BOCHNER-RIESZ MEANS ON EUCLIDEAN SPACES

Name: BOCHNER-RIESZ MEANS ON EUCLIDEAN SPACES
Brand: World Scientific Publishing
SKU: 9789814458788--EAU
Price: 77.00 NZ$
Availability: InStock

Dunyan Yan; Shanzhen Lu · ISBN 9789814458788

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Publisher	World Scientific Publishing
Author(s)	Dunyan Yan; Shanzhen Lu
Published	2013-08-28
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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-Sjölin 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.

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