# Orthonormal wavelets with general integer dilations

Damir Bakic
University of Zagreb, Department of Mathematics
CROATIA

given at  strobl07 (19.06.07 16:20)
id:  559
length:  25min
status:  accepted
type:  talk
In this talk we shall discuss a method for constructing orthonormal wavelets in $L^2(\Bbb R^n)$ with dilations induced by expanding integer matrices of arbitrary determinant. In particular, we are interested in scaling sets and, more generally, in orthonormal wavelets that arise from generalized multiresolution analyses with singly generated core spaces. Several examples will be included. The talk is based on the results of a joint research with Edward N. Wilson.