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Harmonic Analysis on Homogeneous Spaces

Number Theory 2007-05-23 v2 Representation Theory

Abstract

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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Cite

@article{arxiv.math/0601655,
  title  = {Harmonic Analysis on Homogeneous Spaces},
  author = {Jae-Hyun Yang},
  journal= {arXiv preprint arXiv:math/0601655},
  year   = {2007}
}

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52 pages