Wavelet Theory and Multiresolution Analysis

Papers:  (Available as .pdf unless otherwise specified)

Tutorial on Wavelets (talk)

Approximating functions in reproducing kernel Hilbert spaces via statistical learning theory (with L. Raphael), in Splines and Wavelets, G. Chen and M.J. Lai, eds, (2006) 270-286

Sup-norm convergence rates of wavelet expansions in Besov Spaces (with L. Raphael), in Applicable Mathematics (2002), 193-203.

Pointwise wavelet convergence in Besov and uniformly local Sobolev Spaces (with L. Raphael), J. Contemporary Math. Analysis 36 (2002), 51-68.

Convergence rates of multiscale and wavelet expansions (with L. Raphael), in Wavelet Transforms and Time-FrequencySignal Analysis, American Mathematical Society CBMS Volume, L.Debnath, Ed. (2001), 37-65.

A characterization of wavelet convergence in Sobolev spaces (with L. Raphael), Applicable Analysis 78 (2001), 271-324.

Pointwise convergence of wavelet expansions (with S. Kelly and L. Raphael), Bull. Amer. Math. Soc. 30 (1994), 87-94

Local convergence of wavelet expansions (with S. Kelly and L. Raphael), J. Functional Anal. 126 (1994), 102-138