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. Frames and Single Wavelets for Unitary Groups, Canadian Journal of Mathematics, vol. 54 (2002), no. 3, pp. 634-647.
2. Affine Frames, GMRA's, and the Canonical Dual, with Marcin Bownik, Studia Mathematica, vol. 159 (2003), no. 3, pp. 453-479.
3. Geometric Aspects of Frame Representations of Abelian Groups, with A. Aldroubi, D. Larson, and W.S. Tang, Transactions of the American Mathematical Society, vol. 356 (2004), no. 12, pp. 4767-4786.
4. Frame vectors for representations of abelian groups, with W.S. Tang, Applied and Computational Harmonic Analysis, vol. 20 (2006), no. 2, 283-297.
5. The Kadison-Singer Problem and the Uncertainty Principle, to appear in Proceedings of the American Mathematical Society, December 2008.

Links to my papers: MathSciNet  ArXiv.org

I am organizing the Department of Mathematics Analysis Seminar.

Teaching Fall 2008

Math 166, Calculus 2

Math 414, Analysis I