Orthogonality relations on certain homogeneous spaces

DOI10.1090/PROC/15690zbMath1490.43009OpenAlexW3172719184MaRDI QIDQ5027156

Chi-Wai Leung

Publication date: 4 February 2022

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

Full work available at URL: https://doi.org/10.1090/proc/15690

zbMATH Keywords

Fourier transformGelfand pairsspectral pairs

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Measures on groups and semigroups, etc. (43A05) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Cites Work

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• Spectral theory of finite volume domains in \(R^ n\).
• A generalization to locally compact Abelian groups of a spectral problem for commuting partial differential operators
• Spectral pairs in Cartesian coordinates
• Commuting self-adjoint partial differential operators and a group theoretic problem
• On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem

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