University of Vermont

College of
Engineering and Mathematical Sciences

Journal of Fourier Analysis and Applications Features Research by Dr. Michael Wilson

Release Date: 09-23-2010

Author: Dawn Marie Densmore
Phone: Array Fax: 802-656-8802


A research paper authored by Michael Wilson, professor in the Department of Mathematics and Statistics, has been published (in print and online) in Birkhäuser's Journal of Fourier Analysis and Applications. The paper, entitled,"How Fast and in what Sense(s) does the Calderón Reproducing Formula Converge?", investigates the convergence properties of an integral formula due to A. P. Calderón. Calderón's formula is the foundation of wavelet theory. Unfortunately, it is often not made clear in what sense his fundamental formula can be said to converge. Dr. Wilson's paper shows that the Calderón reproducing formula does converge in a very natural sense, and it gives quantitative estimates for the rate of convergence.

The Journal of Fourier Analysis and Applications presents papers that treat mathematical analysis and its numerous applications and emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.

To read the full on line article click here.

For more information on this research email Michael Wilson.