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...
Format: | eBook |
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Language: | English |
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KIT Scientific Publishing
2007
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Online Access: | Open Access: DOAB: description of the publication Open Access: DOAB, download the publication |
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003 | oapen | ||
005 | 20210211 | ||
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020 | |a 9783866441088 | ||
020 | |a KSP/1000005774 | ||
024 | 7 | |a 10.5445/KSP/1000005774 |2 doi | |
040 | |a oapen |c oapen | ||
041 | 0 | |a eng | |
042 | |a dc | ||
720 | 1 | |a Weber, Andreas |4 aut | |
245 | 0 | 0 | |a Heat kernel estimates and L p -spectral theory of locally symmetric spaces |
260 | |b KIT Scientific Publishing |c 2007 | ||
300 | |a 1 online resource (XII, 94 p. p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
506 | 0 | |a Open Access |f Unrestricted online access |2 star | |
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 |u https://creativecommons.org/licenses/by-nc-nd/4.0/ | ||
546 | |a English | ||
653 | |a Laplace-Beltrami-Operator | ||
653 | |a Lokal symmetrischer Raum | ||
653 | |a Spektrum | ||
653 | |a Wärmeleitungskern | ||
793 | 0 | |a DOAB Library. | |
856 | 4 | 0 | |u https://directory.doabooks.org/handle/20.500.12854/49172 |7 0 |z Open Access: DOAB: description of the publication |
856 | 4 | 0 | |u https://www.ksp.kit.edu/9783866441088 |7 0 |z Open Access: DOAB, download the publication |