Almost periodic divisors, holomorphic functions, and holomorphic mappings

S. Favorov

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arXiv · math/0701819

Almost periodic divisors, holomorphic functions, and holomorphic mappings

S. Favorov

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Abstract

We prove that to each almost periodic (in the sense of distributions) divisor in a tube one can assign a first Chern class of a special line bundle over Bohr's compact set generated by the divisor such that the trivial cohomology class represents divisors of all almost periodic holomorphic functions on a tube. This description yields various geometric conditions for an almost periodic divisor to be the divisor of a holomorphic almost periodic function. We also give a complete description for the divisors of homogeneous coordinates for holomorphic almost periodic curves; in particular, we obtain a description for the divisors of meromorphic almost periodic functions.

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BibTeX RIS

S. Favorov. 2007-01-28. Almost periodic divisors, holomorphic functions, and holomorphic mappings. https://arxiv.org/abs/math/0701819

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