New Theorems about Spherical Harmonic Expansions and SU(2)

DOI10.1063/1.1665399zbMath0198.47701OpenAlexW2036414576MaRDI QIDQ5595495

A. J. Dragt, Brian Lee Beers

Publication date: 1970

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1665399

zbMATH Keywords

functional analysis

Related Items (11)

General solutions of relativistic wave equations. II: Arbitrary spin chains ⋮ Spherical harmonics \(Y_l^m(\theta, \phi)\): positive and negative integer representations of \(\mathrm{su}(1,1)\) for \(l - m\) and \(l + m\) ⋮ Harmonic Analysis of Analytic Functions on Hyperspheres ⋮ Analytic vector harmonic expansions on S U (2) and S2 ⋮ Coherency of su(1,1)-Barut–Girardello type and entanglement for spherical harmonics ⋮ On Lorentz invariant distributions ⋮ Sur la transformation de Fourier-Laurent dans un groupe analytique complexe réductif ⋮ Analytic continuation of the Fourier series on connected compact Lie groups ⋮ Dynamical symmetry group and quantum splittings for a free particle on the group manifold AdS3 ⋮ New generalized coherent states arising from generating functions: a novel approach ⋮ Theorem on the Convergence Rate of Generalized Fourier Series

Cites Work

• Summation of Fourier Series on Compact Groups
• On the exponential solution of differential equations for a linear operator

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