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The Cauchy‐Kowalewski product for bicomplex holomorphic functions

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Listed:
  • H. De Bie
  • D. C. Struppa
  • A. Vajiac
  • M. B. Vajiac

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.

Suggested Citation

  • H. De Bie & D. C. Struppa & A. Vajiac & M. B. Vajiac, 2012. "The Cauchy‐Kowalewski product for bicomplex holomorphic functions," Mathematische Nachrichten, Wiley Blackwell, vol. 285(10), pages 1230-1242, July.
    • Handle: RePEc:bla:mathna:v:285:y:2012:i:10:p:1230-1242
    DOI: 10.1002/mana.201100047
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