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Harmonic Analysis for Real Spherical Spaces

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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.

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Acknowledgements

These lecture notes were originally prepared for a mini-course given at the Tsinghua Sanya International Mathematics Forum in November 2016. We are grateful to Michel Brion and Baohua Fu for providing the opportunity to present the material on that occasion.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Paderborn, Warburger Straße 100, 33098, Paderborn, Germany

    Bernhard Krötz

  2. Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen Ø, Denmark

    Henrik Schlichtkrull

Authors
  1. Bernhard Krötz
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  2. Henrik Schlichtkrull
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Correspondence to Bernhard Krötz.

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Krötz, B., Schlichtkrull, H. Harmonic Analysis for Real Spherical Spaces. Acta. Math. Sin.-English Ser. 34, 341–370 (2018). https://doi.org/10.1007/s10114-017-6557-9

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  • DOI: https://doi.org/10.1007/s10114-017-6557-9

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