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- W2080682775 abstract "In the present paper we generalize the concept of holomorphic differential form by calling a Clifford algebra valued n-form (.) regular iff there are functions f.g which are left respectively right regular such that . These are the differential forms which occur in many generalizations of classical theorems to Clifford analysis. as e.g. Cauchy's theorem . More as theorem etc. {compare [4]). Nonetheless. this type of n-form has apparently not yet been investigated in its own right. We consider the question. under which transformations T of variables regular n-forms transform into regular n-forms, and essentially find this true iff T is a Mobius transformation. These may be described conveniently in terms of Clifford algebra (see [l]-[3]). We decompose Mobius transformations into reflections in hyperplanes or spheres, in a way which gives some geometric insight into the action of a Mobius transformation on . Furthermore we define the residue of a regular n-form in a point singularity. and give a residue the..." @default.
- W2080682775 created "2016-06-24" @default.
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- W2080682775 date "1989-02-01" @default.
- W2080682775 modified "2023-09-26" @default.
- W2080682775 title "Regular n-forms in clifford analysis their behavior under change of variables and their residues" @default.
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- W2080682775 doi "https://doi.org/10.1080/17476938908814321" @default.
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