The Cauchy-Kowalewski product for bicomplex holomorphic functions
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...
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Published in | Mathematische Nachrichten Vol. 285; no. 10; pp. 1230 - 1242 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Germany
WILEY-VCH Verlag
01.07.2012
WILEY‐VCH Verlag |
Subjects | |
Online Access | Get full text |
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Summary: | 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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Bibliography: | ArticleID:MANA201100047 istex:CBCCF92496C4B6E7E8014F687218BFEBAC7F2BC5 ark:/67375/WNG-X7D5LHDQ-6 |
ISSN: | 0025-584X 1522-2616 |
DOI: | 10.1002/mana.201100047 |