English

Positive Weight Function and Classification of g-Frames

Functional Analysis 2020-04-09 v3

Abstract

Given a positive weight function and an isometry map on a Hilbert spaces H\mathcal{H}, we study a class of linear maps which is a gg-frame, gg-Riesz basis and a gg-orthonormal basis for H\mathcal{H} with respect to C\mathbb{C} in terms of the weight function. We apply our results to study the frame for shift-invariant subspaces on the Heisenberg group.

Keywords

Cite

@article{arxiv.1902.09282,
  title  = {Positive Weight Function and Classification of g-Frames},
  author = {Anirudha Poria},
  journal= {arXiv preprint arXiv:1902.09282},
  year   = {2020}
}
R2 v1 2026-06-23T07:49:58.795Z