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Posn(R) and Eisenstein Series

Lecture Notes in Mathematics 1868

Erschienen am 01.08.2005, 1. Auflage 2005
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Bibliografische Daten
ISBN/EAN: 9783540257875
Sprache: Englisch
Umfang: viii, 174 S.
Einband: kartoniertes Buch

Beschreibung

Gives an introduction to the analysis on symmetric spaces of positive definite real matrices as well as quotients of this space by the unimodular group of integral matrices. This work includes material on special functions, notably gamma and Bessel functions, and focuses on certain mathematical aspects of Eisenstein series.

Inhalt

GLn (R) actions on Posn(R).- Measures, Integration, and Quadratic Model.- Special Functions on Posn(R).- Invariant Differential Operators on Posn(R).- Poisson duality and zeta functions.- Eisenstein Series: First Part.- Geometric and Analytic Estimates.- Eisenstein Series: Second Part.