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Author : Qihong Fan
Release : 1994
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Harmonic Analysis on Tube Type Affine Homogeneous Phase Space by : Qihong Fan
Download or read book Harmonic Analysis on Tube Type Affine Homogeneous Phase Space written by Qihong Fan. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. B. Folland
Release : 1989-03-21
Genre : Mathematics
Kind : eBook
Book Rating : 289/5 ( reviews)
Book Synopsis Harmonic Analysis in Phase Space by : G. B. Folland
Download or read book Harmonic Analysis in Phase Space written by G. B. Folland. This book was released on 1989-03-21. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.
Author : Gerald B. Folland
Release : 2016-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 427/5 ( reviews)
Book Synopsis Harmonic Analysis in Phase Space. (AM-122), Volume 122 by : Gerald B. Folland
Download or read book Harmonic Analysis in Phase Space. (AM-122), Volume 122 written by Gerald B. Folland. This book was released on 2016-03-02. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.
Author : Donggao Deng
Release : 2009-08-29
Genre : Mathematics
Kind : eBook
Book Rating : 342/5 ( reviews)
Book Synopsis Harmonic Analysis on Spaces of Homogeneous Type by : Donggao Deng
Download or read book Harmonic Analysis on Spaces of Homogeneous Type written by Donggao Deng. This book was released on 2009-08-29. Available in PDF, EPUB and Kindle. Book excerpt: This book could have been entitled “Analysis and Geometry.” The authors are addressing the following issue: Is it possible to perform some harmonic analysis on a set? Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure ? and we would like to construct some algorithms which in the classical setting rely on the Fourier transformation. Needless to say, the Fourier transformation does not exist on an arbitrary metric set. This endeavor is not a revolution. It is a continuation of a line of research whichwasinitiated,acenturyago,withtwofundamentalpapersthatIwould like to discuss brie?y. The ?rst paper is the doctoral dissertation of Alfred Haar, which was submitted at to University of Gottingen ̈ in July 1907. At that time it was known that the Fourier series expansion of a continuous function may diverge at a given point. Haar wanted to know if this phenomenon happens for every 2 orthonormal basis of L [0,1]. He answered this question by constructing an orthonormal basis (today known as the Haar basis) with the property that the expansion (in this basis) of any continuous function uniformly converges to that function.
Author : Sigurdur Helgason
Release : 1981
Genre : Mathematics
Kind : eBook
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Book Synopsis Topics in Harmonic Analysis on Homogeneous Spaces by : Sigurdur Helgason
Download or read book Topics in Harmonic Analysis on Homogeneous Spaces written by Sigurdur Helgason. This book was released on 1981. Available in PDF, EPUB and Kindle. Book excerpt:
