English

Multi-Resolution Analysis in Arbitrary Hilbert Spaces

funct-an 2008-02-03 v1 Functional Analysis

Abstract

We discuss the possibility of introducing a multi-resolution in a Hilbert space which is not necessarily a space of functions. We investigate which of the classical properties can be translated to this more general framework and the way in which this can be done. We comment on the procedure proposed by means of many examples.

Keywords

Cite

@article{arxiv.funct-an/9701013,
  title  = {Multi-Resolution Analysis in Arbitrary Hilbert Spaces},
  author = {Fabio Bagarello},
  journal= {arXiv preprint arXiv:funct-an/9701013},
  year   = {2008}
}

Comments

LaTeX v2.09. sent to J. Math. Phys