Decay of matrix coefficients on reductive homogeneous spaces of spherical type |
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Authors: | Bernhard Krötz Eitan Sayag Henrik Schlichtkrull |
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Affiliation: | 1. Universit?t Paderborn, Institut für Mathematik, Warburger Stra?e 100, 33098, Paderborn, Germany 2. Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be’er Sheva, 84105, Israel 3. University of Copenhagen, Department of Mathematics, Universitetsparken 5, 2100?, Copenhagen ?, Denmark
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Abstract: | Let (Z) be a homogeneous space (Z=G/H) of a real reductive Lie group (G) with a reductive subgroup (H) . The investigation concerns the quantitative decay of matrix coefficients on (Z) under the assumption that (Z) is of spherical type, that is, minimal parabolic subgroups have open orbits on (Z) . |
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