Entire functions of exponential type, almost periodic in Besicovitch sense on the real hyperplane

zbMATH Open1199.32009arXiv0804.3302MaRDI QIDQ2390751

S. Yu. Favorov, O. I. Udodova

Publication date: 8 August 2009

Published in: Matematychni Studiï (Search for Journal in Brave)

Abstract: Suppose that an almost periodic in Besicovitch's sense function $f(x)$ of several variables is the restriction to the real hyperplane of an entire function of exponential type $b$. Then its spectrum is contained in the ball of radius $b$ with the center in the origin.

Full work available at URL: https://arxiv.org/abs/0804.3302

zbMATH Keywords

spectrumentire function of exponential typealmost periodic in Besicovitch sense function

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Entire functions of several complex variables (32A15) Harmonic analysis of several complex variables (32A50)

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