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Abstract In this paper we study the additive splitting associated to the quaternionic Cauchy transform defined by the Cauchy formula of slice hyperholomorphic functions. Moreover, we introduce and study the… Click to show full abstract
Abstract In this paper we study the additive splitting associated to the quaternionic Cauchy transform defined by the Cauchy formula of slice hyperholomorphic functions. Moreover, we introduce and study the analogue of the fundamental solution of the global operator of slice hyperholomorphic functions. We state our results in the quaternionic setting but several results hold for Clifford algebra-valued function with minor changes in the proofs.
Keywords:
slice;
setting related;
hyperholomorphic setting;
slice hyperholomorphic;
cauchy transform;
transform slice
Journal Title: Journal of Geometry and Physics
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Geometry and Physics
Year Published: 2019
Link to full text (if available)
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recommendations!