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

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

Included in

Number Theory Commons

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