Solution of boundary-value problems in the theory of analytic functions of several variables in Vladimirov algebras
Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 51-60
Cet article a éte moissonné depuis la source Math-Net.Ru
A solution is given for the Riemann problem for tubular domains in Vladimirov algebras in closed form by means of an integral representation of Bochner–Vladimirov type which is constructed here. In particular, the Schwartz problem is solved. The statement of the Hilbert problem in Vladimirov algebras is examined and its solution is given by a reduction to the Riemann problem, and in one case by a reduction to the Schwartz problem.
@article{MZM_1977_22_1_a5,
author = {V. A. Kakichev and V. M. Shelkovich},
title = {Solution of boundary-value problems in the theory of analytic functions of several variables in {Vladimirov} algebras},
journal = {Matemati\v{c}eskie zametki},
pages = {51--60},
year = {1977},
volume = {22},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a5/}
}
TY - JOUR AU - V. A. Kakichev AU - V. M. Shelkovich TI - Solution of boundary-value problems in the theory of analytic functions of several variables in Vladimirov algebras JO - Matematičeskie zametki PY - 1977 SP - 51 EP - 60 VL - 22 IS - 1 UR - http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a5/ LA - ru ID - MZM_1977_22_1_a5 ER -
%0 Journal Article %A V. A. Kakichev %A V. M. Shelkovich %T Solution of boundary-value problems in the theory of analytic functions of several variables in Vladimirov algebras %J Matematičeskie zametki %D 1977 %P 51-60 %V 22 %N 1 %U http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a5/ %G ru %F MZM_1977_22_1_a5
V. A. Kakichev; V. M. Shelkovich. Solution of boundary-value problems in the theory of analytic functions of several variables in Vladimirov algebras. Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 51-60. http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a5/