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Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace

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Original languageEnglish
Article number71
JournalAdvances in Applied Clifford Algebras
Issue number4
Publication statusPublished - 1 Sep 2019
Publication typeA1 Journal article-refereed


In this paper, we obtain Cauchy–Kovalevskaya theorems for hypermonogenic superfunctions depending only on purely bosonic and fermionic vector variables. In addition, we use these results to construct plane wave examples of such functions.

ASJC Scopus subject areas


  • Cauchy–Kovalevskaya extension, Clifford analysis, Hypermonogenic functions, Plane waves, Superspace

Publication forum classification

Field of science, Statistics Finland