Graduation Year

2017

Document Type

Thesis

Degree

M.A.

Degree Name

Master of Arts (M.A.)

Degree Granting Department

Mathematics and Statistics

Major Professor

Catherine A. Bénéteau, Ph.D.

Committee Member

Arthur A. Danielyan, Ph.D.

Committee Member

Evguenii A. Rakhmanov, Ph.D.

Keywords

Analytic Functions, Complex Analysis, Extremal Problems, Hardy Spaces, Numerical Analysis

Abstract

In this thesis, we consider linear extremal problems in the Hp spaces. For many of these extremal problems, a unique solution can be guaranteed. We will examine some of the classical examples of extremal problems in these spaces. With this framework in place we will then consider a particular problem which does not always have a unique solution.

Included in

Mathematics Commons

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