|
Título:
|
The Linear Fractional Model Theorem and Aleksandrov-Clark measures
|
|
Autores:
|
Gallardo Gutiérrez, Eva A. ;
Nieminen, Pekka J.
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Oxford University Press, 2015
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/restrictedAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Análisis matemático
,
Tipo = Artículo
|
|
Resumen:
|
A remarkable result by Denjoy and Wolff states that every analytic self-map. of the open unit disc D of the complex plane, except an elliptic automorphism, has an attractive fixed point to which the sequence of iterates {phi(n)}(n >= 1) converges uniformly on compact sets: if there is no fixed point in D, then there is a unique boundary fixed point that does the job, called the Denjoy-Wolff point. This point provides a classification of the analytic self-maps of D into four types: maps with interior fixed point, hyperbolic maps, parabolic automorphism maps and parabolic non-automorphism maps. We determine the convergence of the Aleksandrov-Clark measures associated to maps falling in each group of such classification
|
|
En línea:
|
https://eprints.ucm.es/34302/1/Gallardo25.pdf
|
