Birkhoff Normal Forms in Semi-Classical Inverse Problems

Abstract

We apply recent results on semi-classical trace formulae and on Birkhoff normal forms for semi-classical Fourier integral operators to a wide range of semi-classical and high energy spectral inverse problems.

Cited by in corpus (2)

• Inverse spectral problem for analytic plane domains I: Balian-Bloch trace formula
• The inverse resonance problem for ${\mathbb{Z}}_2$-symmetric analytic obstacles in the plane