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October 2020 Spectral analysis on pseudo-Riemannian locally symmetric spaces
Fanny Kassel, Toshiyuki Kobayashi
Proc. Japan Acad. Ser. A Math. Sci. 96(8): 69-74 (October 2020). DOI: 10.3792/pjaa.96.013

Abstract

We summarize and announce some 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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Fanny Kassel. Toshiyuki Kobayashi. "Spectral analysis on pseudo-Riemannian locally symmetric spaces." Proc. Japan Acad. Ser. A Math. Sci. 96 (8) 69 - 74, October 2020. https://doi.org/10.3792/pjaa.96.013

Information

Published: October 2020
First available in Project Euclid: 1 October 2020

MathSciNet: MR4155963
Digital Object Identifier: 10.3792/pjaa.96.013

Subjects:
Primary: 22E40
Secondary: 11F72, 22E46, 53C35, 58J50

Rights: Copyright © 2020 The Japan Academy

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Vol.96 • No. 8 • October 2020
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