Degree Type

Dissertation

Date of Award

2017

Degree Name

Doctor of Philosophy

Department

Mathematics

Major

Mathematics

First Advisor

Eric S. Weber

Abstract

First, we demonstrate the construction of Fourier bases for fractal approximations via a construction analogous to the Fast Fourier Transformation. Then, we construct several full Fourier bases for the skewed Sierpinski gasket and related fractals.

Copyright Owner

Calvin Francis Hotchkiss

Language

en

File Format

application/pdf

File Size

115 pages

Included in

Mathematics Commons

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