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• W3147611721 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.
• W3147611721 created "2021-04-13" @default.
• W3147611721 creator A5033462380 @default.
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• W3147611721 date "2021-03-27" @default.
• W3147611721 modified "2023-09-27" @default.
• W3147611721 title "Eigenvalue problems for slice functions" @default.
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• W3147611721 hasPublicationYear "2021" @default.
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