Browsing Mathematics (Faculty of) by Author "Hamilton, Ryan"

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Operator Theoretic Methods in Nevanlinna-Pick Interpolation

Hamilton, Ryan (University of Waterloo, 2009-03-31)

This Master's thesis will develops a modern approach to complex interpolation problems studied by Carath\'{e}odory, Nevanlinna, Pick, and Schur in the early $20^{th}$ century. The fundamental problem to solve is as follows: ...
Pick Interpolation and the Distance Formula

Hamilton, Ryan (University of Waterloo, 2012-05-09)

The classical interpolation theorem for the open complex unit disk, due to Nevanlinna and Pick in the early 20th century, gives an elegant criterion for the solvability of the problem as an eigenvalue problem. In the 1960s, ...