Bochner - Riesz Means on Euclidean Spaces - Shanzhen Lu; Dunyan Yan

Bochner - Riesz Means on Euclidean Spaces
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Autor: Shanzhen Lu; Dunyan Yan

 Wydawnictwo: World Scientific Publishing Co Ltd
ISBN: 9789814458764
EAN:
Format: ...
Oprawa: twarda
Stron: 350
Data wydania: 2013-10-01
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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.

Książka "Bochner - Riesz Means on Euclidean Spaces"
Shanzhen Lu; Dunyan Yan