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arXiv · 1501.06190

Universal Factorizations of Quasiperiodic Functions

Michael Robinson
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Abstract

Chirped sinosoids and interferometric phase plots are functions that are not periodic, but are the composition of a smooth function and a periodic function. These functions functions factor into a pair of maps: from their domain to a circle, and from a circle to their codomain. One can easily imagine replacing the circle with other phase spaces to obtain a general quasiperiodic function. This paper shows that under appropriate restrictions, each quasiperiodic function has a unique universal factorization. Quasiperiodic functions can therefore be classified based on their phase space and the phase function mapping into it.

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Michael Robinson. 2015-01-25. Universal Factorizations of Quasiperiodic Functions. https://arxiv.org/abs/1501.06190

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