Campuses:

Harmonic analysis

Friday, June 1, 2012 - 2:00pm - 2:50pm
Maria Pereyra (University of New Mexico)
Saturday, June 2, 2012 - 10:00am - 10:50am
Maria Pereyra (University of New Mexico)
Sunday, February 21, 2010 - 2:00pm - 3:30pm
Anna Mazzucato (The Pennsylvania State University)
I will discuss applications of harmonic analysis to the study
of incompressible fluid flow. In particular, I will introduce
Littlewood-Paley frequency decompositions and define Besov and related
function spaces.
I will then show how to construct so-called mild solutions to the
Navier-Stokes equations in these spaces.
Thursday, May 31, 2012 - 10:00am - 10:50am
Maria Pereyra (University of New Mexico)
Wednesday, May 30, 2012 - 10:00am - 10:50am
Maria Pereyra (University of New Mexico)
In this minicourse we will introduce some basic ideas in harmonic analysis via simpler dyadic models and dyadic tools such us Haar shift operators and Bellman functions. We will show how they can be used to describe important continuous objects such as the Hilbert transform or more generally singular integral operators. We will illustrate the power of this approach with the successful resolution of the $A_2$ conjecture by Hytonen.
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