Weighted Littlewood-Paley theory and exponential-square integrability /

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Bibliographic Details
Author / Creator:Wilson, Michael, 1955-
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
Hidden Bibliographic Details
ISBN:9783540745877
3540745874
9783540745822
3540745823
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

MARC

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245 1 0 |a Weighted Littlewood-Paley theory and exponential-square integrability /  |c Michael Wilson. 
260 |a Berlin ;  |a New York :  |b Springer,  |c ©2008. 
300 |a 1 online resource (xi, 224 pages). 
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490 1 |a Lecture notes in mathematics,  |x 0075-8434 ;  |v 1924 
504 |a Includes bibliographical references (pages 219-221) and index. 
588 0 |a Print version record. 
505 0 |a Some Assumptions -- An Elementary Introduction -- Exponential Square -- Many Dimensions; Smoothing -- The Calderón Reproducing Formula I -- The Calderón Reproducing Formula II -- The Calderón Reproducing Formula III -- Schrödinger Operators -- Some Singular Integrals -- Orlicz Spaces -- Goodbye to Good-? -- A Fourier Multiplier Theorem -- Vector-Valued Inequalities -- Random Pointwise Errors. 
520 |a 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. 
546 |a English. 
650 0 |a Littlewood-Paley theory.  |0 http://id.loc.gov/authorities/subjects/sh94002140 
650 4 |a Littlewood-Paley theory. 
650 6 |a Littlewood-Paley, Théorie de. 
650 7 |a Littlewood-Paley theory.  |2 fast  |0 (OCoLC)fst01000542 
650 7 |a Littlewood-Paley, Théorie de.  |2 rvm 
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650 7 |a Civil & Environmental Engineering.  |2 hilcc 
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655 4 |a Electronic books. 
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