Composition operators and a pull-back measure formula

Research output: Contribution to journalArticle

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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 1 2001

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Pullback
Composition Operator
Polydisk
Zero
Automorphism
Functional equation
Unit
Class

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

Cite this

Composition operators and a pull-back measure formula. / Matache, Valentin.

In: Integral Equations and Operator Theory, Vol. 39, No. 3, 01.03.2001, p. 329-334.

Research output: Contribution to journalArticle

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