Weighted Littlewood-Paley Theory and Exponential-Square Integrability

By:

Michael Wilson

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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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.

Author Biography:

Michael Wilson received his PhD in mathematics from UCLA in 1981. After post-docs at the University of Chicago and the University of Wisconsin (Madison), he came to the University of Vermont, where he has been since 1986. He has held visiting positions at Rutgers University (New Brunswick) and the Universidad de Sevilla.

Release date Australia

October 18th, 2007

Author

Michael Wilson

Audience

Undergraduate

Illustrations

XIII, 227 p.

Pages

227

Series

Lecture Notes in Mathematics

Dimensions

155x235x14

ISBN-13

9783540745822

Product ID

2109321

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