English

Discrete-time multi-scale systems

Functional Analysis 2009-10-02 v1

Abstract

We introduce multi-scale filtering by the way of certain double convolution systems. We prove stability theorems for these systems and make connections with function theory in the poly-disc. Finally, we compare the framework developed here with the white noise space framework, within which a similar class of double convolution systems has been defined earlier.

Keywords

Cite

@article{arxiv.0910.0234,
  title  = {Discrete-time multi-scale systems},
  author = {Daniel Alpay and Mamadou Mboup},
  journal= {arXiv preprint arXiv:0910.0234},
  year   = {2009}
}
R2 v1 2026-06-21T13:53:06.351Z