Regularity of multiwavelets

  title={Regularity of multiwavelets},
  author={Charles A. Micchelli and Tomas Sauer},
  journal={Adv. Comput. Math.},
The motivation for this paper is an interesting observation made by Plonka concerning the factorization of the matrix symbol associated with the refinement equation for B-splines with equally spaced multiple knots at integers and subsequent developments which relate this factorization to regularity of refinable vector fields over the real line. Our intention is to contribute to this train of ideas which is partially driven by the importance of refinable vector fields in the construction of… CONTINUE READING