- Series
- Analysis Seminar
- Time
- Wednesday, January 11, 2017 - 1:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Walter Van Assche – Katholieke University Lueven
- Organizer
- Shahaf Nitzan
We show that the multiwavelets, introduced by Alpert in 1993, are
related to type I Legendre-Angelesco multiple orthogonal polynomials. We give explicit formulas for these Legendre-Angelesco polynomials and
for the Alpert multiwavelets. The multiresolution analysis can be done entirely using Legendre polynomials, and we give an algorithm,
using Cholesky factorization, to compute the multiwavelets and a method, using the Jacobi matrix for Legendre polynomials, to compute the
matrices in the scaling relation for any size of the multiplicity of the
multiwavelets.Based on joint work with J.S. Geronimo and P. Iliev