On Small Complete Sets of Functions
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Published:2000-02-01
Issue:1
Volume:52
Page:3-30
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ISSN:0008-414X
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Container-title:Canadian Journal of Mathematics
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language:en
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Short-container-title:Can. j. math.
Author:
Aizenberg Lev,Vidras Alekos
Abstract
AbstractUsing 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 ⊂ 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.
Publisher
Canadian Mathematical Society
Subject
General Mathematics
Cited by
1 articles.
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