𝐿^{𝑝} harmonic analysis on 𝑆𝐿(2,𝑅)

DOI10.1090/memo/0393zbMath0655.22011OpenAlexW2088499169MaRDI QIDQ3801799

William H. Barker

Publication date: 1988

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0393

zbMATH Keywords

Fourier transformprincipal series representations\(\mathrm{SL}(2,\mathbb{R})\)\(L^p\)-Schwartz space

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Research exposition (monographs, survey articles) pertaining to topological groups (22-02) Research exposition (monographs, survey articles) pertaining to abstract harmonic analysis (43-02)

Related Items (5)

Non-spherical Harish-Chandra Fourier transforms on real reductive groups ⋮ Beurling's theorem for \(\mathrm{SL} (2, {\mathbb{R}})\) ⋮ Ramanujan's master theorem for radial sections of line bundles over the Poincaré upper half plane ⋮ Invariant distributions and time averages for horocycle flows ⋮ Paley-Wiener theorems for hyperbolic spaces

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