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- W3011014631 abstract "We prove some extension theorems for quaternionic holomorphic functions in the sense of Fueter. Starting from the existence theorem for the nonhomogeneous Cauchy–Riemann–Fueter problem, we prove that an $${mathbb {H}}$$ -valued function f on a smooth hypersurface in $${mathbb {H}}^2$$ , satisfying suitable tangential conditions, is locally a jump of two $${mathbb {H}}$$ -holomorphic functions. From this, we obtain, in particular, the existence of the solution for the Dirichlet problem with smooth data. We extend these results to the continuous case. In the final part, we discuss the octonion case." @default.
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- W3011014631 date "2020-03-16" @default.
- W3011014631 modified "2023-10-04" @default.
- W3011014631 title "Extension and tangential CRF conditions in quaternionic analysis" @default.
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- W3011014631 doi "https://doi.org/10.1007/s10231-020-00968-5" @default.
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