Weighted Littlewood-Paley theory and exponential-square integrability (eBook, 2008) [WorldCat.org]
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Weighted Littlewood-Paley theory and exponential-square integrability

Author: Michael Wilson
Publisher: Berlin ; New York : Springer, ©2008.
Series: Lecture notes in mathematics (Springer-Verlag), 1924.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Wilson, Michael, 1955-
Weighted Littlewood-Paley theory and exponential-square integrability.
Berlin ; New York : Springer, ©2008
(DLC) 2007934022
(OCoLC)175285200
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michael Wilson
ISBN: 9783540745877 3540745874 9783540745822 3540745823
OCLC Number: 233973477
Language Note: English.
Description: 1 online resource (xi, 224 pages)
Contents: 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1924.
Responsibility: Michael Wilson.

Abstract:

Littlewood-Paley theory extends some of the benefits of orthogonality to situations where it doesn't make sense by letting certain oscillatory infinite series of functions be controlled in terms of  Read more...

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From the reviews:"This engaging book by J. Michael Wilson concentrates on weighted inequalities of the forms ... . The subject matter is presented in a fashion accessible to an advanced graduate Read more...

 
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