Semiclassical Oscillating Functions of Isotropic Type and Their Applications
发布时间:2022年06月08日
浏览次数:3871
发布者: Wenqiong Li
主讲人: Zuoqin Wang (USTC)
活动时间: 从 2022-06-14 14:00 到 15:00
场地: 线上
Abstract: 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).
腾讯会议:397-400-064