NORM RETRIEVAL FROM SPATIOTEMPORAL SAMPLES

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dc.contributor.advisorKornelson, Keri
dc.contributor.authorBozkurt, Fatma
dc.contributor.committeeMemberRemling, Christian
dc.contributor.committeeMemberPetrov, Nikola
dc.contributor.committeeMemberAlbert, John
dc.contributor.committeeMemberRunolfsson, Thordur
dc.date.accessioned2018-12-10T14:02:13Z
dc.date.available2018-12-10T14:02:13Z
dc.date.issued2018-12
dc.date.manuscript2018-12
dc.description.abstractThe goal of this dissertation is to investigate norm retrievable frames having dynamical sampling structure, particularly those that fail the phase retrieval con- dition. We give several classifications to show how to construct norm retrievable frames dynamically, depending on the properties of the time-evolution operator. We show that norm retrievable frames generated by a single vector from a self- adjoint operator are most of the time phase retrievable frames. However, when we allow more generating vectors, there exist norm retrieval frames that do not do phase retrieval. We used two different subspace approaches to obtain these structures in real Hilbert spaces.en_US
dc.identifier.urihttps://hdl.handle.net/11244/316291
dc.languageenen_US
dc.subjectmathematicsen_US
dc.subjectnorm retrievalen_US
dc.subjectphase retrievalen_US
dc.subjectdynamical samplingen_US
dc.thesis.degreePh.D.en_US
dc.titleNORM RETRIEVAL FROM SPATIOTEMPORAL SAMPLESen_US
ou.groupCollege of Arts and Sciences::Department of Mathematicsen_US
shareok.nativefileaccessrestricteden_US

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