caa a22 4500 445836997 CHVBK 20180317145332.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00209-010-0750-1 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0750-1 Wiener-Tauberian type theorems for radial sections of homogenous vector bundles on certain rank one Riemannian symmetric spaces of noncompact type [Elektronische Daten] [Sanjoy Pusti, Swagato Ray, Rudra Sarkar] We will show that an uniform treatment yields Wiener-Tauberian type results for various Banach algebras and modules consisting of radial sections of some homogenous vector bundles on rank one Riemannian symmetric spaces G/K of noncompact type. One example of such a vector bundle is the spinor bundle. The algebras and modules we consider are natural generalizations of the commutative Banach algebra of integrable radial functions on G/K. The first set of them are Beurling algebras with analytic weights, while the second set arises due to Kunze-Stein phenomenon for noncompact semisimple Lie groups. Springer-Verlag, 2010 Lorentz spaces nationallicence Spinor nationallicence Wiener-Tauberian theorem nationallicence Pusti Sanjoy Stat-Math Unit, Indian Statistical Institute, 203 B. T. Rd., 700108, Calcutta, India aut Ray Swagato Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, 208016, Kanpur, India aut Sarkar Rudra Stat-Math Unit, Indian Statistical Institute, 203 B. T. Rd., 700108, Calcutta, India aut Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 555-586 0025-5874 269:1-2<555 2011 269 209 https://doi.org/10.1007/s00209-010-0750-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0750-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pusti Sanjoy Stat-Math Unit, Indian Statistical Institute, 203 B. T. Rd., 700108, Calcutta, India aut NATIONALLICENCE 700 1- Ray Swagato Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, 208016, Kanpur, India aut NATIONALLICENCE 700 1- Sarkar Rudra Stat-Math Unit, Indian Statistical Institute, 203 B. T. Rd., 700108, Calcutta, India aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 555-586 0025-5874 269:1-2<555 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer