2006/01/26 by Jae-Hyun Yang, Yang, Jae-Hyun
Mathematics · #11F50 #43A85 #Advanced Algebra and Geometry #Analytic and geometric function theory #FOS: Mathematics #Mathematical Analysis and Transform Methods #Number Theory (math.NT) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.math/0601655
openalex publication_date 2006/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article is an expository paper. We first survey developments over the past three decades in the theory of harmonic analysis on reductive symmetric spaces. Next we deal with the particular homogeneous space of non-reductive type, the so called Siegel-Jacobi space that is important arithmetically and geometrically. We present some new results on the Siegel-Jacobi space.