Weighted Littlewood-Paley theory and exponential-square integrability /
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Author / Creator: | Wilson, Michael, 1955- |
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Imprint: | Berlin ; New York : Springer, ©2008. |
Description: | 1 online resource (xi, 224 pages). |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 1924 Lecture notes in mathematics (Springer-Verlag) ; 1924. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11067330 |
ISBN: | 9783540745877 3540745874 9783540745822 3540745823 |
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Digital file characteristics: | text file PDF |
Notes: | Includes bibliographical references (pages 219-221) and index. English. Print version record. |
Summary: | Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn???t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoverie. |
Other form: | Print version: Wilson, Michael, 1955- Weighted Littlewood-Paley theory and exponential-square integrability. Berlin ; New York : Springer, ©2008 3540745823 |
Standard no.: | 10.1007/978-3-540-74587-7 |
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