Gröbner basis theory and its applications for regular and biregular functions

dc.contributor.advisorBeckner, Williamen
dc.contributor.committeeMemberGamba, Ireneen
dc.creatorRoss, Jenny Lee, 1976-en
dc.date.accessioned2010-12-01T20:22:33Zen
dc.date.available2010-12-01T20:22:33Zen
dc.date.available2010-12-01T20:22:38Zen
dc.date.issued2010-05en
dc.date.submittedMay 2010en
dc.date.updated2010-12-01T20:22:39Zen
dc.descriptiontexten
dc.description.abstractThis paper covers basic theory of Grobner Bases and an algebraic analysis of the linear constant coefficient partial differential operators, specifically the Cauchy-Fueter operator. We will review examples and theory of regular and biregular functions in several quaternionic variables.en
dc.description.departmentMathematicsen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2010-05-1504en
dc.language.isoengen
dc.subjectGröbner basisen
dc.subjectCauchy-Fueteren
dc.subjectBiregularen
dc.subjectQuaternionicen
dc.titleGröbner basis theory and its applications for regular and biregular functionsen
dc.type.genrethesisen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorUniversity of Texas at Austinen
thesis.degree.levelMastersen
thesis.degree.nameMaster of Artsen

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