ENGLISH

Weighted Littlewood-Paley Theory and Exponential-Square Integrability

By Michael Wilson (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
978-3-540-74582-2, 978-3-540-74587-7
DOI
10.1007/978-3-540-74587-7
Language
english
Format
PDF
Filesize
1 MB (1310048 bytes)
Series
Lecture Notes in Mathematics 1924
Edition
1
Pages
227\232
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Fourier Analysis; Partial Differential Equations

Description

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 discoveries, the methods behind them, their consequences, and some of their applications.

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