On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915836087762944 |
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| author | Krötz, Bernhard Kuit, Job J. Schlichtkrull, Henrik |
| author_facet | Krötz, Bernhard Kuit, Job J. Schlichtkrull, Henrik |
| contents | In this article we give an overview of the Plancherel theory for Riemannian symmetric spaces Z = G/K. In particular we illustrate recently developed methods in Plancherel theory for real spherical spaces by explicating them for Riemannian symmetric spaces, and we explain how Harish-Chandra's Plancherel theorem for Z can be proven from these methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08113 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces Krötz, Bernhard Kuit, Job J. Schlichtkrull, Henrik Representation Theory 43A90, 22E46, 43A85 In this article we give an overview of the Plancherel theory for Riemannian symmetric spaces Z = G/K. In particular we illustrate recently developed methods in Plancherel theory for real spherical spaces by explicating them for Riemannian symmetric spaces, and we explain how Harish-Chandra's Plancherel theorem for Z can be proven from these methods. |
| title | On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces |
| topic | Representation Theory 43A90, 22E46, 43A85 |
| url | https://arxiv.org/abs/2409.08113 |