Harmonic measures and Poisson kernels on Klein surfaces
Texas State University, Department of Mathematics
We introduce harmonic measure on a Klein surface and obtain a formula for the solution of the Dirichlet problem on a Klein surface, which is an analogue for the Poisson integral. We rewrite the Radon-Nikodym derivative of harmonic measure against the corresponding arc length.
Klein surface, Green's function, Harmonic measure, Poisson kernel
Roşiu, M. (2017). Harmonic measures and Poisson kernels on Klein surfaces. <i>Electronic Journal of Differential Equations, 2017</i>(269), pp. 1-7.