On small complete sets of functions

Lev Aizenberg, Alekos Vidras

Research output: Contribution to journalArticlepeer-review


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 Tα 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 languageEnglish
Pages (from-to)3-30
Number of pages28
JournalCanadian Journal of Mathematics
Issue number1
StatePublished - Feb 2000


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