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arXiv · 1808.08445

Semi-continuous g-frames in Hilbert spaces

Anirudha Poria
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Abstract

In this paper, we introduce the concept of semi-continuous $g$-frames in Hilbert spaces. We first construct an example of semi-continuous $g$-frames using the Fourier transform of the Heisenberg group and study the structure of such frames. Then, as an application we provide some fundamental identities and inequalities for semi-continuous $g$-frames. Finally, we present a classical perturbation result and prove that semi-continuous $g$-frames are stable under small perturbations.

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Anirudha Poria. 2018-08-25. Semi-continuous g-frames in Hilbert spaces. https://doi.org/10.31392/mfat-npu26_3.2020.06

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