean SpacesFormat:Kobo ebookPublished:August 28, 2013Publisher:World Scientific Publishing CompanyLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9814458783

ISBN - 13:9789814458788

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