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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Year of Publication: | 2007 |
Language: | English |
Physical Description: | 1 electronic resource (XII, 94 p. p.) |
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(CKB)4920000000101090 (oapen)https://directory.doabooks.org/handle/20.500.12854/49172 (EXLCZ)994920000000101090 |
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Weber, Andreas auth Heat kernel estimates and L p -spectral theory of locally symmetric spaces KIT Scientific Publishing 2007 1 electronic resource (XII, 94 p. p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier 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. English Laplace-Beltrami-Operator Wärmeleitungskern Lokal symmetrischer Raum Spektrum 3-86644-108-8 |
language |
English |
format |
eBook |
author |
Weber, Andreas |
spellingShingle |
Weber, Andreas Heat kernel estimates and L p -spectral theory of locally symmetric spaces |
author_facet |
Weber, Andreas |
author_variant |
a w aw |
author_sort |
Weber, Andreas |
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_auth |
Heat kernel estimates and L p -spectral theory of locally symmetric spaces |
title_new |
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 |
publisher |
KIT Scientific Publishing |
publishDate |
2007 |
physical |
1 electronic resource (XII, 94 p. p.) |
isbn |
1000005774 3-86644-108-8 |
illustrated |
Not Illustrated |
work_keys_str_mv |
AT weberandreas heatkernelestimatesandlpspectraltheoryoflocallysymmetricspaces |
status_str |
n |
ids_txt_mv |
(CKB)4920000000101090 (oapen)https://directory.doabooks.org/handle/20.500.12854/49172 (EXLCZ)994920000000101090 |
carrierType_str_mv |
cr |
is_hierarchy_title |
Heat kernel estimates and L p -spectral theory of locally symmetric spaces |
_version_ |
1787548899602333696 |