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Lecture on FIOs

Introductory Workshop: Microlocal Analysis September 03, 2019 - September 06, 2019

September 05, 2019 (01:30 PM PDT - 02:30 PM PDT)
Speaker(s): Raluca Felea (Rochester Institute of Technology), Allan Greenleaf (University of Rochester)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

11-Greenleaf

Abstract

In these 3 lectures, we give an introduction to Fourier Integral Operators (FIOs) with examples and applications. The lectures cover: wave front sets, Hormander-Sato Lemma, conormal distributions, Fourier integral distributions, symplectic manifolds and their Lagrangians, transverse and clean intersection calculus, symbol calculus, some estimates for FIOs and an introduction to I^{p,l} classes.

Supplements
Asset no preview Lecture Notes 281 KB application/pdf Download
Asset no preview Notes 8.95 KB application/pdf Download
Video/Audio Files

11-Greenleaf

H.264 Video 897_24722_7909_11-Greenleaf.mp4
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