Bernd Fischer, Jürgen Prestin
Wavelets based on orthogonal polynomials
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 present a unified approach for the construction of polynomial
wavelets. Our main tool are 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: Wavelets, orthogonal polynomials