Wird geladen...
Bochner-Riesz means on Euclidean spaces /
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...
| Hauptverfasser: | , |
|---|---|
| Format: | Printed Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore:
World Scientific,
2013.
|
| Schlagworte: |
| Zusammenfassung: | 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 -- |
|---|---|
| Beschreibung: | viii, 376 pages : illustrations ; 26 cm |
| Bibliographie: | Includes bibliographical references (pages 367-374) and index. |
| ISBN: | 9789814458764 9814458767 |