Wavelet Theory and Multiresolution Analysis

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**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