English

Oversampling generates super-wavelets

Functional Analysis 2007-10-25 v2

Abstract

We show that the second oversampling theorem for affine systems generates super-wavelets. These are frames generated by an affine structure on the space L2(\br)...L2(\br)L^2(\br)\oplus...\oplus L^2(\br).

Cite

@article{arxiv.math/0511399,
  title  = {Oversampling generates super-wavelets},
  author = {Dorin Ervin Dutkay and Palle E. T. Jorgensen},
  journal= {arXiv preprint arXiv:math/0511399},
  year   = {2007}
}

Comments

9 pages, AMS-LaTeX. v2: The introduction has been expanded and a number of revisions have been made. Revised for Proceedings of the American Mathematical Society