Eisenstein series on affine Kac-Moody groups over function fields

Author:

Lee Kyu-Hwan,Lombardo Philip

Abstract

In his pioneering work, H. Garland constructed Eisenstein series on affine Kac-Moody groups over the field of real numbers. He established the almost everywhere convergence of these series, obtained a formula for their constant terms, and proved a functional equation for the constant terms. In his subsequent paper, the convergence of the Eisenstein series was obtained. In this paper, we define Eisenstein series on affine Kac-Moody groups over global function fields using an adelic approach. In the course of proving the convergence of these Eisenstein series, we also calculate a formula for the constant terms and prove their convergence and functional equations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference18 articles.

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4. Certain Eisenstein series on loop groups: convergence and the constant term;Garland, H.,2004

5. Absolute convergence of Eisenstein series on loop groups;Garland, Howard;Duke Math. J.,2006

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