Almost periodic functions in finite-dimensional space with the spectrum in a cone

Details Almost periodic functions in finite-dimensional space with the spectrum in a cone Almost periodic functions in finite-dimensional space with the spectrum in a cone

2007-01-28

arxiv.org/abs/math/0701820v1

Mat.fiz.,anal.geom.,v.9 (2002), No.3, 465-477

Mathematics

Complex Variables

Scientific paper

An almost periodic function in finite-dimensional space extends to a
holomorphic bounded function in a tube domain with a cone in the base if and
only if the spectrum belongs to the conjugate cone. Also, an almost periodic
function in finite-dimensional space has the bounded spectrum if and only if it
extends to an entire function of exponential type.

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