Scaling of Spectra of Cantor-Type Measures and Some Number Theoretic Considerations

Description

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.

Links & Downloads

1. https://stars.library.ucf.edu/honorstheses/169
2. https://stars.library.ucf.edu/cgi/viewcontent.cgi?article=1177&context=honorstheses

Tags

Cantor set

Fourier basis

prime decomposition

spectral measure

base n decomposition

Mathematics

Number Theory

Additional Fields

Identifer	oai:union.ndltd.org:ucf.edu/oai:stars.library.ucf.edu:honorstheses-1177
Date	01 January 2017
Creators	Kraus, Isabelle
Publisher	STARS
Source Sets	University of Central Florida
Language	English
Detected Language	English
Type	text
Format	application/pdf
Source	Honors Undergraduate Theses