Professor Eric Weber 454 Carver Hall Department of Mathematics Office:  515-294-8151 Fax:  515-294-5454 Email:  esweber (@iastate.edu) Education Ph.D., University of Colorado, 1999 B.A., Gustavus Adolphus College, 1995

Research

Dr. Weber's research interests are in the areas of harmonic analysis with applications. In particular, Dr. Weber is focusing on wavelet theory, frame theory, and sampling theory. Currently, he is focusing on using tools from functional analysis to develop a unified view of these three subjects. He is also investigating applications to signal processing such as data compression, digital watermarking, denoising, and secure communications (cryptography).

Selected Publications:

1. On the Translation Invariance of Wavelet Subspaces, Journal of Fourier Analysis and Applications, vol. 6 (2000), no. 5, pp. 551-558.
2. Frames and Single Wavelets for Unitary Groups, Canadian Journal of Mathematics, vol. 54 (2002), no. 3, pp. 634-647.
3. Orthonormal Wavelets and Shift Invariant Generalized Multiresolution Analysis, with Sharon Vestal, Proceedings of the American Mathematical Society 131 (2003) no. 10, 3089-3100.
4. Affine Frames, GMRA's, and the Canonical Dual, with Marcin Bownik, Studia Mathematica, vol. 159 (2003), no. 3, pp. 453-479.
5. The Geometry of Sampling on Unions of Lattices, to appear in Proceedings of the American Mathematical Society.
6. Ellipsoidal Tight Frames and Projection Decomposition of Operators, with K. Dykema, D. Freeman, K. Kornelson, D. Larson, and M. Ordower, to appear in Illinois Journal of Mathematics.

Links to my papers: MathSciNet  ArXiv.org

I am organizing the Department of Mathematics Analysis Seminar.

Teaching Spring 2004

Math 532, Introduction to Functional Analysis, II