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1 LM-Orsay - Laboratoire de Mathématiques d-Orsay

Abstract : 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.

Keywords : norm of Fourier integral operators

Author: Nalini Anantharaman -

Source: https://hal.archives-ouvertes.fr/


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