The quaternionic Cullen-regular product for a larger class of functions

Details The quaternionic Cullen-regular product for a larger class of functions The quaternionic Cullen-regular product for a larger class of functions

2008-07-07

arxiv.org/abs/0807.0654v2

Mathematics

Complex Variables

Some typos corrected. Theorem 3 has been rewritten

Scientific paper

We introduce the regular product for Cullen-regular quaternionic functions in a manner that does not depend upon a representation in power series but upon another, weaker kind of representation. The special case when the functions are represented as quaternionic power series is studied. We show that the regular ring of quaternionic power series is a subring of the regular associative ring of real-analytical Hyperholomorphic functions.

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