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

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

2007-01-28

arxiv.org/abs/math/0701805v1

Mathematics

Complex Variables

16 pages

Scientific paper

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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