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Professor Eric Weber Department of Mathematics Office: 515-294-8151 Fax: 515-294-5454 Email: esweber (@iastate.edu) Education Ph.D.,
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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:
- Frames and Single Wavelets for Unitary Groups, Canadian Journal of
Mathematics, vol. 54 (2002), no. 3, pp. 634-647.
- Affine Frames, GMRA's, and the Canonical Dual, with Marcin Bownik,
Studia Mathematica, vol. 159 (2003), no. 3, pp. 453-479.
- 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.
- Frame vectors for
representations of abelian groups, with W.S. Tang, Applied
and Computational Harmonic Analysis, vol. 20 (2006), no. 2, 283-297.
- 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 Summer 2009
Math 501, Introduction to Real Analysis