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