Posn(R) and Eisenstein Series / Edition 1

by Jay Jorgenson, Serge Lang

Overview

Pos_n(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.

Product Details

ISBN-13:	9783540257875
Publisher:	Springer Berlin Heidelberg
Publication date:	09/12/2005
Series:	Lecture Notes in Mathematics , #1868
Edition description:	2005
Pages:	174
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

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.

Editorial Reviews

From the reviews of the first edition:

"This book treats a family of Dirichlet series in several variables associated with positive definite quadratic forms … . The purpose of the book under review is to give a crisp version of this theory. … all of the necessary reduction theory and harmonic analysis is developed simply and efficiently. Although some of the details are, by nature, intricate, this book reduces these to a minimum and provides an accessible account to this important and beautiful area of mathematics." (Samuel James Patterson, Zentralblatt MATH, Vol. 1076, 2006)

From the Publisher