Composition operators and a pull-back measure formula

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1 Scopus citations

Abstract

A pull-back measure formula obtained in some particular cases by E. A. Nordgren and this author is generalized in the framework of boundary measures for zero-free Nevanlinna class functions on the unit polydisk. The formula is used to characterize the zero-free Nevanlinna class functions which are solutions of Schröder's equation induced by a polydisk automorphism φ (i.e. to determine the zero-free functions f belonging to the Nevanlinna class which are solutions of the functional equation f o φ = λf, for some constant λ), thus generalizing earlier results obtained by R. Mortini and this author.

Original languageEnglish (US)
Pages (from-to)329-334
Number of pages6
JournalIntegral Equations and Operator Theory
Volume39
Issue number3
DOIs
StatePublished - Mar 2001

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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