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dc.contributor.authorFerry, Johnen
dc.date.accessioned2014-03-14T21:21:01Zen
dc.date.available2014-03-14T21:21:01Zen
dc.date.issued1991-08-15en
dc.identifier.otheretd-10132005-152532en
dc.identifier.urihttp://hdl.handle.net/10919/39825en
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
dc.format.extentvi, 164en
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.isformatofOCLC# 24707058en
dc.relation.haspartLD5655.V856_1991.F477.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1991.F477en
dc.subject.lcshRational equivalence (Algebraic geometry)en
dc.titleRational and harmonic approximation on F.P.A. setsen
dc.typeDissertationen
dc.contributor.departmentMathematicsen
dc.description.degreePh. D.en
thesis.degree.namePh. D.en
thesis.degree.leveldoctoralen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.disciplineMathematicsen
dc.contributor.committeechairOlin, Robert F.en
dc.contributor.committeememberMcCoy, Robert A.en
dc.contributor.committeememberRossi, John F.en
dc.contributor.committeememberThomson, James E.en
dc.contributor.committeememberWheeler, Robert L.en
dc.type.dcmitypeTexten
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10132005-152532/en
dc.date.sdate2005-10-13en
dc.date.rdate2005-10-13en
dc.date.adate2005-10-13en


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