Open AccessCarleman’s Formula for Solutions of the Generalized Cauchy-Riemann System in Multidimensional Spatial Domain
Author(s) -
É. N. Sattorov,
F. É. Érmamatova
Publication year - 2019
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2019-65-1-95-108
Subject(s) - cauchy–riemann equations , mathematics , domain (mathematical analysis) , cauchy distribution , cauchy problem , mathematical analysis , matrix (chemical analysis) , boundary (topology) , boundary value problem , initial value problem , riemann hypothesis , pure mathematics , materials science , composite material
In this paper, we consider the restoration problem for solutions of the generalized Cauchy- Riemann system in a multidimensional spatial domain using their values on a piece of the boundary of the domain, i. e., the Cauchy problem. We construct an approximate solution of this problem based on the Carleman matrix method.