A block spin construction of ondelettes. Part I: Lemarié functions Academic Article uri icon

abstract

  • Using block spin assignments, we construct an L2-orthonormal basis consisting of dyadic scalings and translates of just a finite number of functions. These functions have exponential localization, and for even values of a construction parameter M one can make them class CM-1 with vanishing moments up to order M inclusive. Such a basis has an important application to phase cell cluster expansions in quantum field theory. © 1987 Springer-Verlag.

altmetric score

  • 3

author list (cited authors)

  • Battle, G.

citation count

  • 281

publication date

  • December 1987