A normal form around a Lagrangian submanifold of radial points

2012/10/04 by Nick Haber, Haber, Nick
Mathematics · #35P25 #35S05 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35P25 #msc:35S05

paper · pdf · doi:10.48550/arxiv.1210.1275

14 pages

arxiv created 2012/10/04 · arxiv updated 2012/10/05

Abstract

In this work we produce microlocal normal forms for pseudodifferential operators which have a Lagrangian submanifold of radial points. This answers natural questions about such operators and their associated classical dynamics. In a sequel, we will give a microlocal parametrix construction, as well as a construction of a microlocal Poisson operator, for such pseudodifferential operators.

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