Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Extensing of Exponentially Convex Function on the Heisenberg Group

  • Zabel, A.M. (Department of Mathematics, Faculty of Science, Al-Azhar University) ;
  • Bajnaid, Maha A. (Department of Mathematics, Girls College of Education in Jeddah)
  • Received : 2003.08.30
  • Published : 2005.12.23
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Abstract

The main purpose of this paper is to extend the exponentially convex functions which are defined and exponentially convex on a cylinderical neighborhood in the Heisenberg group. They are expanded in terms of an integral transform associated to the sub-Laplacian operator. Extension of such functions on abelian Lie group are studied in [15].

Keywords

References

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