T. Kilgore,J. Prestin, K. Selig
Polynomial Wavelets and Wavelet Packet Bases
Preprint series:
Preprints aus dem Fachbereich Mathematik, Universität Rostock
- MSC:
- 41A10 Approximation by polynomials, {For approximation by trigonometric polynomials, See 42A10}
- 33C50 Orthogonal polynomials and functions in several variables
Abstract: We discuss wavelet-oriented ideas to construct bases of
algebraic polynomials. In particular, the splitting in the
frequency domain is extended in order to define wavelet packets.
Keywords: polynomial wavelets, wavelet packets, Chebyshev polynomials, orthogonal bases, generalized Chebyshev shift