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Lecture Notes in Mathematics

Weighted Littlewood-Paley Theory and Exponential-Square Integrability

Authors: Wilson, Michael

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About this book

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.

About the authors

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.

Reviews

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 student. Proofs of major … results are usually given in full. … There are a good number of exercises at the end of each chapter … . In addition there are many suggestions in the body of the text to prove or further investigate a given result." (Caroline P. Sweezy, Mathematical Reviews, Issue 2008 m)


Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-540-74587-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Weighted Littlewood-Paley Theory and Exponential-Square Integrability
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1924
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-74587-7
DOI
10.1007/978-3-540-74587-7
Softcover ISBN
978-3-540-74582-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIII, 227
Topics

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