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The Cauchy-Kowalewski product for bicomplex holomorphic functions

✍ Scribed by H. De Bie; D. C. Struppa; A. Vajiac; M. B. Vajiac

Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
188 KB
Volume
285
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we study the Cauchy‐Kowalewski extension of real analytic functions satisfying a system of differential equations connected to bicomplex analysis, and we use this extension to study the product in the space of bicomplex holomorphic functions. We also show how these ideas can be used to define a Fourier transform for bicomplex holomorphic functions.

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