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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...
| Κύριοι συγγραφείς: | , |
|---|---|
| Μορφή: | Printed Book |
| Γλώσσα: | English |
| Έκδοση: |
Singapore:
World Scientific,
2013.
|
| Θέματα: |
| LEADER | 02387cam a22003497i 4500 | ||
|---|---|---|---|
| 008 | 140402t20132013njua b 001 0 eng d | ||
| 999 | |c 135967 |d 135967 | ||
| 010 | |a 2012276145 | ||
| 020 | |a 9789814458764 | ||
| 020 | |a 9814458767 | ||
| 035 | |a (OCoLC)ocn826997409 | ||
| 042 | |a lccopycat | ||
| 082 | 0 | 4 | |a 515.2433 |2 23 |
| 100 | 1 | |a Lu, Shanzhen, | |
| 245 | 1 | 0 | |a Bochner-Riesz means on Euclidean spaces / |c Shanzhen Lu, Dunyan Yan. |
| 260 | |a Singapore: |b World Scientific, |c 2013. | ||
| 300 | |a viii, 376 pages : |b illustrations ; |c 26 cm | ||
| 504 | |a Includes bibliographical references (pages 367-374) and index. | ||
| 505 | 0 | |a 1. An introduction to multiple Fourier series -- 2. Bochner-Riesz means of multiple Fourier integral -- 3. Bochner-Riesz means of multiple Fourier series -- 4. The conjugate Fourier integral and series. | |
| 520 | 3 | |a 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 -- | |
| 650 | 0 | |a Fourier series. | |
| 650 | 0 | |a Euclidean algorithm. | |
| 650 | 0 | |a Fourier series |x Mathematical models. | |
| 650 | 0 | |a Euclidean algorithm |x Mathematical models. | |
| 650 | 7 | |a Euclidean algorithm. |2 fast | |
| 650 | 7 | |a Fourier series. |2 fast | |
| 700 | 1 | |a Yan, Dunyan, |e author. | |
| 942 | |c BK | ||
| 906 | |a 7 |b cbc |c copycat |d 2 |e ncip |f 20 |g y-gencatlg | ||
| 955 | |b rl09 2014-05-19 z-processor |i rl09 2014-05-21 ; to CALM | ||
| 955 | |b xn03 2014-04-02 z-processor to USPL |a rl00 2014-04-04 to SMA | ||
| 952 | |0 0 |1 0 |4 0 |7 0 |9 150514 |a MAT |b MAT |c ST1 |d 2016-07-26 |g 4762.11 |i 6747 |l 0 |p MAT6747 |r 2016-07-26 |w 2016-07-26 |y BK | ||