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Closed Submodules of Holomorphic Functions with Two Generators.

Authors :
B. N. Khabibullin
Source :
Functional Analysis & Its Applications; Jan2004, Vol. 38 Issue 1, p52-64, 13p
Publication Year :
2004

Abstract

Let > be a closed submodule over a polynomial ring in a space of holomorphic functions on a domain in the complex plane. We establish sufficient conditions under which > is generated by two functions or two special submodules. As a corollary, it follows from these results that if an invariant subspace W\subset C^{\infty}(a,b)> (with respect to the differentiation operator) admits spectral synthesis, then it is the solution space of a system of two homogeneous convolution equations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00162663
Volume :
38
Issue :
1
Database :
Complementary Index
Journal :
Functional Analysis & Its Applications
Publication Type :
Academic Journal
Accession number :
22103866