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Anisotropic Shannon inequality

In this note we prove the anisotropic version of the Shannon inequality. This can be conveniently realised in the setting of Folland and Stein's homogeneous groups. We give two proofs: one giving the best constant, and another one using the Kubo-Ogawa-Suguro inequality.

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Co-authorshipCo-authorshipCo-authorshipAuthorshipAuthorshipAuthorshipTopic signalWAnisotropic Shannon inequalitypreprint / 2023AMarianna ChatzakouResearcherAAidyn KassymovResearcherAMichael RuzhanskyResearcherTmath.AP9009 works
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Anisotropic Shannon inequality

preprint / 2023

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