Compactly Supported, Orthogonal, Continuous Piecewise Polynomial Multiresolution Analysis
Abstract
Abstract We present explicit representations in terms of hypergeometric functions for the scaling functions in the $$C^0$$ C 0 orthogonal multiresolution analyses associated with piecewise continuous polynomials. Closed formulas for the Mellin transform of these functions as well as their Fourier transforms are derived. Some new multiresolution analyses whose scaling functions have coefficients that are rational numbers are introduced and discussed.
Fields of Study & Subjects
Spectroscopy and Chemometric Analyses
Publication details
- Journal / source
- Constructive Approximation
- Publisher
- Springer Science and Business Media LLC
- Publication date
- 7 July 2026
- Language
- EN