Spherical functions on the quantum group \(\text{SU}(1,1)\) and the \(q\)-analogue of the Mehler-Fock formula

DOI10.1007/BF01090677zbMath0726.43012OpenAlexW2022924893MaRDI QIDQ803865

L. L. Vaksman, Leonid I. Korogodsky

Publication date: 1991

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01090677

zbMATH Keywords

quantum groupHopf algebramatrix elementsunitarizable representationsMehler-Fock formulaPlancherel decomposition formula

Mathematics Subject Classification ID

Related Items (6)

Spectral analysis for the Casimir operator on the quantum group \(SU_ q(1,1)\) ⋮ Eigenfunction expansion associated with the Casimir operator on the quantum group \(SU_ q(1,1)\) ⋮ On the construction of quantum homogeneous spaces from \(^{\ast}\)-Galois objects ⋮ Non-extremal weight modules for quantized universal enveloping algebras ⋮ Towards a full solution of the large N double-scaled SYK model ⋮ Unnamed Item

Cites Work

• Poisson manifolds and the Schouten bracket
• Quantum groups

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