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Closed Submodules of Holomorphic Functions with Two Generators.
- 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