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Weighted Fourier Extension Estimates and Applications

Offered By: International Mathematical Union via YouTube

Tags

Fourier Analysis Courses Partial Differential Equations Courses Geometric Measure Theory Courses

Course Description

Overview

Explore recent developments in weighted Fourier extension estimates and their applications in partial differential equations and geometric measure theory in this 43-minute lecture. Delve into topics such as the Fourier restriction problem, the relationship between SME and Fourier restriction conjecture, and a generalization of L2 SME. Examine the divergence set of Schrödinger solutions, spherical average Fourier decay rates of fractal measures, and Falconer's distance set problem. Access accompanying presentation slides for a comprehensive understanding of the subject matter.

Syllabus

Intro
Overview
Fourier restriction problem
SME vs. Fourier restriction conjecture
A generalization of (L2) SME
Divergence set of Schrödinger solutions
Spherical average Fourier decay rates of fractal measures
Falconer's distance set problem


Taught by

International Mathematical Union

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