Treffer: PARABOLIC MEROMORPHIC FUNCTIONS
Title:
PARABOLIC MEROMORPHIC FUNCTIONS
Authors:
Source:
Pacific journal of mathematics. 250(2):487-509
Publisher Information:
Berkeley, CA: University of California, Department of Mathematics, 2011.
Publication Year:
2011
Physical Description:
print, 3/4 p
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions réelles, Real functions, Fonctions d'une variable complexe, Functions of a complex variable, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Généralités, histoire et biographie, General, history and biography, Mathématiques générales, General mathematics, Comportement, Behavior, Conducta, Ensemble invariant, Invariant set, Conjunto invariante, Fonction méromorphe, Meromorphic function, Función meromorfa, Fonction rationnelle, Rational function, Función racional, Fonction transcendante, Transcendental function, Función trascendente, Mesure invariante, Invariant measure, Medida invariante, 26Cxx, 28C10, 30Dxx, 32A20, 37F50, Ensemble Julia, Julia set, Opérateur Perron Frobenius
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
DEPARTMENT OF MATHEMATICAL SCIENCES TSINGHUA UNIVERSITY, BEIJING 100084, China
ISSN:
0030-8730
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24147279
Database:
PASCAL Archive
Weitere Informationen
Following the definition of parabolic rational functions and in view of the behavior of transcendental meromorphic functions, we give the definition of parabolic transcendental meromorphic functions. We discuss their dynamical behavior and prove the existence of conformal measures and invariant measures over their Julia sets, thus extending Denker and Urbański's work on parabolic rational functions. However, our method for proving the existence of the conformal measures differs in that we use the Perron― Frobenius―Ruelle operator.