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-Sjoelin 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.
By:
Dunyan Yan (Univ Of Chinese Academy Of Sci China), Shanzhen Lu (Beijing Normal Univ, China) Imprint: World Scientific Publishing Co Pte Ltd Country of Publication: Singapore Dimensions:
Height: 249mm,
Width: 168mm,
Spine: 28mm
Weight: 816g ISBN:9789814458764 ISBN 10: 9814458767 Pages: 388 Publication Date:29 August 2013 Audience:
College/higher education
,
Further / Higher Education
Format:Hardback Publisher's Status: Active