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Weighted Littlewood-Paley Theory and Exponential-Square Integrability (Lecture Notes in Mathematics) (Lecture Notes in Mathematics, 1924, Band 1924) - Softcover

Wilson, Michael

 
9783540745822: Weighted Littlewood-Paley Theory and Exponential-Square Integrability (Lecture Notes in Mathematics) (Lecture Notes in Mathematics, 1924, Band 1924)
Softcover
ISBN 10: 3540745823 ISBN 13: 9783540745822
Verlag: Springer, 2007

Inhaltsangabe

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 infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper. This book offers a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.

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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2007
Sprache
Englisch
ISBN 10 
3540745823
ISBN 13 
9783540745822
Einband
Taschenbuch
Anzahl der Seiten
244
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