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Decay of matrix coefficients on reductive homogeneous spaces of spherical type
Authors:Bernhard Krötz  Eitan Sayag  Henrik Schlichtkrull
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
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) .
Keywords:
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