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