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© 2005

Posn(R) and Eisenstein Series

  • Authors
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1868)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Jay Jorgenson, Serge Lang
    Pages 1-22
  3. Jay Jorgenson, Serge Lang
    Pages 23-47
  4. Jay Jorgenson, Serge Lang
    Pages 49-74
  5. Jay Jorgenson, Serge Lang
    Pages 75-94
  6. Jay Jorgenson, Serge Lang
    Pages 95-106
  7. Jay Jorgenson, Serge Lang
    Pages 107-120
  8. Jay Jorgenson, Serge Lang
    Pages 121-132
  9. Jay Jorgenson, Serge Lang
    Pages 133-162
  10. Back Matter
    Pages 163-168

About this book

Introduction

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.

Keywords

Analysis on positive symmetric matrices Finite Invariant calculus function

Bibliographic information

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)