LINKS:

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 2014


 

 

 

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 these theories on fractals. 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. The Kadison-Singer Problem and the Uncertainty Principle, with Pete Casazza, Proceedings of the American Mathematical Society, vol. 136 (2008), no. 12, 4235-4243.

  4. On the Beurling dimension of exponential frames, with D. Dutkay, D. Han, and Q. Sun,  Advances in Mathematics, vol. 226 (2011), no. 1, 285-297.

  5. Continuous and Discrete Fourier Frames for Fractal Measures, with D. Dutkay and D. Han, to appear in Transactions of the American Mathematical Society.

 

Book:  Frames for Undergraduates  with D. Han, K. Kornelson, D. Larson.

Links to my papers: MathSciNet  ArXiv.org

I am organizing the Department of Mathematics Analysis Seminar.

 


 


Teaching Fall 2013

·       Math 166, Calculus II

·       Math 414, Analysis I