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arXiv · 1912.01416

A remark on dilation-and-modulation frames for $L^2(\mathbb{R}_+)$

Jakob Lemvig
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Abstract

We show that every rationally sampled dilation-and-modulation system is unitarily equivalent with a multi-window Gabor system. As a consequence, frame theoretical results from Gabor analysis can be directly transferred to dilation-and-modulation systems.

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Jakob Lemvig. 2019-12-03. A remark on dilation-and-modulation frames for $L^2(\mathbb{R}_+)$. https://doi.org/10.1007/s00025-020-01237-w

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