Transmission of harmonic functions through quasicircles on compact Riemann surfaces

DOI10.5186/aasfm.2020.4559zbMath1461.30051arXiv1810.02147OpenAlexW3034369427MaRDI QIDQ5118950

Wolfgang Staubach, Eric D. Schippers

Publication date: 27 August 2020

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02147

zbMATH Keywords

harmonic functionsboundary valuesquasicirclesDirichlet spacesRiemann srfaces

Mathematics Subject Classification ID

Harmonic functions on Riemann surfaces (30F15) Quasiconformal mappings in the complex plane (30C62)

Related Items

A survey of scattering theory on Riemann surfaces with applications in global analysis and geometry ⋮ Analysis on quasidisks: a unified approach through transmission and jump problems ⋮ Plemelj-Sokhotski isomorphism for quasicircles in Riemann surfaces and the Schiffer operators ⋮ Faber and Grunsky operators corresponding to bordered Riemann surfaces ⋮ Schiffer operators and calculation of a determinant line in conformal field theory ⋮ Schiffer comparison operators and approximations on Riemann surfaces bordered by quasicircles

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