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La forme normale de Birkhoff pour un opérateur intégral de Fourier

Asymptotic Analysis

Impact Factor: 0.9 / 5-Year Impact Factor: 0.9

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First published online June, 1998

La forme normale de Birkhoff pour un opérateur intégral de Fourier

Volume 17, Issue 1

https://doi.org/10.3233/ASY-1998-296

Abstract

We define the Birkhoff normal form for the Fourier integral operator $M$ associated to canonical transformation of the real hyperbolic type using the representation of $M$ as an exponent of $h$ ‐pseudodifferential operator (microlocally near the fixed point of the transformation).

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