2011/06/14 by Stephen D. Miller, Miller, Stephen D., Wilfried Schmid +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #advanced mathematical theories #math.NT #math.RT
paper · pdf · doi:10.48550/arxiv.1106.2583
46 pages, to appear in Contemporary Mathematics, volume in honor of Gregg Zuckerman's 60th birthday edited by Jeff Adams, Bong Lian and Siddhartha Sahi
arxiv created 2011/06/14 · openalex publication_date 2011/06/14 · arxiv updated 2011/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Automorphic representations can be studied in terms of the embeddings of abstract models of representations into spaces of functions on Lie groups that are invariant under discrete subgroups. In this paper we describe an adelic framework to describe them for the group GL(n,R), and provide a detailed analysis of the automorphic distributions associated to the mirabolic Eisenstein series. We give an explicit functional equation for some distributional pairings involving this mirabolic Eisenstein distribution, and the action of intertwining operators.