Bochnera€"riesz Means On Euclidean Spaces, EPUB eBook

Bochnera€"riesz Means On Euclidean Spaces EPUB

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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-Sjolin 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.

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  • Format:EPUB
  • Pages:388 pages
  • Publisher:World Scientific Publishing Company
  • Publication Date:
  • Category:
  • ISBN:9789814458788
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Information

  • Format:EPUB
  • Pages:388 pages
  • Publisher:World Scientific Publishing Company
  • Publication Date:
  • Category:
  • ISBN:9789814458788