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

Published 3 Dec 2019 in math.FA | (1912.01416v1)

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

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