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The Extension Problem for Exponentially Convex Functions
A. M. Zabel,Maha A. Bajnaid 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.1
Our main result is to prove that every exponentially convex function dened on an open nonempty connected subset of a connected Lie group G can be extended to an exponentially convex function on all G.
Extensing of Exponentially Convex Function on the Heisenberg Group
Zabel, A.M.,Bajnaid, Maha A. Department of Mathematics 2005 Kyungpook mathematical journal Vol.45 No.4
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].