Our main concern in this paper is the design of simplified filtering procedures for the quasi-optimal approximation of functions in subspaces of L 2 generated from the translates of a function ฯ(x). Examples of signal representations that fall into this framework are Schoenberg's polynomial splines
โฆ LIBER โฆ
Quasi-orthogonality and differential equations
โ Scribed by A. Ronveaux
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 338 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0377-0427
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In 1929, S. Bochner identified the families of polynomials which are eigenfunctions of a second-order linear differential operator. What is the appropriate generalization of this result to bivariate polynomials? One approach, due to Krall and Sheffer in 1967 and pursued by others, is to determine wh