Date: Thursday, November 08, 2012
Location: 2866 East Hall (5:10 PM to 6:00 PM)
Title: Littlewood-Paley Theory: A Brief Introduction
Abstract: The Littlewood-Paley theory was first developed in the 1930s by Littlewood, Paley, Zygmund, and others while studying one dimensional Fourier series. The theory has since been generalized with many useful applications in harmonic analysis and partial differential equations.The focus of this talk will be on the Littlewood-Paley decomposition, which allows one to decompose a function into dyadic sums of frequency localized components. We will cover some of the basic properties of this decomposition, and as time allows we will demonstrate its use through proving some results useful in the study of partial differential equations.
Speaker: Derek Wood
Institution: University of Michigan
Event Organizer: Purvi Gupta
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