Degree Type

Dissertation

Date of Award

2016

Degree Name

Doctor of Philosophy

Department

Mathematics

Major

Mathematics

First Advisor

Eric S. Weber

Abstract

Using the Kaczmarz algorithm, we obtain a Fourier series formulation for functions in the L2 space of singular measures on the unit circle. This formula is applied to the problem of finding reproducing kernel Hilbert spaces inside the classical Hardy space, where the norm is instead that of boundary integration with respect to a singular measure. We also give some conditions ensuring that these subspaces bear some essential semblances to the classical Hardy space.

Copyright Owner

John Edward Herr

Language

en

File Format

application/pdf

File Size

116 pages

Included in

Mathematics Commons

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