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arXiv · 1801.03839

Cohen class of time-frequency representations and operators: boundedness and uncertainty principles

Paolo Boggiatto·Evanthia Carypis·Alessandro Oliaro
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Abstract

This paper presents a proof of an uncertainty principle of Donoho-Stark type involving $\varepsilon$-concentration of localization operators. More general operators associated with time-frequency representations in the Cohen class are then considered. For these operators, which include all usual quantizations, we prove a boundedness result in the $L^p$ functional setting and a form of uncertainty principle analogous to that for localization operators.

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Paolo Boggiatto, Evanthia Carypis, Alessandro Oliaro. 2018-01-11. Cohen class of time-frequency representations and operators: boundedness and uncertainty principles. https://arxiv.org/abs/1801.03839

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