Wavelets based on orthogonal polynomials
Open Access
- 1 October 1997
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 66 (220) , 1593-1618
- https://doi.org/10.1090/s0025-5718-97-00876-4
Abstract
We present a unified approach for the construction of polynomial wavelets. Our main tool is orthogonal polynomials. With the help of their properties we devise schemes for the construction of time localized polynomial bases on bounded and unbounded subsets of the real line. Several examples illustrate the new approach.Keywords
This publication has 8 references indexed in Scilit:
- Polynomial Based Iteration Methods for Symmetric Linear SystemsPublished by Springer Nature ,1996
- Polynomial Wavelets on the IntervalConstructive Approximation, 1996
- On the construction of wavelets on a bounded intervalAdvances in Computational Mathematics, 1995
- Fast algorithms for discrete Chebyshev-Vandermonde transforms and applicationsNumerical Algorithms, 1993
- On trigonometric waveletsConstructive Approximation, 1993
- Banach Algebras for Jacobi Series and Positivity of a KernelAnnals of Mathematics, 1972
- Interpolation and ApproximationMathematics of Computation, 1966
- Orthogonal Polynomials. By G. Szegö. Pp. ix, 401. $6. 1939. American Mathematical Society Colloquium Publications, 23. (American Mathematical Society, New York)The Mathematical Gazette, 1940