The Cauchy‐Kowalewski Product for Bicomplex Holomorphic Functions

Authors

H. De Bie, University of Ghent
Daniele C. Struppa, Chapman UniversityFollow
Adrian Vajiac, Chapman UniversityFollow
Mihaela Vajiac, Chapman University

Document Type

Article

Publication Date

2012

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.

Comments

This article was originally published in Mathematische Nachrichten, volume 285, in 2012. DOI: 10.1002/mana.201100047

Recommended Citation

De Bie, H., Struppa, D. C., Vajiac, A. and Vajiac, M. B. (2012). The Cauchy-Kowalewski product for bicomplex holomorphic functions. Math. Nachr., 285: 1230–1242. doi: 10.1002/mana.201100047

Peer Reviewed

1

Copyright

Wiley