bokomslag Bochner-riesz Means On Euclidean Spaces
Vetenskap & teknik

Bochner-riesz Means On Euclidean Spaces

Dunyan Yan Shanzhen Lu

Inbunden

2409:-

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  • 388 sidor
  • 2013
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-Sjlin 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.
  • Författare: Dunyan Yan, Shanzhen Lu
  • Format: Inbunden
  • ISBN: 9789814458764
  • Språk: Engelska
  • Antal sidor: 388
  • Utgivningsdatum: 2013-11-01
  • Förlag: World Scientific Publishing Co Pte Ltd