Representations of SL(2,R) in a Hilbert space of analytic functions and a class of associated integral transforms
DOI10.1063/1.528571zbMath0671.22009OpenAlexW2084839694MaRDI QIDQ3824611
Publication date: 1989
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528571
inner productunitary irreducible representationsdiscrete seriesmodified Bessel functionmetaplectic representationsentire analytic functionsBargmann-Segal Hilbert spacegroup of integral transforms
Supersymmetric field theories in quantum mechanics (81T60) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Inner product spaces and their generalizations, Hilbert spaces (46C99) General integral transforms (44A05)
Related Items (1)
Cites Work
- Irreducible unitary representations of the Lorentz group
- The Heisenberg–Weyl group in the coherent state basis and the Bargmann transform
- The Lorentz group in the oscillator realization. II. Integral transforms and matrix elements of SO(2,1)
- Canonical transforms. III. Configuration and phase descriptions of quantum systems possessing an s l (2,R) dynamical algebra
- On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
- Exponential Operators and Parameter Differentiation in Quantum Physics
- On the Representations of the Rotation Group
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