Integral geometry on \(SL(2;\mathbb{R})\)

DOI10.4310/MRL.2000.V7.N4.A8zbMath0968.22014OpenAlexW1542491885MaRDI QIDQ1588357

Simon G. Gindikin

Publication date: 3 December 2000

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2000.v7.n4.a8

zbMATH Keywords

Plancherel formulacomplex horospherical transform

Mathematics Subject Classification ID

Radon transform (44A12) Semisimple Lie groups and their representations (22E46)

Related Items (9)

Holomorphic horospherical duality ``sphere-cone ⋮ Harish-Chandra's \(c\)-function; 50 years later ⋮ Split quaternionic analysis and separation of the series for \(\mathrm{SL}(2,\mathbb R)\) and \(\mathrm{SL}(2,\mathbb C)/\mathrm{SL}(2,\mathbb R)\) ⋮ The horospherical duality ⋮ Horospherical Cauchy transform on some pseudo-hyperbolic spaces ⋮ Harmonic analysis on symmetric Stein manifolds from the point of view of complex analysis ⋮ Horospherical transform on Riemannian symmetric manifolds of noncompact type ⋮ Complex geometry of real hyperboloids ⋮ Projections Separating Spectra for $\boldsymbol{L^2}$ on Pseudounitary Groups $\boldsymbol{{\mathrm U}(p,q)}$

This page was built for publication: Integral geometry on \(SL(2;\mathbb{R})\)