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Harmonic analysis

WIREs Computational Statistics, 2011
AbstractHarmonic analysis is the foundation for much of modern mathematical analysis. Based on the idea of breaking up an arbitrary function into simple component functions, harmonic analysis has become a powerful and pervasive part of mathematics. Image processing, signal compression, partial differential equations, control theory, and many other ...
Peter Lax, Lawrence Zalcman
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Noneuclidean Harmonic Analysis

SIAM Review, 1982
Analysis on Lie groups and their homogeneous spaces has seen a recent flowering, thanks to the work of Harish-Chandra, Helgason, Selberg and many others.
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Harmonic analysis

2001
Abstract After the fundamental achievements by D. Bernoulli, Fourier, and Dirichlet, the history of trigonometric series came to a turning point at the beginning of the XXth century (Pier 1990).
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Harmonic Analysis.

The American Mathematical Monthly, 1967
Richard Iltis   +2 more
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Harmonic Analysis on Semigroups

The Annals of Mathematics, 1983
wherever t > 0 and 1 < p < so. E. M. Stein [St 3] developed a "LittlewoodPaley" theory for such semigroups, with some additional hypotheses. R. R. Coifman, R. Rochberg, and G. Weiss [CRW] pointed out that some of Stein's estimates could be obtained more simply by the use of "transference" techniques which were developed by Coifman and Weiss [CW].
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