2024
DOI: 10.1007/s10231-024-01500-9
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Mutual estimates of time-frequency representations and uncertainty principles

Angela A. Albanese,
Claudio Mele,
Alessandro Oliaro

Abstract: In this paper we give different estimates between Lebesgue norms of quadratic time-frequency representations. We show that, in some cases, it is not possible to have such bounds in classical $$L^p$$ L p spaces, but the Lebesgue norm needs to be suitably weighted. This leads to consider weights of polynomial type, and, more generally, of ultradifferentiable type, and this, in turn, gives rise to use as functional setting the ul… Show more

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