Izvestiya of Saratov University.
ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

скалярная задача Римана для кусочно-аналитических функций

About the Solution of Nondegenerate Four-Element Boundary Value Problem of Karleman Type for Bianalytical Functions in Circle

The article is devoted to the investigation of four-element boundary value problem of Karleman type for sectionally bianalytical functions withdiscontinuityline L = {t : |t| = 1}. Aconstructivemethodfor solution of the problem concerned in a socalled nondegenerate case was found. It is established that solution of the investigated problem consists of solution of two generalized and two usualscalar boundary value problems of Riemann for sectionally analytical functions with discontinuity line L.