Bochner-riesz Means On Euclidean Spaces Hardback
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.
- Format: Hardback
- Pages: 388 pages
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication Date: 29/10/2013
- Category: Euclidean geometry
- ISBN: 9789814458764