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| HAL: hal-00501846, version 1 |
| arXiv: 1007.2066 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2010-07-13) | v2 (2010-07-25) |
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| Exponential decay for products of Fourier integral operators |
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| Nalini Anantharaman 1 |
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| (2010-07-12) |
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| This text contains an alternative presentation, and in certain cases an improvement, of the ``hyperbolic dispersive estimate'' that was proved by Anantharaman and Nonnenmacher and used to make progress towards the quantum unique ergodicity conjecture. The main statement is a sufficient condition to have exponential decay of the norm of a product of sub-unitary Fourier integral operators. The improved estimate will also be needed in future work of the author. |
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| 1: | Laboratoire de Mathématiques d'Orsay (LM-Orsay) |
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CNRS : UMR8628 – Université Paris XI - Paris Sud |
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| Subject | : | Mathematics/General Mathematics Mathematics/Analysis of PDEs |
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| norm of Fourier integral operators |
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| hal-00501846, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00501846 | |
| oai:hal.archives-ouvertes.fr:hal-00501846 | |
| From: Nalini Anantharaman | |
| Submitted on: Monday, 12 July 2010 17:18:10 | |
| Updated on: Tuesday, 13 July 2010 11:56:43 | |
