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


  • 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.

published proceedings

  • Communications in Mathematical Physics

altmetric score

  • 3

author list (cited authors)

  • Battle, G.

citation count

  • 293

complete list of authors

  • Battle, Guy

publication date

  • January 1987