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

2018/01/11 by Paolo Boggiatto, Boggiatto, Paolo, Evanthia Carypis +3 · 3 citations
Mathematics · Computer Science · Earth and Planetary Sciences · #Mathematical Analysis and Transform Methods #Image and Signal Denoising Methods #Seismic Imaging and Inversion Techniques

paper · pdf · doi:10.48550/arxiv.1801.03839

Abstract

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

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• On accumulated Cohen's class distributions and mixed-state localization\n operators
• On quantum large sieve inequalities and operator recovery from incomplete information
• Mixed-state localization operators: Cohen's class and trace class\n operators

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