Multivariate Wavelet Representations and Approximations
Abstract
The following work has been completed: The recovery of irregularly samples band-limited functions via tempered splines. Band limited functions can be recovered from their values on certain irregularly distributed discrete sampling sets as the limits of the piecewise polynomial spline interpolants when the order of the splines goes to infinity. This significant extension of the classical case when the sampling set is a lattice which was considered by L. Collatz, W. Quade, I. J. Schoenberg, and others. Orthogonality criteria for compactly supported scaling functions. The question of whether the integer translates of the scaling function constructed from a prescribed scaling sequency in the standard way are mutually orthogonal is quite subtle. The various conditions and the supporting arguments which are currently in the literature are very complicated.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 31, 1993
- Accession Number
- ADA269350
Entities
People
- Wolodymyr Madych
Organizations
- University of Connecticut