A new approach to interpolating scaling functions
Stephan Dahlke, Karlheinz Gröchenig, Peter Maaß · Applicable Analysis · 1999
We present a new method to construct interpolating refinable functions in higher dimensions. The approach is based on the solutions to specific Lagrange interpolation problems by polynomials and applies to a large class of scaling matrices. The resulting scaling functions automatically satisfy certain Strang-Fix conditions. Several examples are discussed.