What is a singular integral operator?

Document Type

Presentation Abstract

Presentation Date

5-9-2011

Abstract

Singular integrals operators (SIOs) are very important in the study of partial differential equations, operator theory, abstract harmonic analysis, and many other fields. For example, in Fourier analysis, SIOs have connections with some very important problems regarding the convergence of Fourier series. On the real line, the prototypical SIO is the Hilbert transform. We will use the Hilbert transform to highlight common techniques that are used to establish mapping properties of integral operators, while, in the process, addressing common issues that arise while computing specific singular integrals.

Additional Details

Monday, 9 May 2011
3:10 p.m. in Math 103
4:00 p.m. Refreshments in Math Lounge 109

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