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On a Class of Right Linearly Differentiable Functions of Cayley-Dickson Variables

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Abstract

The article is devoted to weak super-differentiations of functions of Cayley-Dickson variables. Also a family of general normed algebras A with involution over infinite fields is taken into account. The non-trivial right A-linear weak super-differentiability of non-linear functions is investigated. Several theorems about their existence and families are proved.

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Authors and Affiliations

  1. Dep. Appl. Mathematics, Moscow State Technical Univ. MIREA, av. Vernadsky 78, Moscow, 119454, Russia

    Sergey V. Ludkowski

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  1. Sergey V. Ludkowski
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Correspondence to Sergey V. Ludkowski.

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Ludkowski, S.V. On a Class of Right Linearly Differentiable Functions of Cayley-Dickson Variables. Adv. Appl. Clifford Algebras 24, 781–803 (2014). https://doi.org/10.1007/s00006-014-0474-0

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  • DOI: https://doi.org/10.1007/s00006-014-0474-0

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