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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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The Merb Way“Foy is a gifted writer and his descriptions of the philosophies that( impacted the design and implementation of Merb are definitely useful to( everyone affected by the changes in Rails 3.”
–Obie Fernandez, Series Editor
... | | Dan Appleman's Win32 API Puzzle Book and Tutorial for Visual Basic Programmers
This long-awaited complement to Appleman's previous bestseller shows programmers how to turbocharge VB by describing how to control the entire Windows API. Divided into three parts, the book begins with a series of programming puzzles of increasing complexity. Each puzzle describes a typical API function, followed by a small VB program... | | |
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