Eigenfunction expansions of functions describing systems with symmetries

DOI10.3842/SIGMA.2007.055zbMath1149.22012arXivmath-ph/0703080OpenAlexW2097450213MaRDI QIDQ2473453

Ivan Kachuryk, A. U. Klimyk

Publication date: 27 February 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0703080

zbMATH Keywords

representationsspecial functionsinvariant operatorssemisimple Lie groupde Sitter group

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Structure and representation of the Lorentz group (22E43) Analysis on other specific Lie groups (43A80) Eigenvalue problems for integral equations (45C05)

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