On small complete sets of functions

Lev Aizenberg; Alekos Vidras

doi:10.4153/CJM-2000-001-4

On small complete sets of functions

Lev Aizenberg, Alekos Vidras

Department of Mathematics

University of Cyprus

Research output: Contribution to journal › Article › peer-review

Abstract

Using Local Residues and the Duality Principle a multidimensional variation of the completeness theorems by T. Carleman and A. F. Leontiev is proven for the space of holomorphic functions defined on a suitable open strip T_α C C². The completeness theorem is a direct consequence of the Cauchy Residue Theorem in a torus. With suitable modifications the same result holds in Cⁿ.

Original language	English
Pages (from-to)	3-30
Number of pages	28
Journal	Canadian Journal of Mathematics
Volume	52
Issue number	1
DOIs	https://doi.org/10.4153/CJM-2000-001-4
State	Published - Feb 2000

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On small complete sets of functions

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