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The Bochner Integral and an Application to Singular Integrals

dc.contributor.authorPotter, Harry Thompson (Tom)
dc.contributor.copyright-releaseNot Applicableen_US
dc.contributor.degreeMaster of Scienceen_US
dc.contributor.departmentDepartment of Mathematics & Statistics - Math Divisionen_US
dc.contributor.ethics-approvalNot Applicableen_US
dc.contributor.external-examinern/aen_US
dc.contributor.graduate-coordinatorDr. Sara Faridien_US
dc.contributor.manuscriptsNot Applicableen_US
dc.contributor.thesis-readerDr. Karl Dilcheren_US
dc.contributor.thesis-readerDr. Richard Wooden_US
dc.contributor.thesis-supervisorDr. Keith Tayloren_US
dc.date.accessioned2014-04-01T16:34:15Z
dc.date.available2014-04-01T16:34:15Z
dc.date.defence2014-02-25
dc.date.issued2014-04-01
dc.description.abstractIn this expository thesis we describe the Bochner integral for functions taking values in a separable Banach space, and we describe how a number of standard definitions and results in real analysis can be extended for these functions, with an emphasis on Hilbert-space-valued functions. We then present a partial vector-valued version of a classical theorem on singular integrals.en_US
dc.identifier.urihttp://hdl.handle.net/10222/48588
dc.language.isoenen_US
dc.subjectBocher Integralen_US
dc.subjectSingular Integralsen_US
dc.subjectMeasure and Integration theoryen_US
dc.subjectVector-valued analysisen_US
dc.titleThe Bochner Integral and an Application to Singular Integralsen_US
dc.typeThesisen_US

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