On small complete sets of functions
Date
2000ISSN
0008-414XSource
Canadian Journal of MathematicsVolume
52Issue
1Pages
3-30Google Scholar check
Metadata
Show full item recordAbstract
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.