Advisor | Ratcliff, Gail Dawn Loraine | |
Author | Chilcoat, Kenneth | |
Date Accessioned | 2016-05-26T13:26:09Z | |
Date Available | 2016-05-26T13:26:09Z | |
Date Created | 2016-05 | |
Date of Issue | 2016-04-25 | |
xmlui.metadata.dc.date.submitted | May 2016 | |
Identifier (URI) | http://hdl.handle.net/10342/5344 | |
Description | The Spectral Theorem for Self-Adjoint Operators allows one to define what it means to evaluate a function on the operator for a large class of functions defined on the spectrum of the operator. This is done by developing a functional calculus that extends the intuitive notion of evaluating a polynomial on an operator. The Spectral Theorem is fundamentally important to operator theory and has applications in many fields, especially harmonic analysis on locally compact abelian groups. This thesis represents a merging of two traditional treatments of the Spectral Theorem and includes an extended example highlighting an important application in harmonic analysis. | |
Mimetype | application/pdf | |
Language | en | |
Publisher | East Carolina University | |
Subject | Hilbert Space | |
Library of Congress Subject Headings | Spectral theory (Mathematics) | |
Library of Congress Subject Headings | Operator theory | |
Library of Congress Subject Headings | Harmonic analysis | |
Title | The Spectral Theorem for Self-Adjoint Operators | |
Type | Master's Thesis | |
xmlui.metadata.dc.date.updated | 2016-05-25T18:27:04Z | |
Department | Mathematics | |
xmlui.metadata.dc.degree.name | M.A. | |
xmlui.metadata.dc.degree.level | Masters | |
xmlui.metadata.dc.degree.discipline | MA-Mathematics | |
xmlui.metadata.dc.degree.grantor | East Carolina University | |
xmlui.metadata.dc.degree.department | Mathematics | |
xmlui.metadata.dc.access.option | Open Access | |
xmlui.metadata.dc.type.material | text | |