Harmonic analysis for real spherical spaces
Bernhard Kr\"otz, Henrik Schlichtkrull
TL;DR
This paper introduces harmonic analysis and representation theory for homogeneous spaces of real reductive Lie groups, focusing on the special case of real spherical spaces, to advance understanding of their structure and analysis.
Contribution
It provides an introduction to harmonic analysis on real spherical spaces, highlighting new techniques and perspectives specific to these spaces within the context of real reductive Lie groups.
Findings
Framework for harmonic analysis on real spherical spaces
Insights into representation theory for these spaces
Potential applications to symmetry and structure analysis
Abstract
We give an introduction to basic harmonic analysis and representation theory for homogeneous spaces attached to a real reductive Lie group . A special emphasis is made to the case where is real spherical.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Mathematical Analysis and Transform Methods · Geometry and complex manifolds