Harmonic analysis for real spherical spaces

Bernhard Krötz; Henrik Schlichtkrull

Harmonic analysis for real spherical spaces

Representation Theory 2018-05-29 v2

Authors: Bernhard Krötz , Henrik Schlichtkrull

Abstract

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.

Keywords

group representations representation theory harmonic maps

Cite

@article{arxiv.1612.01841,
  title  = {Harmonic analysis for real spherical spaces},
  author = {Bernhard Krötz and Henrik Schlichtkrull},
  journal= {arXiv preprint arXiv:1612.01841},
  year   = {2018}
}

Comments

Shortened title, typos fixed, more details on dual smooth Frobenius reciprocity (now Lemma 6.6). 38 pages, lecture notes for the Sanya meeting on spherical varieties. To appear in Acta Math. Sinica

Harmonic analysis for real spherical spaces

Abstract

Keywords

Cite

Comments

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