ONE BOUNDARY VALUE PROBLEM WITH AN INFINITE INDEXC
Keywords:
Riemann boundary value problem, weighted space, linearly independent solutions, index, solution of inhomogeneous problemAbstract
The Riemann boundary value problem in the weighted space is considered in the unit disc. It is proved, that the homogeneous problem has an infinite number of linearly independent solutions. The general solution of the inhomogeneous problem is determined in an explicit form.