Multiscale Geometry and Analysis in High Dimensions

Mini-Workshop on Bandlimited Functions, PSWFs, and High Order Methods

November 29 - 30, 2004

Schedule

Organizing Committee:

Naoki Saito (University of California at Davis)
Hong Xiao (University of California at Davis)

Scientific Background

The importance of band-limited functions has been recognized for more than 100 years; after all, Fourier analysis has proved to be an important tool not only in mathematics, but in engineering, physics, statistics, and many other fields. When Fourier theories are applied on the whole line (or on a circle), results are very satisfactory. However, in many applications, we are confronted with band-limited functions defined on intervals in 1D or more generally on compact regions in Rⁿ. In such environments, methods that are localized in frequency domain and at the same time handle temporal/spatial information locally are often sought. Such methods are also useful when underlying functions are piecewise smooth, or contain singularities in the corresponding domain.

In this mini-workshop, we present recent development in band-limited functions, Fourier theories, and higher order methods. Applications of PSWFs in image analysis will also be presented.

Speakers