Bochnerriesz Means On Euclidean Spaces
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Author
Publication
2013 - World Scientific Publishing Co Pte Ltd
Word Count
94,000 words, Guess
Page Count
376 pages
Identifiers
- Open LibraryOL26190920M
- ISBN-139789814458764
- OCLC Control Number861528243
- OCLC Control Number826997409
- Library of Congress Control Number2012276145
Classifications
- LCCQA404
Description
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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