**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*