On a Riemann boundary value problem for functions of several complex variables which are holomorphic on multicircular domains in \(\mathbb C^n\)
On a Riemann boundary value problem for functions of several complex variables which are holomorphic on multicircular domains in \(\mathbb C^n\)
The article is a continuation of the author's study of qualitative properties of Temlyakov-type integrals with \(n\)-circular domains [see the author, Mat. Anal. Teor. Funkts., Moskva 1973, No. 1, 169--178 (1973)], wherein the author presents a method of linear differential operators with variable coefficients for studying the above-mentioned integrals. In the present article, the author uses the apparatus of Temlyakov-type integrals in order to set up and solve both homogeneous and inhomogeneous problems of linear conjugation in \(\mathbb C^n\).
Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels), Boundary behavior of holomorphic functions of several complex variables, homogeneous and inhomogeneous problems, Singular integrals of functions in several complex variables, Riemann boundary value problem, solvability, Temlyakov-type integral, \(n\)-circular domain
Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels), Boundary behavior of holomorphic functions of several complex variables, homogeneous and inhomogeneous problems, Singular integrals of functions in several complex variables, Riemann boundary value problem, solvability, Temlyakov-type integral, \(n\)-circular domain
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