Abstract
We investigate some relations between number theory and spectral measures related to the harmonic analysis of a Cantor set. Specifically, we explore ways to determine when an odd natural number m generates a complete or incomplete Fourier basis for a Cantor-type measure with scale g.
Thesis Completion
2017
Semester
Spring
Thesis Chair/Advisor
Dutkay, Dorin
Degree
Bachelor of Science (B.S.)
College
College of Sciences
Department
Mathematics
Degree Program
Pure Mathematics
Location
Orlando (Main) Campus
Language
English
Access Status
Open Access
Release Date
May 2017
Recommended Citation
Kraus, Isabelle, "Scaling of Spectra of Cantor-Type Measures and Some Number Theoretic Considerations" (2017). Honors Undergraduate Theses. 169.
https://stars.library.ucf.edu/honorstheses/169