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| HAL : hal-00126393, version 2 |
| arXiv : math/0701727 |
| Fiche détaillée |  Récupérer au format |
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| International Mathematics Research Notices (2007) no. 22, Art. ID rnm099 |
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| Versions disponibles : | v1 (25-01-2007) | v2 (02-08-2007) |
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| The determinant of the Dirichlet-to-Neumann map for surfaces with boundary |
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| Colin Guillarmou 1Laurent Guillopé 2 |
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| (2007) |
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| For any orientable compact surface with boundary, we compute the regularized determinant of the Dirichlet-to-Neumann (DN) map in terms of particular values of dynamical zeta functions by using natural uniformizations, one due to Mazzeo-Taylor, the other to Osgood-Phillips-Sarnak. We also relate in any dimension the DN map for the Yamabe operator to the scattering operator for a conformally compact related problem by using uniformization. |
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| 1 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS) |
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| 2 : | Laboratoire de Mathématiques Jean Leray (LMJL) |
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CNRS : UMR6629 – Université de Nantes – École Centrale de Nantes |
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| Domaine | : | Mathématiques/Théorie spectrale |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00126393, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00126393 | |
| oai:hal.archives-ouvertes.fr:hal-00126393 | |
| Contributeur : Colin Guillarmou | |
| Soumis le : Jeudi 2 Août 2007, 08:37:57 | |
| Dernière modification le : Mercredi 22 Septembre 2010, 00:11:27 | |
