A univariate compactly supported refinable function OE can always be factored into B k f , with B k the B-spline of order k, f a compactly supported distribution, and k the approximation orders provid...
. The paper generalizes Lawton's criteria for scaling vectors by means of Kronecker products. Necessary and sufficient conditions for the stability (orthonormality) of scaling vectors are provided in ...
. A generalized multiresolution of multiplicity r, generated by r linearly independent spline functions with multiple knots, is introduced. With the help of the autocorrelation symbol and the two--sca...
Abstract. The paper studies necessary and su cient orthonormality conditions for a scaling vector in terms of its two-scale symbol and its corresponding transfer operator. In particular, it is shown t...
. A generalized multiresolution of multiplicity r, generated by r linearly independent spline functions with multiple knots, is introduced. With the help of the autocorrelation symbol and the two--sca...
. A generalized multiresolution of multiplicity r, generated by r linearly independent spline functions with multiple knots, is introduced. With the help of the autocorrelation symbol and the two--sca...