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[share_ebook] Lectures on Gaussian Integral Operators and Classical Groups (EMS Series of Lectures in Mathematics) free ebook download


作者: Yurii A. Neretin

日期: 2011-02-15

ISBN: 3037190809

页数: 571

语言: English

出版社: European Mathematical Society

标签: 数学



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share_ebook Lectures on Gaussian Integral Operators and Classical Groups EMS Series of Lectures in Mathematics free ebook download
Title:Lectures on Gaussian Integral Operators and Classical Groups (EMS Series of Lectures in Mathematics) free ebook download
Date2011-02-15
Language:English
Format:PDF
Size:4.37 MB

Description:This book is an elementary self-contained introduction to some constructions of representation theory and related topics of differential geometry and analysis. Topics covered include the theory of various Fourier-like integral operators such as Segal-Bargmann transforms, Gaussian integral operators in $L^2$ and in the Fock space, integral operators with theta-kernels, the geometry of real and $p$-adic classical groups and symmetric spaces. The heart of the book is the Weil representation of the symplectic group (real and complex realizations, relations with theta-functions and modular forms, $p$-adic and adelic constructions) and representations in Hilbert spaces of holomorphic functions of several complex variables. This book is addressed to graduate students and researchers in representation theory, differential geometry, and operator theory. Prerequisites are standard university courses in linear algebra, functional analysis, and complex analysis. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.


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