Intertwining operators and the representations of \(SL(2,R)\)

DOI10.1016/0022-1236(70)90071-6zbMath0208.15602OpenAlexW1990186671MaRDI QIDQ2543611

Paul J. jun. Sally

Publication date: 1970

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(70)90071-6

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items

An invariant trace formula for the universal covering group of \(\text{SL}(2,\mathbb{R})\), Les formes automorphes feuilletées, Composition series and intertwining operators for the spherical principal series, On the Quasi-Simple Irreducible Representations of the Lorentz Groups, Functional analysis on SU(1,1), Hyperbolic spaces, principal series, and \({\text{O}}(2,\infty )\), The Paley-Wiener tpye theorem for finite covering groups of SU(1,1), Mackey analogy via 𝒟-modules for SL(2, ℝ), Kähler groups, real hyperbolic spaces and the Cremona group. With an appendix by Serge Cantat, Composition Series and Intertwining Operators for the Spherical Principal Series. I, The 𝒫(𝜑)₂ Model on de Sitter Space

Cites Work

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• The Plancherel formula for the universal covering group of SL(R, 2)
• Irreducible unitary representations of the Lorentz group
• Analytic continuation of the irreducible unitary representations of the universal covering group of 𝑆𝐿(2,𝑅)
• On the Plancherel theorem of the $2 \times 2$ real unimodular group
• Uniformly Bounded Representations III: Intertwining Operators for the Principal Series on Semisimple Groups
• Plancherel Formula for the 2 × 2 Real Unimodular Group