Kai Bittner, C. K. Chui, J. Prestin
Multivariate cosine wavelets
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock

MSC:

41A30 Approximation by other special function classes

Abstract: We construct bivariate biorthogonal cosine wavelets on a two-overlapping
rectangular grid with bell functions not neccesary of tensor procuct
type. The biorthogonal system as well as frame and Riesz basis conditions
are given explicitly. OUr methods are based on the properties of
bivariate total folding and unfolding operators.
Keywords: local cosine functions, folding operator