Supplementary References and Notes--Math 667
Wavelets
- A. Boggess and F. J. Narcowich, Fourier Analysis and
Wavelets, manuscript available on request.
- C.-K. Chui, An introduction to wavelets, Academic Pess,
New York, 1992.
- I. Daubechies, Ten Lectures on Wavelets, Society for
Industrial and Applied Mathematics, Philadelphia, PA, 1992.
- S. Mallat, ``A theory for multi-resolution approximation: the
wavelet approximation,'' IEEE Trans. PAMI 11 (1989),
674-693.
- S. Mallat, A Wavelet Tour of Signal Processing, Academic
Press, San Diego, 1998.
- Y. Meyer, Wavelets & Applications, Society for
Industrial and Applied Mathematics, Philadelphia, PA, 1993.
- R. S. Strichartz, ``How To Make Wavelets,''
Amer. Math. Monthly, 100 (1993), 539-556.
- G. Strang, ``Wavelet transforms vs. Fourier transforms,''
Bull. Amer. Math. 28 (1993), 288-305.
- G. Strang and T. Nguyen, Wavelets and Filter Banks,
Wellesley-Cambridge Press, Cambridge, MA 1996.
-
Fourier Series and Transforms
- J. Arsac, Fourier Transforms and the Theory of
Distributions, Prentice-Hall, Englewood Cliffs, NJ,
1966.
- Harry F. Davis, Fourier Series and Orthogonal
Functions, Dover Publications, Inc., New York, 1989.
- G. Folland, Fourier Analysis and Its Applications,
Wadsworth & Brooks/Cole, Pacific Grove, CA, 1992.
- Y. Katznelson, An Introduction to Harmonic Analysis,
Dover, New York, 1976.
- R. Seeley, An Introduction to Fourier Series and
Integrals, W. A. Benjamin, Inc., New York, 1966.
- M. R. Spiegel, Theory and Problems of Fourier Analysis
with Applications to Boundary Value Problems, Schaum's Outline
Series, McGraw-Hill, New York, 1974.
- G. P. Tolstov, Fourier Series, Dover, New York,
1962.
- Norbert Wiener, The Foureir Integral and Certain of Its
Appications
Approximation Theory
- N. I. Achieser, Theory of Approximation, Dover
Publications, Inc., New York, 1992.
- Philip J. Davis, Interpolation & Approximation, Dover
Publications, Inc., New York, 1975.
- Theodore J. Rivlin, An Introduction to the Approximation of
Functions, Dover Publications, Inc., New York, 1981.
Notes
- Linear
Filters
- The
Discrete Fourier Transform
- Function Spaces
- Error
Analysis for BCR Quadrature Formula
Books on MATLAB
- Duane Hanselman and Bruce Littlefield,
Mastering MATLAB 5: A Comprehensive Tutorial and Reference,
Prentice Hall, Upper Saddle river, NJ, 1998.
- Rudra Pratap, Getting started with MATLAB 5, Oxford
University Press, New York, 1999.
Updated: May 29, 2000