Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1160-1166.

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Zero-sets of Clifford Analytic Functions with Real Coefficients

 YANG Yan1, QIAN Tao2   

  1. 1.School of Mathematics and Computational Science, Sun Yat-Sen University, Gungzhou 510275;
    2.Department of Mathematics, Faculty of Science and Technology, University of |Macau, Macau
  • Received:2009-08-05 Revised:2010-12-01 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    国家自然科学基金青年基金(10901166)、中山大学青年教师基金、澳门大学基金 (cativo: 7560)和澳门FDCT(014/2008/A1)资助

Abstract:

In this note it is proved that the zero set of any Clifford analytic function f with real coefficients is the disjoint union of real isolated zeroes and the spherical conjugate ones. What is more, a technique for computing the zeroes is presented. The authors also find the preimages f-1(A) for any paravector A.

Key words: Clifford algebra, Zero sets

CLC Number: 

  • 30G35
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