N. Manjavidze

Boundary Value Problems for Analytic and Generalized Analytic Functions on a Cut Plane

abstract:
Boundary value problems with discontinuous coefficients for analytic and generalized analytic functions on a cut plane are considered with a special emphasis on conditions of normal solvability and index formulae.

Mathematics Subject Classification: 30E25, 45E05

Key words and phrases: Riemann-Hilbert problem, linear conjugation problem, cut plane, generalized analytic function, Fredholm index