Heat kernel estimates and L p -spectral theory of locally symmetric spaces
In this work we derive upper Gaussian bounds for the heat kernel on locally symmetric spaces of non-compact type. Furthermore, we determine explicitly the Lp-spectrum of locally symmetric spaces M whose universal covering is a rank one symmetric space of non-compact type if either the fundamental gr...
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| Format: | Online |
| Jezik: | angleščina |
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KIT Scientific Publishing
2021
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| Online dostop: | 34693 |
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Brez oznak, prvi označite!
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| _version_ | 1869521995028234240 |
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| author | Weber, Andreas |
| author_browse | Weber, Andreas |
| author_facet | Weber, Andreas |
| author_sort | Weber, Andreas |
| collection | Directory of Open Access Books |
| description | In this work we derive upper Gaussian bounds for the heat kernel on locally symmetric spaces of non-compact type. Furthermore, we determine explicitly the Lp-spectrum of locally symmetric spaces M whose universal covering is a rank one symmetric space of non-compact type if either the fundamental group of M is small (in a certain sense) or if the fundamental group is arithmetic and M is non-compact. |
| format | Online |
| id | doab-20.500.12854ir-49172 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | KIT Scientific Publishing |
| publisherStr | KIT Scientific Publishing |
| record_format | ojs |
| spelling | doab-20.500.12854ir-491722023-12-20T18:40:35Z Heat kernel estimates and L p -spectral theory of locally symmetric spaces Weber, Andreas QA1-939 Laplace-Beltrami-Operator Wärmeleitungskern Lokal symmetrischer Raum Spektrum bic Book Industry Communication::P Mathematics & science In this work we derive upper Gaussian bounds for the heat kernel on locally symmetric spaces of non-compact type. Furthermore, we determine explicitly the Lp-spectrum of locally symmetric spaces M whose universal covering is a rank one symmetric space of non-compact type if either the fundamental group of M is small (in a certain sense) or if the fundamental group is arithmetic and M is non-compact. 2021-02-11T15:10:23Z 2021-02-11T15:10:23Z 2019-07-30 20:01:58 2007 book 34693 9783866441088 https://directory.doabooks.org/handle/20.500.12854/49172 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://www.ksp.kit.edu/9783866441088 KIT Scientific Publishing 10.5445/KSP/1000005774 10.5445/KSP/1000005774 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783866441088 XII, 94 p. open access |
| spellingShingle | QA1-939 Laplace-Beltrami-Operator Wärmeleitungskern Lokal symmetrischer Raum Spektrum bic Book Industry Communication::P Mathematics & science Weber, Andreas Heat kernel estimates and L p -spectral theory of locally symmetric spaces |
| title | Heat kernel estimates and L p -spectral theory of locally symmetric spaces |
| title_full | Heat kernel estimates and L p -spectral theory of locally symmetric spaces |
| title_fullStr | Heat kernel estimates and L p -spectral theory of locally symmetric spaces |
| title_full_unstemmed | Heat kernel estimates and L p -spectral theory of locally symmetric spaces |
| title_short | Heat kernel estimates and L p -spectral theory of locally symmetric spaces |
| title_sort | heat kernel estimates and l p spectral theory of locally symmetric spaces |
| topic | QA1-939 Laplace-Beltrami-Operator Wärmeleitungskern Lokal symmetrischer Raum Spektrum bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Laplace-Beltrami-Operator Wärmeleitungskern Lokal symmetrischer Raum Spektrum bic Book Industry Communication::P Mathematics & science |
| url | 34693 |
| work_keys_str_mv | AT weberandreas heatkernelestimatesandlpspectraltheoryoflocallysymmetricspaces |