Replicative Functions
Year: 2026
Type: dissertation
Abstract: Functions are considered which satisfy the set of equations [see PDF abstract for equation] for given sequences {an}, {bn}.· In the first part of the dissertation f is assumed to be a continuous function from the real line to the complex plane; the cases where f is periodic and aperiodic are considered separately. All possible aperiodic functions are determined; for f periodic the Fourier series is determined. Some miscellaneous results are also given. In the second part f is considered to be a function from the complex plane to itself which is holomorphic except at isolated points. Again the cases where f is periodic and aperiodic are considered separately, and all possible fare determined for both cases.
Source: Caltech Library
DOI: 10.7907/zdd8-gq82
Author: Yoder, Michael Franz
Institution: California Institute of Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7127134874
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