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
Teaching Spring 2012
· Math 516
Office Hours: M 3:10-4:00pm; W 2:10-3:00pm; F 1:10-2:00pm.
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. Affine Frames, GMRA's, and the Canonical Dual, with Marcin Bownik, Studia Mathematica, vol. 159 (2003), no. 3, pp. 453-479.
2. 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.
3. Frame vectors for representations of abelian groups, with W.S. Tang, Applied and Computational Harmonic Analysis, vol. 20 (2006), no. 2, 283-297.
4. The Kadison-Singer Problem and the Uncertainty Principle, Proceedings of the American Mathematical Society, vol. 136 (2008), 4235-4243.
5. On the Beurling Dimension of Exponential Frames, with D. Dutkay, D. Han, and Q. Sun, Adv. Math., vol. 226 (2011), 285-297.
Links to my papers: MathSciNet ArXiv.org
I am organizing the Department of Mathematics Analysis Seminar.