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Geometric Counting on Wavefront Real Spherical Spaces
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作者 bernhard krotz Eitan SAYAG Henrik SCHLICHTKRULL 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2018年第3期488-531,共44页
We provide L^p-versus L~∞-bounds for eigenfunctions on a real spherical space Z of wavefront type. It is shown that these bounds imply a non-trivial error term estimate for lattice counting on Z. The paper also serve... We provide L^p-versus L~∞-bounds for eigenfunctions on a real spherical space Z of wavefront type. It is shown that these bounds imply a non-trivial error term estimate for lattice counting on Z. The paper also serves as an introduction to geometric counting on spaces of the mentioned type. 展开更多
关键词 Homogeneous spaces real spherical spaces lattice counting error term wavefront lemma spectral analysis norm comparison of eigenfunctions
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Harmonic Analysis for Real Spherical Spaces
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作者 bernhard krotz Henrik SCHLICHTKRULL 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2018年第3期341-370,共30页
We give an introduction to basic harmonic analysis and representation theory for homogeneous spaces Z = G/H attached to a real reductive Lie group G. A special emphasis is made to the case where Z is real spherical.
关键词 Real spherical spaces harmonic analysis homogeneous spaces representation theory
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