Harmonic Analysis on Homogeneous Spaces

Details Harmonic Analysis on Homogeneous Spaces Harmonic Analysis on Homogeneous Spaces

2006-01-26

arxiv.org/abs/math/0601655v2

Mathematics

Number Theory

52 pages

Scientific paper

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.

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