On a Class of Right Linearly Differentiable Functions of Cayley-Dickson Variables |
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| Authors: | Sergey V Ludkowski |
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| Institution: | 1. Dep. Appl. Mathematics, Moscow State Technical Univ. MIREA, av. Vernadsky 78, Moscow, 119454, Russia
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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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