Gel′fand’s problem on unitary representations associated with discrete subgroups of {{𝑃𝑆𝐿}}_2({{𝐑}})

DOI10.1090/S0273-0979-1985-15358-3zbMath0581.22013MaRDI QIDQ3704113

Toshikazu Sunada

Publication date: 1985

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

induced representationsnon-Euclidean Laplaciandiscrete subgroup of PSL(2,\({\mathbb{R}})\)non- arithmetic examplesnon- conjugate discrete groupssame spectrum

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Discrete subgroups of Lie groups (22E40) Unitary representations of locally compact groups (22D10) Global Riemannian geometry, including pinching (53C20) Automorphic forms, one variable (11F12)

Related Items (1)

Isospectral Riemann surfaces

Cites Work

• Unnamed Item
• Arithmetic Fuchsian groups with signature \((1;e)\)
• Riemannian coverings and isospectral manifolds
• Isospectral and non-isometric Riemannian manifolds
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• Sur les représentations induites des groupes de Lie
• Spaces of Subgroups and Teichmüller Space
• Maximal Fuchsian groups

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