Wiener Tauberian theorems for \(L^1(K\setminus G/K)\)

DOI10.2140/pjm.2009.241.117zbMath1165.43006OpenAlexW2091983238MaRDI QIDQ1011642

E. K. Narayanan

Publication date: 8 April 2009

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

Full work available at URL: http://pjm.math.berkeley.edu/pjm/2009/241-1/p03.xhtml

zbMATH Keywords

spherical functionssemisimple Lie groupsspherical Fourier transformsWiener Tauberian theorems

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (4)

WIENER TAUBERIAN THEOREMS FOR CERTAIN BANACH ALGEBRAS ON REAL RANK ONE SEMISIMPLE LIE GROUPS ⋮ Some questions on integral geometry on noncompact symmetric spaces of higher rank ⋮ 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 \(\mathrm{SL}(2, \mathbb{R} )\)

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