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- W4220822120 abstract "Abstract This paper addresses particular eigenvalue problems within the context of two quaternionic function theories. More precisely, we study two concrete classes of quaternionic eigenvalue problems, the first one for the slice derivative operator in the class of quaternionic slice-regular functions and the second one for the Cauchy–Riemann–Fueter operator in the class of axially monogenic functions. The two problems are related to each other by the four-dimensional Laplace operator and Fueter’s Theorem. As an application of a particular case of second order eigenvalue problems, we obtain a representation of axially monogenic solutions for time-harmonic Helmholtz and stationary Klein–Gordon equations." @default.
- W4220822120 created "2022-04-03" @default.
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- W4220822120 date "2022-03-31" @default.
- W4220822120 modified "2023-10-17" @default.
- W4220822120 title "Eigenvalue problems for slice functions" @default.
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- W4220822120 doi "https://doi.org/10.1007/s10231-022-01208-8" @default.
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