Wiener Tauberian theorems for \(SL_ 2(\mathbb{R} )\)

DOI10.2140/PJM.1997.177.291zbMath0868.43010OpenAlexW2107771251MaRDI QIDQ1816553

Rudra P. Sarkar

Publication date: 24 July 1997

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1997.177.291

zbMATH Keywords

Wiener Tauberian theorem\(K\)-types\(L^ p\)-tempered representations

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (6)

Spectral analysis on SL(2, \(\mathbb{R}\)) ⋮ WIENER TAUBERIAN THEOREMS FOR CERTAIN BANACH ALGEBRAS ON REAL RANK ONE SEMISIMPLE LIE GROUPS ⋮ Note on a result of Kerman and Weit ⋮ Wiener-Tauberian type theorems for radial sections of homogeneous vector bundles on certain rank one Riemannian symmetric spaces of noncompact type ⋮ A genuine analogue of the Wiener Tauberian theorem for some Lorentz spaces on \(\mathrm{SL}(2, \mathbb{R} )\) ⋮ A complete analogue of Hardy's theorem on \(SL_2(\mathbb{R})\) and characterization of the heat kernel

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