The Riemann problem and expansion of entire functions of two variables with respect to quasiexponential bases
Matematičeskie zametki, Tome 21 (1977) no. 4, pp. 473-483
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It is shown with the aid of the two-dimensional Borel transform that the expansion of entire functions of two variables of a finite degree with respect to a system of primitive functions or with respect to the system of Ozhegov polynomials is possible only when a certain two-dimensional Riemann problem which is equivalent to the Wiener-Hopf problem for a bidomain of the form $\{|z|>r,\ |\zeta|>\rho\}$ is solvable
@article{MZM_1977_21_4_a3,
author = {G. D. Derevyanchenko and V. A. Kakichev},
title = {The {Riemann} problem and expansion of entire functions of two variables with respect to quasiexponential bases},
journal = {Matemati\v{c}eskie zametki},
pages = {473--483},
publisher = {mathdoc},
volume = {21},
number = {4},
year = {1977},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a3/}
}
TY - JOUR AU - G. D. Derevyanchenko AU - V. A. Kakichev TI - The Riemann problem and expansion of entire functions of two variables with respect to quasiexponential bases JO - Matematičeskie zametki PY - 1977 SP - 473 EP - 483 VL - 21 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a3/ LA - ru ID - MZM_1977_21_4_a3 ER -
%0 Journal Article %A G. D. Derevyanchenko %A V. A. Kakichev %T The Riemann problem and expansion of entire functions of two variables with respect to quasiexponential bases %J Matematičeskie zametki %D 1977 %P 473-483 %V 21 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a3/ %G ru %F MZM_1977_21_4_a3
G. D. Derevyanchenko; V. A. Kakichev. The Riemann problem and expansion of entire functions of two variables with respect to quasiexponential bases. Matematičeskie zametki, Tome 21 (1977) no. 4, pp. 473-483. http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a3/