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 language | English (US) |
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Pages (from-to) | 329-334 |
Number of pages | 6 |
Journal | Integral Equations and Operator Theory |
Volume | 39 |
Issue number | 3 |
DOIs | |
State | Published - Mar 2001 |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory