Posn(R) and Eisenstein Series

• Main Authors: Jorgenson, Jay (Author), Lang, Serge (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
• Series: Lecture Notes in Mathematics, 1868
• Subjects: Mathematics.; Algebraic geometry.; Harmonic analysis.; Functions of complex variables.; Abstract Harmonic Analysis.; Algebraic Geometry.; Several Complex Variables and Analytic Spaces.

Posn(R) and Eisenstein Series provides an introduction, requiring minimal prerequisites, 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. The approach is presented in very classical terms and inclu...

Table of Contents:

• 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.