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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the ideal structure of the Nevanlinna class


Author: Reiner Martin
Journal: Proc. Amer. Math. Soc. 114 (1992), 135-143
MSC: Primary 46J20; Secondary 30H05, 46J15
MathSciNet review: 1069291
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Abstract: Let $ N$ denote the Nevanlinna class, i.e. the algebra of holomorphic functions of bounded characteristic in the open unit disc. We study analytic conditions for a finitely generated ideal to be equal to the whole algebra $ N$. Then we characterize the finitely generated prime ideals containing a nontangential interpolating Blaschke product. Further, we give an example of an ideal of $ N$ whose closure in the natural metric on $ N$ is not an ideal.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1069291-6
PII: S 0002-9939(1992)1069291-6
Article copyright: © Copyright 1992 American Mathematical Society