中科院数学与系统科学研究院

数学研究所

调和分析及其应用研究中心

学术报告

调和分析和偏微分方程研讨班

报告人王作勤(中科大)

 Semiclassical oscillating functions of isotropic type and their applications

  2022.11.23(星期三)16:00-17:00

 点:腾讯会议:361-366-687

  要:Rapidly oscillating functions associated with Lagrangian submanifolds play a fundamental role in semiclassical analysis. In this talk I will describe how to associate classes of semiclassical oscillating functions to isotropic submanifolds in phase space, and show that these classes are invariant under the action of Fourier integral operators (modulo the usual clean intersection condition). We will also discuss some special classes (coherent states, Hermite states) and their applications. The talk is based on joint works with V. Guillemin (MIT) and A. Uribe (U. Michigan).

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