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: | Book Chapter |
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KIT Scientific Publishing
2007
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| Online Access: | Get Fullteks DOAB: description of the publication |
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| LEADER | 01466naaaa2200277uu 4500 | ||
|---|---|---|---|
| 001 | doab_20_500_12854_49172 | ||
| 005 | 20210211 | ||
| 020 | |a KSP/1000005774 | ||
| 020 | |a 9783866441088 | ||
| 024 | 7 | |a 10.5445/KSP/1000005774 |c doi | |
| 041 | 0 | |a English | |
| 042 | |a dc | ||
| 100 | 1 | |a Weber, Andreas |4 auth | |
| 245 | 1 | 0 | |a Heat kernel estimates and L p -spectral theory of locally symmetric spaces |
| 260 | |b KIT Scientific Publishing |c 2007 | ||
| 300 | |a 1 electronic resource (XII, 94 p. p.) | ||
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a 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. | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by-nc-nd/4.0/ |2 cc |4 https://creativecommons.org/licenses/by-nc-nd/4.0/ | ||
| 546 | |a English | ||
| 653 | |a Laplace-Beltrami-Operator | ||
| 653 | |a Wärmeleitungskern | ||
| 653 | |a Lokal symmetrischer Raum | ||
| 653 | |a Spektrum | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://www.ksp.kit.edu/9783866441088 |7 0 |z Get Fullteks |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/49172 |7 0 |z DOAB: description of the publication |