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dc.contributor.authorFerry, Johnen_US
dc.date.accessioned2014-03-14T21:21:01Z
dc.date.available2014-03-14T21:21:01Z
dc.date.issued1991-08-15en_US
dc.identifier.otheretd-10132005-152532en_US
dc.identifier.urihttp://hdl.handle.net/10919/39825
dc.description.abstractLet K be a compact subset of complex N-dimensional space, where N ≥ 1. Let H(K) denote the functions analytic in a neighborhood of K. Let R(K) denote the closure of H(K) in C(K). We study the problem: What is R(K)? The study of R(K) is contained in the field of rational approximation. In a set of lecture notes, T. Gamelin [6] has shown a certain operator to be essential to the study of rational approximation. We study properties of this operator. Now let K be a compact subset of real N-dimensional space, where N ≥ 2. Let harmK denote those functions harmonic in a neighborhood of K. Let h(K) denote the closure of harmK in C(K). We also study the problem: What is h(K)? The study of h(K) is contained in the field of harmonic approximation. As well as obtaining harmonic analogues to our results in rational approximation, we also produce a harmonic analogue to the operator studied in Gamelin's notes.en_US
dc.format.mediumBTDen_US
dc.publisherVirginia Techen_US
dc.relation.haspartLD5655.V856_1991.F477.pdfen_US
dc.subjectRational equivalence (Algebraic geometry)en_US
dc.subject.lccLD5655.V856 1991.F477en_US
dc.titleRational and harmonic approximation on F.P.A. setsen_US
dc.typeDissertationen_US
dc.contributor.departmentMathematicsen_US
dc.description.degreePh. D.en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineMathematicsen_US
dc.contributor.committeechairOlin, Robert F.en_US
dc.contributor.committeememberMcCoy, Robert A.en_US
dc.contributor.committeememberRossi, John F.en_US
dc.contributor.committeememberThomson, James E.en_US
dc.contributor.committeememberWheeler, Robert L.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10132005-152532/en_US
dc.date.sdate2005-10-13en_US
dc.date.rdate2005-10-13
dc.date.adate2005-10-13en_US


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