Bochner–Riesz Means on Euclidean Spaces by Shanzhen Lu,Dunyan Yan PDF

By Shanzhen Lu,Dunyan Yan

ISBN-10: 9814458767

ISBN-13: 9789814458764

This booklet quite often offers with the Bochner–Riesz technique of a number of Fourier crucial and sequence on Euclidean areas. It goals to provide a systematical advent to the elemental theories of the Bochner–Riesz ability and critical achievements attained within the final 50 years. For the Bochner–Riesz technique of a number of Fourier vital, it comprises the Fefferman theorem which negates the Disc multiplier conjecture, the well-known Carleson-Sjölin theorem, and Carbery-Rubio de Francia-Vega's paintings on virtually in all places convergence of the Bochner–Riesz capacity less than the severe index. For the Bochner–Riesz technique of a number of Fourier sequence, it comprises the speculation and alertness of a category of functionality house generated via blocks, that's heavily regarding nearly all over convergence of the Bochner–Riesz capability. additionally, the booklet additionally introduce a little research effects on approximation of capabilities by means of the Bochner–Riesz means.

Contents:

  • An creation to a number of Fourier Series
  • Bochner–Riesz technique of a number of Fourier Integral
  • Bochner–Riesz technique of a number of Fourier Series
  • The Conjugate Fourier critical and Series

Readership: Graduate scholars and researchers in mathematics.

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