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.
Bachelor of Science (B.S.)
College of Sciences
Orlando (Main) Campus
Kraus, Isabelle, "Scaling of Spectra of Cantor-Type Measures and Some Number Theoretic Considerations" (2017). Honors Undergraduate Theses. 169.