Weighted Littlewood-Paley Theory and Exponential-Square Integrability
Springer, 31 dec. 2007 - 227 pagini
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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Michael Wilson. Weighted Littlewood-Paley Theory and Exponential-Square Integrability 2) Springer Lecture Notes in Mathematics 1924 Editors: J.-M. Morel, Cachan F. Michael Wilson Front Cover.
Michael Wilson. Lecture Notes in Mathematics 1924 Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris Michael Wilson Weighted Littlewood-Paley Theory and Exponential-Square Integrability BC Author.
Michael Wilson. Michael Wilson Weighted Littlewood-Paley Theory and Exponential-Square Integrability BC Author Michael Wilson Department of Mathematics University of Vermont Burlington,
Michael Wilson. I dedicate this book to my parents, James and Joyce Wilson. Preface Littlewood-Paley theory can be thought of as a profound.
Littlewood-Paley theory can be thought of as a profound generalization of the Pythagorean theorem. If x ∈ Rd—say, x = (x 1, x2, ... , xd)—then we define x's norm, x, to be ( ∑ d1x2n)1/2. This norm has the good property that, ...
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