Event Title:

Constrained Approximation

Speaker:

Prof. Wayne Lawton

Affiliation:

National University of Singapore

Abstract/Brief Description:

A classical result of Weierstrass ensures that one whose coordinates are trigonometric functions can uniformly approximation any continuous finite length trajectory in a vector space. We derive an analogous result for trajectories in spheres and apply it to show that a continuous frequency response of a conjugate quadrature filter can be uniformly approximated by the frequency response of a finitely supported conjugate quadrature filter. We also extend this result, so as to preserve specified roots of the frequency response, and derive an approximation result for orthonormal wavelets.  Our methods utilize properties of loop groups, jets, and the Browser topological degree.

Subject Area:

Mathematics

Date:

Monday, June 28, 2004

Time:

4:00pm

Venue:

Lecture Hall I, Mathematics Department, IISC., Bangalore-12

 


Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 29 Mar 2024