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- W2130758675 abstract "Let Ω be a domain in the quaternionic space . We prove a differential criterion that characterizes Fueter-regular quaternionic functions of class C 1. We find differential operators T and N, with complex coefficients, such that a function f is regular on Ω if and only if (N-jT) f=0 on ∂ Ω (j a basic quaternion) and f is harmonic on Ω . As a consequence, by means of the identification of with , we obtain a non-tangential holomorphicity condition which generalizes a result of Aronov and Kytmanov. We also show how the differential criterion and regularity are related to the -Neumann problem in ." @default.
- W2130758675 created "2016-06-24" @default.
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- W2130758675 date "2007-05-01" @default.
- W2130758675 modified "2023-09-23" @default.
- W2130758675 title "Quaternionic regularity and the -Neumann problem in" @default.
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- W2130758675 doi "https://doi.org/10.1080/17476930601178392" @default.
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