PDE-MP-HA seminar, 2nd May 2008, 1:50pm, Bloc627

Speaker: David R. Larson, Texas A&M
Title: Geometric and topological properties of the set of wavelet frames


Abstract:

We consider some topological and geometric problems for
wavelet frames.  Several years ago this
speaker posed a problem concerning density of the set of wavelet
frames.  Marcin Bownik recently solved this problem.  We examine his
result from the point of view of orthogonality of frames and certain
operators we call Bessel multiplier operators.  We obtain some new
results using this approach, including a new proof of Bownik's
result.