Author Type

Graduate Student

Date of Award

Fall 12-8-2025

Document Type

Dissertation

Publication Status

Version of Record

Submission Date

December 2025

Department

Mathematical Sciences

College Granting Degree

Charles E. Schmidt College of Science

Department Granting Degree

Mathematics

Degree Name

Doctor of Philosophy (PhD)

Thesis/Dissertation Advisor [Chair]

Yoram Sagher

Abstract

This work is a continuation of Boryshchak, Myers, and Sagher in [10], extending and refining results in the theory of almost periodic functions. New results are accompanied by proofs and unified methods using tools drawn from harmonic analysis, functional analysis, point set topology, the theory of charges (finitely additive measures), and mathematical logic. The central contribution of this work lies not only in its results, but in its exposition, which presents a coherent framework intended to bridge advanced research and graduate-level study, to further developments in related areas.

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