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Spectral analysis on pseudo-Riemannian locally symmetric spaces

Spectral Theory 2021-06-16 v1 Differential Geometry Representation Theory

Abstract

We summarize recent results initiating spectral analysis on pseudo-Riemannian locally symmetric spaces Γ\G/H\Gamma \backslash G/H, beyond the classical setting where HH is compact (e.g. theory of automorphic forms for arithmetic Γ\Gamma) or Γ\Gamma is trivial (e.g. Plancherel-type formula for semisimple symmetric spaces).

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Cite

@article{arxiv.2001.03292,
  title  = {Spectral analysis on pseudo-Riemannian locally symmetric spaces},
  author = {Fanny Kassel and Toshiyuki Kobayashi},
  journal= {arXiv preprint arXiv:2001.03292},
  year   = {2021}
}

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6 pages