zbMATH — the first resource for mathematics

Invariance of the Fredholm radius of an operator in potential theory. (English) Zbl 0657.31004
One of the classical methods of solving the Dirichlet problem in \(R^ n\) is the method of integral equations. Using this method for a non-smooth regions it is useful to know the Fredholm radius of an integral operator playing a role in the method. It is shown in the paper that in the case of a Jordan domain in the plane the Fredholm radius of that operator does not change under the conformal mapping of the boundary.

31A25 Boundary value and inverse problems for harmonic functions in two dimensions
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
Full Text: EuDML