A BOUNDARY VALUE PROBLEM WITH AN INFINITE INDEX IN THE HALF-PLANE
Keywords:
Riemann problem, weight space, mean convergence, linearly independent solutions of the homogeneous problemAbstract
The Riemann boundary value problem in the weight space is considered in the upper half-plane in the mean convergence sense. It is supposed that the weight function has countable number of zeroes. Under some conditions of distribution of the weight function zeroes, the normal solvability of the problem in the spaces is proved. For it is proved that the homogeneous problem has an infinite number of linearly independent solutions.
