On the real projections of zeros of almost periodic functions

J. M. Sepulcre; T. Vidal

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arXiv · 1805.02041

On the real projections of zeros of almost periodic functions

J. M. Sepulcre·T. Vidal

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Abstract

This paper deals with the set of the real projections of the zeros of an arbitrary almost periodic function defined in a vertical strip $U$. It provides practical results in order to determine whether a real number belongs to the closure of such a set. Its main result shows that, in the case that the Fourier exponents $\{\lambda_1,\lambda_2,\lambda_3,\ldots\}$ of an almost periodic function are linearly independent over the rational numbers, such a set has no isolated points in $U$.

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BibTeX RIS

J. M. Sepulcre, T. Vidal. 2018-05-05. On the real projections of zeros of almost periodic functions. https://arxiv.org/abs/1805.02041

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