Bruce Kessler
Professor
TCCW 105
(270) 745-4449
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Spring 2008 course documents 
Publications
- "A "Sound" Approach to Fourier Transforms: Using Music to Teach Trigonometry", 2007 Bridges Donostia Conference Proceedings, edited by R. Sarhangi and J. Barrallo, Tarquin Publications, (2007), 135-142.
- "Balanced Biorthogonal Scaling Vectors Using Fractal Function Macroelements on [0,1]", Applied and Computational Harmonic Analysis 22 (2007), 286-303.
- "An Orthogonal Scaling Vector Generating a Space of $C^1$ Cubic Splines Using Macroelements", Journal of Concrete
and Applicable Mathematics: Special Issues on Wavelets and Applications, 4(4) (2006), 393-414.
- "Balanced Scaling Vectors Using Linear Combinations of Existing Scaling Vectors", Approximation Theory XI: Gatlinburg 2004, edited by C. K. Chui, M. Neamtu, and L. L. Schumaker, Nashboro Press, Brentwood, TN (2005) 197-208.
- "Orthogonal
Macroelement Scaling Vectors and Wavelets in 1-D", The
Arabian Journal for Science and Engineering: Special Issue on
Fractals and Wavelets, 28:1C (2003) 73-88 (with D.
P. Hardin).
- "Constructions of Orthogonal and Biorthogonal Scaling
Functions and Multiwavelets Using Fractal Interpolation Surfaces",
Advances in Imaging and Electron Physics, Vol. 124, edited
by P. W. Hawkes, Academic Press (2002), 195-251.
- "A Short-support Dual Mask to the Piecewise Linears
on a Uniform Triangulation", Approximation Theory X:
Wavelets, Splines, and Applications, C. K. Chui, L. L. Schumaker,
& J. Stockler, editors, Vanderbilt University Press (2002),
323-332.
- "A Construction of Compactly-Supported Biorthogonal
Scaling Vectors and Multiwavelets on R^2", J. Approx.
Theory 117(2) (August 2002), 229-254.
- "A Construction of Orthogonal Compactly-Supported Multiwavelets
on R^2", Applied and Computational Harmonic Analysis
9 (2000), 146-165.
- "A construction of two-dimensional multiwavelets on
a triangulation", Wavelet Application in Signal and Image
Processing IV, M. A. Unser, A. Aldroubi, & A. F. Laine,
editors, Denver: SPIE - Int. Soc. Opt. Eng (1996), 98-108 (with
G. C. Donovan, J. S. Geronimo, and D. P. Hardin).
- "Multiresolution analyses and fractal functions",
J. Approx. Theory 71 (1992), 104-120 (with D. P.
Hardin and P. Massopust).
Scaling Function and Wavelet Coefficients - referenced
in the Advances chapter above.
WKU Department
of Mathematics
Math Matters: Why Do I Need To Know This?
WKU Eisenhower
Grant Web Page
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