Displaying similar documents to “Good-irreducible inner functions on a polydisc”

On quotients of holomorphic funtions in the dics with boundary regularity conditions.

Joaquín M. Ortega (1988)

Publicacions Matemàtiques

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In this paper we give characterizations of those holomorphic functions in the unit disc in the complex plane that can be written as a quotient of functions in A(D), A(D) or Λ(D) with a nonvanishing denominator in D. As a consequence we prove that if f ∈ Λ(D) does not vanish in D, then there exists g ∈ Λ(D) which has the same zero set as f in Dbar and such that fg ∈ A(D).

Cluster sets of analytic multivalued functions

S. Harbottle (1992)

Studia Mathematica

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Classical theorems about the cluster sets of holomorphic functions on the unit disc are extended to the more general setting of analytic multivalued functions, and examples are given to show that these extensions cannot be improved.