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Titlebook: Harmonic Analysis on the Heisenberg Group; Sundaram Thangavelu Book 1998 Springer Science+Business Media New York 1998 Differential Geomet

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發(fā)表于 2025-3-21 18:40:35 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Harmonic Analysis on the Heisenberg Group
編輯Sundaram Thangavelu
視頻videohttp://file.papertrans.cn/425/424292/424292.mp4
叢書名稱Progress in Mathematics
圖書封面Titlebook: Harmonic Analysis on the Heisenberg Group;  Sundaram Thangavelu Book 1998 Springer Science+Business Media New York 1998 Differential Geomet
描述.The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, several complex variables and quantum mechanics. This monograph deals with various aspects of harmonic analysis on the Heisenberg group, which is the most commutative among the non-commutative Lie groups, and hence gives the greatest opportunity for generalizing the remarkable results of Euclidean harmonic analysis. The aim of this text is to demonstrate how the standard results of abelian harmonic analysis take shape in the non-abelian setup of the Heisenberg group...Several results in this monograph appear for the first time in book form, and some theorems have not appeared elsewhere. The detailed discussion of the representation theory of the Heisenberg group goes well beyond the basic Stone-von Neumann theory, and its relations to classical special functions is invaluable for any reader interested in this group. Topic covered include the Plancherel and Paley—Wiener theorems, spectral theory of the sublaplacian, Wiener-Tauberian theorems, Bochner—Riesz means and multipliers for the Fourier transform...Thangavelu’s exposit
出版日期Book 1998
關(guān)鍵詞Differential Geometry; Fourier transform; Gelfand pair; Lie; Quantum Physics; Representation theory; algeb
版次1
doihttps://doi.org/10.1007/978-1-4612-1772-5
isbn_softcover978-1-4612-7275-5
isbn_ebook978-1-4612-1772-5Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Science+Business Media New York 1998
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沙發(fā)
發(fā)表于 2025-3-21 22:42:40 | 只看該作者
Progress in Mathematicshttp://image.papertrans.cn/h/image/424292.jpg
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發(fā)表于 2025-3-22 01:00:54 | 只看該作者
978-1-4612-7275-5Springer Science+Business Media New York 1998
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Analysis of the Sublaplacian,rms of the eigenfunctions of the sublaplacian. For the spectral projection operators, we establish some restriction theorems. Using the restriction theorem, we study the Bochner-Riesz means for the sublaplacian. We also develop a Littlewood-Paley-Stein theory for the sublaplacian and prove a multiplier theorem for the Fourier transform.
6#
發(fā)表于 2025-3-22 13:39:12 | 只看該作者
Book 1998s to classical special functions is invaluable for any reader interested in this group. Topic covered include the Plancherel and Paley—Wiener theorems, spectral theory of the sublaplacian, Wiener-Tauberian theorems, Bochner—Riesz means and multipliers for the Fourier transform...Thangavelu’s exposit
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the system overall performances by reducing network load (i.e. number of contacted peers, avoiding redundancy) and enhancing the relevance of computed recommendations by reducing the number of . recommendations. The peer selection learning cycle is described in detail. Experimental results are also provided and discussed.
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發(fā)表于 2025-3-23 01:34:29 | 只看該作者
Book 1998r theory, several complex variables and quantum mechanics. This monograph deals with various aspects of harmonic analysis on the Heisenberg group, which is the most commutative among the non-commutative Lie groups, and hence gives the greatest opportunity for generalizing the remarkable results of E
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