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dc.contributor.supervisor Schippers, Eric (Mathematics) en_US
dc.contributor.author Kim, Hye Seon
dc.date.accessioned 2011-09-28T13:44:40Z
dc.date.available 2011-09-28T13:44:40Z
dc.date.issued 2011-09-28
dc.identifier.uri http://hdl.handle.net/1993/4947
dc.description.abstract Let f be an analytic and one-to-one function on the unit disk such that f(0)=0. Let Q(w)dw^2 be a quadratic differential. Suppose that f maps into the complex plane or the unit disk minus analytic arcs w(t) satisfying Q(w(t))(dw/dt)^2<0. We are interested in the question: if Q is unknown but of a specified form, does f determine the quadratic differential Q uniquely? Our main result is that for functions mapping into the unit disk and quadratic differentials with a pole of order 4 at the origin, the quadratic differential is uniquely determined up to exceptional cases. This question arises in the study of extremal functions for functionals over classes of analytic one-to-one maps. en_US
dc.subject quadratic en_US
dc.subject differentials en_US
dc.subject extremal en_US
dc.subject admissible en_US
dc.title Unique determination of quadratic differentials by their admissible functions en_US
dc.degree.discipline Mathematics en_US
dc.contributor.examiningcommittee Zorboska, Nina (Mathematics) Gericke, Michael (Physics) en_US
dc.degree.level Master of Science (M.Sc.) en_US
dc.description.note October 2011 en_US


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