Singular Integral Operators, Littlewood-Paley Theory, and Wavelet Approximation

Math 758S, Spring 2000
MWF   9:05 - 9:55 a.m., LeConte 316

Professor Robert Sharpley
Department of Mathematics
University of South Carolina

Course Topics
    This course is a continuation of Math 758L focusing on multiresolution representations, Jackson and Bernstein inequalities, and nonlinear wavelet approximations. In particular, characterization of classical Besov spaces in terms of moduli of continuity, approximation spaces, and their wavelet representations will be presented. Background topics of approximation theory, Fourier analysis and functional analysis will be presented as needed.

    Real Analysis (Math 703-704) and Fourier Analysis in Rd (e.g. Math 758L)

    Link to Weekly Outline

Basic References: (In their order of appearance)

General Background:

Additional Reading:

For further information, please contact
Last modified: 02 May 2000