Softcover ISBN:  9783037190807 
Product Code:  EMSSERLEC/13 
List Price:  $78.00 
AMS Member Price:  $62.40 
Softcover ISBN:  9783037190807 
Product Code:  EMSSERLEC/13 
List Price:  $78.00 
AMS Member Price:  $62.40 

Book DetailsEMS Series of Lectures in MathematicsVolume: 13; 2011; 571 ppMSC: Primary 22; 53; 47; 32; 51; 14
This book is an elementary selfcontained introduction to some constructions of representation theory and related topics of differential geometry and analysis.
Topics covered include the theory of various Fourierlike integral operators such as Segal–Bargmann transforms, Gaussian integral operators in \(L^2\) and in the Fock space, integral operators with thetakernels, 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 thetafunctions 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.
ReadershipGraduate students and research mathematicians interested in representation theory, differential geometry, and operator theory.

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This book is an elementary selfcontained introduction to some constructions of representation theory and related topics of differential geometry and analysis.
Topics covered include the theory of various Fourierlike integral operators such as Segal–Bargmann transforms, Gaussian integral operators in \(L^2\) and in the Fock space, integral operators with thetakernels, 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 thetafunctions 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.
Graduate students and research mathematicians interested in representation theory, differential geometry, and operator theory.