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Paper ‘On the ideal structure of the Nevanlinna class’

I have published the content of my master thesis (done at Universität Karlsruhe in Germany) as:

Reiner Martin, On the ideal structure of the Nevanlinna class. Proceedings of the American Mathematical Society 114, No. 1, 135-143 (1992). PDF

Abstract

As quoted from the paper: “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.”

Quoted by

Meštrović, Romeo, and Žarko Pavićević, A short survey of the ideal structure of Privalov spaces on the unit disk, Mathematica Montisnigri 32 (2015): 14-22, PDF
Meštrović, Romeo, and Žarko Pavićević, Algebraic Properties Of Some F-algebras Of Holomorphic Functions, XV International Seminar, PDF
Meštrović, Romeo, and Žarko Pavićević, Privalov Spaces On The Unit Disk
Hartmann, Andreas, Xavier Massaneda, and Artur Nicolau, Finitely generated ideals in the Nevanlinna class, 2016, arXiv, PDF

Keywords

Ideals; Nevanlinna class; corona property. AMS Classification: 30D50 Blaschke products; 30H05 Spaces and algebras of analytic functions; 46E25 Rings and algebras of functions with smoothness properties.