Posn(R) and Eisenstein Series

Jay Jorgenson, Serge Lang (auth.)354025787X, 9783540257875

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 includes material on special functions, notably gamma and Bessel functions, and focuses on certain mathematical aspects of Eisenstein series.

Table of contents :
GL n (R) Action on Pos n (R)….Pages 1-22
Measures, Integration and Quadratic Model….Pages 23-47
Special Functions on Pos n ….Pages 49-74
Invariant Differential Operators on Pos n (R)….Pages 75-94
Poisson Duality and Zeta Functions….Pages 95-106
Eisenstein Series First Part….Pages 107-120
Geometric and Analytic Estimates….Pages 121-132
Eisenstein Series Second Part….Pages 133-162