English

Weyl-Heisenberg frames for subspaces of L^2(R)

Functional Analysis 2007-05-23 v1

Abstract

We give sufficient conditions for translates and modulates of a function g in L^2(R) to be a frame for its closed linear span. Even in the case where this family spans all of L^2(R), wou conditions are significantly weaker than the previous known conditions.

Keywords

Cite

@article{arxiv.math/9811146,
  title  = {Weyl-Heisenberg frames for subspaces of L^2(R)},
  author = {Peter G. Casazza and Ole Christensen},
  journal= {arXiv preprint arXiv:math/9811146},
  year   = {2007}
}

Comments

13 pages

R2 v1 2026-07-22T18:01:00.526Z