A multidimensional version of Levin's Secular Constant Theorem and its applications

S. Favorov; N. Girya

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A multidimensional version of Levin's Secular Constant Theorem and its applications

S. Favorov·N. Girya

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Abstract

We study holomorphic almost periodic functions on a tube domain with the spectrum in a cone. We extend to this case Levin's theorem on a connection between the Jessen function, secular constant, and the Phragmen-Lindelof indicator. Then we obtain a multidimensional version of Picard's theorem on exceptional values for our class.

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S. Favorov, N. Girya. 2007-01-28. A multidimensional version of Levin's Secular Constant Theorem and its applications. https://arxiv.org/abs/math/0701805

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