On the ideal structure of the Nevanlinna class
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- by Reiner Martin
- Proc. Amer. Math. Soc. 114 (1992), 135-143
- DOI: https://doi.org/10.1090/S0002-9939-1992-1069291-6
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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.References
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Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 135-143
- MSC: Primary 46J20; Secondary 30H05, 46J15
- DOI: https://doi.org/10.1090/S0002-9939-1992-1069291-6
- MathSciNet review: 1069291