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Hyperholomorphic functions on commutative algebras

复变函数 2007-05-23 v1 交换代数

摘要

In this paper we study properties of hyperholomorphic functions on commutative finite algebras. It is investigated the Cauchy-Riemann type conditions for hyperholomorphic functions. We prove that a hyperholomorphic function on a commutative finite algebra can be expanded in a Taylor series. We also present a technique for computing zeros of polynomials in some commutative algebras.

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引用

@article{arxiv.math/0611467,
  title  = {Hyperholomorphic functions on commutative algebras},
  author = {Anatoliy A. Pogorui},
  journal= {arXiv preprint arXiv:math/0611467},
  year   = {2007}
}

备注

5 pages