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.
Author(s): Jay Jorgenson, Serge Lang (auth.)
Series: Lecture Notes in Mathematics 1868
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2005
Language: English
Pages: 168
Tags: Abstract Harmonic Analysis; Algebraic Geometry; Several Complex Variables and Analytic Spaces
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