Abstract:

One of the reasons why the Fourier transformation is a useful tool is that it converts differentiation (hard to understand) to multiplication (easier to understand). Many of the basic proofs of Fourier theory use complex analysis.

This is a beautiful theory, but unstable under perturbations (for instance, to work on manifolds), as it relies on exact computations that cannot be carried out when things change a little. 

In recent years, there has been interest in avoiding the use of complex analysis.

The talk explains some of the progress and the difficulties.

Speaker

Michael Cowling

Research Area

Pure Maths Seminar

Affiliation

UNSW

Date

Tue, 20/03/2012 - 12:00pm to 1:00pm

Venue

RC-4082, Red Centre, UNSW