Exponential decay for products of Fourier integral operators

Nalini Anantharaman (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

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.

Mots clés: norm of Fourier integral operators

Domaines: Mathématiques générales [math.GM]; Equations aux dérivées partielles [math.AP]

Nalini Anantharaman. Exponential decay for products of Fourier integral operators. 2010. ⟨hal-00501846v2⟩