Useful references:
-
A First Course in Wavelets with Fourier Analysis, by Albert Boggess and
Francis J. Narcowich, Prentice-Hall, 2001
-
Wavelets and Filter Banks, Gilbert Strang and Truong Nguyen, ISBN 0-9614088-7-1,
Wellesley-Cambridge Press, 1996
-
A First Course in Fourier Analysis, by D. W. Kammler, Prentice-Hall, 2000.
-
Introduction to Wavelets and Wavelet Transforms. A Primer, by C. Sidney
Burrus, Ramesh A. Gopinath and Haitao Guo, Prentice-Hall, 1998.
-
A First Course on Wavelets, by Eugenio Hernandez and Guido Weiss, CRC Press,
Inc., 1996. (Advanced.)
-
Ten Lectures on Wavelets, by Ingrid Daubechies, Capital City Press, 1992.
(Excellent, advanced.)
-
An Introduction to Wavelets, by Charles K. Chui, Academic Press,
1992.
-
A survey article in the Bulletin of the Belgian Math Society: "Learning
to swim in a sea of wavelets," by Adhemar Bultheel, Bull. Belg. Math. Soc.
2 (1995) 1-44.
-
Wavelets : Algorithms and applications by Yves Meyer, translated and revised
by Robert D. Ryan Soc. for Industrial and Applied Math., 1993.
-
The world according to wavelets, by Barbara Burke Hubbard, A K Peters 1996.
(Introductory.)
-
Methods of Applied Fourier Analysis, by Jayakumar Ramanathan, Birkhauser,
1998.
-
Real and Complex Analysis, by Walter Rudin, McGraw-Hill Inc., 1974.
-
Real Analysis with Real Applications, by Kenneth R. Davidson and Allan
P. Donsig, Prentice Hall, 2002
-
Functional Analysis, by Walter Rudin, McGraw-Hill Inc., 1973.
-
Essential Results of Functional Analysis, by Robert J. Zimmer, University
of Chicago Press, 1990.
-
Wavelets and other orthogonal Systems, by Gilbert G. Walter and Xiaoping
Shen, Chapman and Hall, 2nd ed., 2001
-
Mathematical Methods, Volume 1 (Linear Algebra, Normed Spaces, Distributions,
Integration), by Jacob Korevaar, Academic Press 1968.
-
Topics in Harmonic Analysis with Applications to Radar and Sonar, by Willard
Miller, in RADAR and SONAR, Part I, by R. Blahut, W. Miller and C. Wilcox,
IMA Volumes in Mathematics and its Applications, Springer-Verlag,
New York, 1991. (Relates wavelets and the ambiguity functions of
Radar and Sonar to group theory.)
PDF file of manuscript. (You will need Adobe Acrobat to read this.):
PDF file
Postscript file of manuscript. (You will need a reader such as Ghostview
to see this.): Postscript
file
-
Slides from IMA short course: "Wavelet Methods in Seismology" by Felix
Herrmann PDF
file