Nevanlinna classes associated to a closed set on ∂D

2017/06/09 by Éric Amar, Amar, Eric
Mathematics · #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1706.03837

openalex publication_date 2017/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce Nevanlinna classes of holomorphic functions associated to a closed set on the boundary of the unit disc in the complex plane and we get Blaschke type theorems relative to these classes by use of several complex variables methods. This gives alternative proofs of some results of Favorov & Golinskii, useful, in particular, for the study of eigenvalues of non self adjoint Schrödinger operators.

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