Read e-book online Bochner–Riesz Means on Euclidean Spaces PDF

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By Shanzhen Lu,Dunyan Yan

ISBN-10: 9814458767

ISBN-13: 9789814458764

This e-book commonly bargains with the Bochner–Riesz technique of a number of Fourier indispensable and sequence on Euclidean areas. It goals to offer a systematical advent to the basic theories of the Bochner–Riesz potential and significant 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 recognized Carleson-Sjölin theorem, and Carbery-Rubio de Francia-Vega's paintings on nearly in every single place convergence of the Bochner–Riesz ability under the severe index. For the Bochner–Riesz technique of a number of Fourier sequence, it comprises the idea and alertness of a category of functionality house generated via blocks, that is heavily with regards to nearly all over the place convergence of the Bochner–Riesz capacity. additionally, the booklet additionally introduce a little research effects on approximation of capabilities by way of the Bochner–Riesz means.

Contents:

  • An advent 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 essential and Series

Readership: Graduate scholars and researchers in mathematics.

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


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