Orthonormal wavelets with general integer dilations
University of Zagreb, Department of Mathematics
given at strobl07 (19.06.07 16:20)
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.