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arXiv · 1902.09282

Positive Weight Function and Classification of g-Frames

Anirudha Poria
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Abstract

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

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BibTeXRIS

Anirudha Poria. 2019-02-25. Positive Weight Function and Classification of g-Frames. https://doi.org/10.1080/01630563.2020.1728771

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