Abstract
Solvability homogeneous Riemann-Hilbert boundary value problem with several points of turbulence
Highlights
We consider the so called Hilbert boundary value problem with infinite index in the unit disk
Rasulov [7] found out that solvability of certain boundary-value problem for generalized analytic functions is immediately connected with solvability of corresponding boundary value problems for analytic functions with finite set of turbulences
We study the customary statement of the Riemann–Hilbert problem in the form
Summary
We consider the so called Hilbert boundary value problem with infinite index in the unit disk. We consider the Riemann–Hilbert boundary value problem for analytic in D functions with the boundary condition a(t) Re Φ(t) − b(t) Im Φ(t) = 0, t ∈ L.
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