Strong multiplicity one theorems for locally homogeneous spaces of compact-type

DOI10.1090/proc/14980zbMath1440.22009arXiv1804.08288OpenAlexW3106018191WikidataQ126410613 ScholiaQ126410613MaRDI QIDQ5111525

Roberto J. Miatello, Emilio A. Lauret

Publication date: 27 May 2020

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

Full work available at URL: https://arxiv.org/abs/1804.08288

zbMATH Keywords

strong multiplicity one theoremright regular representationrepresentation equivalent

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Compact groups (22C05)

Related Items (1)

Strong representation equivalence for compact symmetric spaces of real rank one

Cites Work

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• Matrix valued orthogonal polynomials for Gelfand pairs of rank one
• The Helgason Fourier transform for homogeneous vector bundles over compact Riemannian symmetric spaces -- the local theory
• Strong representation equivalence for compact symmetric spaces of real rank one
• A generalization of the Cartan-Helgason theorem for Riemannian symmetric spaces of rank one
• Level one algebraic cusp forms of classical groups of small rank
• On a Spectral Analog of the Strong Multiplicity One Theorem
• A refinement of strong multiplicity one for spectra of hyperbolic manifolds
• Lie groups beyond an introduction

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