Lecture Notes in Mathematics : Lecture Notes in Mathematics - Jay Jorgenson

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Lecture Notes in Mathematics

By: Jay Jorgenson, Serge Lang

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Paperback | 1 August 2005

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184 Pages

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23.5 x 15.88 x 0.64

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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.

Industry 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)

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You Can Find This Book In

Non-Fiction Mathematics Geometry Algebraic Geometry Number Theory Calculus & Mathematical Analysis Complex Analysis

GL[subscript n] (R) action on Pos[subscript n] (R)	p. 1
Measures, integration and quadratic model	p. 23
Special functions on Pos[subscript n]	p. 49
Invariant differential operators on Pos[subscript n] (R)	p. 75
Poisson duality and zeta functions	p. 95
Eisenstein series first part	p. 107
Geometric and analytic estimates	p. 121
Eisenstein series second part	p. 133
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Mathematics

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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