Harmonic measures and Poisson kernels on Klein surfaces

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rosiu.pdf (170.65 KB)
Date
2017-10-31
Authors
Rosiu, Monica
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Klein surface, Green's function, Harmonic measure, Poisson kernel
Citation
Roşiu, M. (2017). Harmonic measures and Poisson kernels on Klein surfaces. <i>Electronic Journal of Differential Equations, 2017</i>(269), pp. 1-7.
URI
https://hdl.handle.net/10877/16070
Collections
Electronic Journal of Differential Equations