Lectures on Gaussian Integral Operators and Classical Groups

von Yurii A. Neretin

557 Seiten, Buch

Kurzbeschreibung des Verlags

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.

• Reihe: EMS Series of Lectures in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein
• ISBN: 9783037190807
• Sprache: Englisch
• Erscheinungsdatum: 25.02.2011
• Größe: 24 x 17 cm
• Verlag: EMS Press