$\mathrm{CR}$-functions and holomorphic almost periodic functions with entire finite basis
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 4, pp. 472-490
A notion of generating function for an almost periodic function with entire finite basis is introduced. It is proved that the set of all generating functions corresponding to a fixed basis coincides with the set of all continuous $\mathrm{CR}$-functions on some Reinhardt $\mathrm{CR}$-manifold $G$ that depends only on the basis. An analitic representation of $\mathrm{CR}$-functions on G is obtained, too.
@article{JMAG_1997_4_4_a4,
author = {L. I. Ronkin},
title = {$\mathrm{CR}$-functions and holomorphic almost periodic functions with entire finite basis},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {472--490},
year = {1997},
volume = {4},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1997_4_4_a4/}
}
TY - JOUR
AU - L. I. Ronkin
TI - $\mathrm{CR}$-functions and holomorphic almost periodic functions with entire finite basis
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1997
SP - 472
EP - 490
VL - 4
IS - 4
UR - http://geodesic.mathdoc.fr/item/JMAG_1997_4_4_a4/
LA - ru
ID - JMAG_1997_4_4_a4
ER -
L. I. Ronkin. $\mathrm{CR}$-functions and holomorphic almost periodic functions with entire finite basis. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 4, pp. 472-490. http://geodesic.mathdoc.fr/item/JMAG_1997_4_4_a4/