Jonathan Hickman- On Littlewood-Paley Theory for Space Curves
Offered By: Hausdorff Center for Mathematics via YouTube
Course Description
Overview
Explore Littlewood-Paley theory for space curves in this 45-minute lecture from the Hausdorff Center for Mathematics. Delve into the powerful tools of square function and Littlewood-Paley inequalities used in harmonic analysis, PDE, and analytic number theory to analyze functions with Fourier transforms supported in submanifold neighborhoods of R^n. Examine an approach to studying square functions associated with space curves, focusing on the careful analysis of sublevel sets of univariate polynomials. Discover how this robust method applies to various settings in number theory, including rings of congruence classes Z/NZ. Learn about the joint work of Jonathan Hickman and Jim Wright in this informative presentation on advanced mathematical concepts.
Syllabus
Jonathan Hickman: On Littlewood-Paley theory for space curves
Taught by
Hausdorff Center for Mathematics
Related Courses
Fundamentals of Digital Image and Video ProcessingNorthwestern University via Coursera Signals and Systems, Part 1
Indian Institute of Technology Bombay via edX Getting started in cryo-EM
California Institute of Technology via Coursera Networks and Systems
Indian Institute of Technology Madras via Swayam MRI Fundamentals
Korea Advanced Institute of Science and Technology via Coursera