Friday,
March 2, 12:00 p.m. GWC 487
Guohui Song
School of Mathematical and Statistical Sciences
Sampling with Localized Frames
Abstract
Frames can be seen as a generalization of basis with
overcompleteness. In many applications, frames provide robust and stable
representation of functions due to this overcompleteness. For example,
in signal processing applications, the redundancy of frames is
beneficial if signals are suspected of not capturing certain pieces of
information. A fundamental problem in the frame representation is to
find the inverse frame operator. In practice, however, it is very
difficult or even impossible to find its closed form in an
infinite-dimensional space. We shall study the numerical approximation
of the inverse frame operator.
