Weighted Littlewood-Paley Theory and Exponential-Square Integrability

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 osci...

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主要作者: Wilson, Michael James, 1955-
格式: Livre numérique
語言:Anglais
出版: Berlin, Heidelberg : Springer Berlin Heidelberg 2008.
Cham : Springer Nature
叢編:Lecture Notes in Mathematics 1924
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Edition sous un autre format:• Weighted Littlewood-Paley theory and exponential-square integrability, Michael Wilson, Berlin, Springer, 2008, 1 vol. (XI-224 p.), Lecture Notes in Mathematics, 978-3-540-74582-2
• Weighted Littlewood-Paley Theory and Exponential-Square Integrability, Texte imprimé, 9783540843115
實物特徵
總結: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.
Item Description:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540745877
ISSN:1617-9692
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