Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 465-477
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S. Favorov; O. Udodova. Almost periodic functions in finite-dimensional space with the spectrum in a cone. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 465-477. http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a14/
@article{JMAG_2002_9_3_a14,
author = {S. Favorov and O. Udodova},
title = {Almost periodic functions in finite-dimensional space with the spectrum in a cone},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {465--477},
year = {2002},
volume = {9},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a14/}
}
TY - JOUR
AU - S. Favorov
AU - O. Udodova
TI - Almost periodic functions in finite-dimensional space with the spectrum in a cone
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2002
SP - 465
EP - 477
VL - 9
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a14/
LA - en
ID - JMAG_2002_9_3_a14
ER -
%0 Journal Article
%A S. Favorov
%A O. Udodova
%T Almost periodic functions in finite-dimensional space with the spectrum in a cone
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2002
%P 465-477
%V 9
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a14/
%G en
%F JMAG_2002_9_3_a14
We prove that 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. We also prove that 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.
