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dc.contributor.advisorSmathers, James B.
dc.contributor.advisorChui, C. K.
dc.creatorRoberts, George Anderson
dc.descriptionIncludes bibliographical references (leaf 49)en
dc.description.abstractThe problem of uniqueness for entire harmonic functions of exponential type was first studied by R. P. Boas, Jr. in 1972. Boas' result opened an important area of research in the theory of entire harmonic functions. In particular, uniqueness results in higher dimensions were studied by Rao and Zeilberger, and representation results were obtained by Anderson, Ching, and Chui. In this dissertation, we obtain uniqueness and representation results when the determination set is a one-dimensional discrete set. In particular, a fairly general method for deriving the basis functions is given.en
dc.format.extentv, 50 leavesen
dc.rightsThis thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use.en
dc.subject.classification1979 Dissertation R644
dc.subject.lcshHarmonic functionsen
dc.subject.lcshFunctions, Entireen
dc.titleUniqueness and interpolation of entire harmonic functionsen
dc.typeThesisen A&M Universityen of Philosophyen
dc.contributor.committeeMemberRollins, J. H.
dc.contributor.committeeMemberSchapery, R. A.
dc.contributor.committeeMemberSmith, P. W.
dc.format.digitalOriginreformatted digitalen
dc.publisher.digitalTexas A&M University. Libraries

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