Birkhoff Normal Forms in Semi-Classical Inverse Problems

2002/01/21 by Alexei Iantchenko, A. Iantchenko, J. Sjoestrand +6
Mathematics · Physics and Astronomy · #35P99 #35S30 #58J53 #FOS: Mathematics #FOS: Physical sciences #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP #msc:35P99 #msc:35S30 #msc:58J53

paper · pdf · doi:10.48550/arxiv.math/0201190

arxiv created 2002/01/21 · openalex publication_date 2002/01/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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