Harmonic analysis for real spherical spaces (Q1705308)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic analysis for real spherical spaces |
scientific article |
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Harmonic analysis for real spherical spaces (English)
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15 March 2018
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The authors give an introduction to basic harmonic analysis and representation theory for homogeneous spaces \(Z=G/H\) attached to a real reductive Lie group \(G\). The theory becomes complicated for homogeneous spaces of noncompact reductive Lie groups. Special emphasis is given to the case where \(Z\) is real spherical. This is a nice survey article which explains the background of various developments on the topic.
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real spherical spaces
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harmonic analysis
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homogeneous spaces
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representation theory
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