A Normal Form Around a Lagrangian Submanifold of Radial Points

作者:Haber Nick*
来源:International Mathematics Research Notices, 2014, 2014(17): 4804-4821.
DOI:10.1093/imrn/rnt096

摘要

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.

  • 出版日期2014