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Uncertainty principle via variational calculus on modulation spaces.

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dc.contributor.authorDias, N.C.
dc.contributor.authorLuef, Frank
dc.contributor.authorPrata, João .
dc.date.accessioned2025-09-03T09:21:09Z
dc.date.available2025-09-03T09:21:09Z
dc.date.issued2022
dc.description.abstractWe approach uncertainty principles of Cowling-Price-Heis-enberg-type as a variational principle on modulation spaces. In our discussion we are naturally led to compact localization operators with symbols in modulation spaces. The optimal constant in these uncertainty principles is the smallest eigenvalue of the inverse of a compact localization operator. The Euler-Lagrange equations for the associated functional provide equations for the eigenfunctions of the smallest eigenvalue of these compact localization operators. As a by-product of our proofs we derive a generalization to mixed-norm spaces of an inequality for Wigner and Ambiguity functions due do Lieb.eng
dc.identifier.citationDias, N. C., Luef, F., & Prata, J. N. (2022). Uncertainty principle via variational calculus on modulation spaces. Journal of Functional Analysis, 283(8), 109605.
dc.identifier.doi10.1016/j.jfa.2022.109605
dc.identifier.urihttp://hdl.handle.net/10400.26/58503
dc.language.isoeng
dc.peerreviewedyes
dc.publisherElsevier
dc.relation.hasversionhttps://www.sciencedirect.com/science/article/pii/S0022123622002257?via%3Dihub
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.subjectCowling-Price uncertainty principle
dc.subjectVariational problem
dc.subjectOptimal constant
dc.subjectModulation spaces
dc.titleUncertainty principle via variational calculus on modulation spaces.eng
dc.typecontribution to journal
dspace.entity.typePublication
oaire.citation.endPage30
oaire.citation.issue8
oaire.citation.startPage1
oaire.citation.titleJournal of Functional Analysis
oaire.citation.volume238
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85

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