Spectral analysis on pseudo-Riemannian locally symmetric spaces

Fanny Kassel; Toshiyuki Kobayashi

doi:10.3792/pjaa.96.013

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arXiv · 2001.03292

Spectral analysis on pseudo-Riemannian locally symmetric spaces

Fanny Kassel·Toshiyuki Kobayashi

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Abstract

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

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BibTeX RIS

Fanny Kassel, Toshiyuki Kobayashi. 2020-01-10. Spectral analysis on pseudo-Riemannian locally symmetric spaces. https://doi.org/10.3792/pjaa.96.013

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