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Posn(R) and Eisenstein Series [electronic resource] / by Jay Jorgenson, Serge Lang.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1868Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005Description: VIII, 168 p. 5 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540315483
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 515.785 23
LOC classification:
  • QA403-403.3
Online resources:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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