Some inequalities in Fourier analysis and applications

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dc.contributor.advisorVaaler, Jeffrey D.en
dc.creatorKelly, Michael Scotten
dc.date.accessioned2014-06-23T19:05:48Zen
dc.date.accessioned2017-05-11T23:05:30Z
dc.date.available2017-05-11T23:05:30Z
dc.date.issued2014-05en
dc.date.submittedMay 2014en
dc.date.updated2014-06-23T19:05:49Zen
dc.descriptiontexten
dc.description.abstractWe prove several inequalities involving the Fourier transform of functions which are compactly supported. The constraint that the functions have compact support is a simplifying feature which is desirable in applications, but there is a trade-off in control of other relevant quantities-- such as the mass of the function. With applications in mind, we prove inequalities which quantify these types of trade-offs.en
dc.description.catalogingnoteChapter 4 was previously published as Michael Kelly and Thai Hoang Le. Uniform dilations in higher dimensions. Journal of the London Mathematical Society, 88(3): 925-940, 2013. DOI: 10.1112/jlms/jdt054en
dc.description.departmentMathematicsen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/2152/24781en
dc.language.isoenen
dc.subjectFourier analysisen
dc.subjectBand limited functionsen
dc.subjectEntire functions of exponential typeen
dc.subjectBeurling-Selberg extremal problemen
dc.titleSome inequalities in Fourier analysis and applicationsen
dc.typeThesisen

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