Lectures on Gaussian Integral Operators and Classical Groups

von

Neretin, Yurii A.

BuchGebunden

557 Seiten

Englisch

EMS Presserschienen am25.02.20111., Aufl.

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 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.mehr

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KlappentextThis 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 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.

Details

ISBN/GTIN978-3-03719-080-7

ProduktartBuch

EinbandartGebunden

Verlag

EMS Press

Erscheinungsjahr2011

Erscheinungsdatum25.02.2011

Auflage1., Aufl.

ReiheEMS Series of Lectures in Mathematics

Seiten557 Seiten

SpracheEnglisch