Bochner-riesz Means On Euclidean Spaces
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A01=Dunyan Yan
A01=Shanzhen Lu
Approximation
Author_Dunyan Yan
Author_Shanzhen Lu
Bochner-Riesz Means
BochnerAcAEURA"Riesz Means
Bochner–Riesz Means
Category=PBMH
Convergence
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Multiple Fourier Integral
Multiple Fourier Series
Product details
- ISBN 9789814458764
- Publication Date: 01 Nov 2013
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
