On the convergence properties of basic series representing Clifford valued functions

M. A. Abul-Ez and D. Constales

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-10

Abstract:

It is shown that certain classes of special monogenic functions cannot be represented by the basic series in the whole space. New definitions for the order of basis of special monogenic polynomials are given, together with theorems on the representation of classes of special monogenic functions in certain balls and at a point.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:712160

DOI: 10.1155/S0161171203201083

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