Gerlind Plonka
On Stability of Scaling Vectors
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock

MSC:

42A05 Trigonometric polynomials, inequalities, extremal problems

41A30 Approximation by other special function classes

Abstract: The paper generalizes Lawton's criteria for scaling vectors by means
of Kronecker products. Necessary and sufficiant conditions for the
stability (orthonormality) of scaling vectors are provided in terms
of their two-scale symbols. The paper is based on the results on Shen [14].
Keywords: refinable function vectors, L^2-stability