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.
ISBN: | 9789814458764 |
Publication date: | 1st November 2013 |
Author: | Dunyan (Univ Of Chinese Academy Of Sci, China) Yan, Shanzhen (Beijing Normal Univ, China) Lu |
Publisher: | World Scientific Publishing Co Pte Ltd |
Format: | Hardback |
Pagination: | 388 pages |
Genres: |
Euclidean geometry |