Author ORCID Identifier
Document Type
Article
Publication Date
1998
Publication Title
Contemp. Math.
Volume
213
First Page
121
Last Page
136
Abstract
The composition operator on the classical Hardy space H2, induced by a hyperbolic disk automorphism is considered. It is investigated when a H2-function induces under the given operator a minimal invariant cyclic subspace. Theorems where we use the behaviour of this function in the neighbourhood of the fixed points of the hyperbolic automorphism in order to decide if the cyclic subspace mentioned above is minimal invariant or not, are obtained. The inner eigenfunctions of the operator under consideration are characterized.
Recommended Citation
Matache, Valentin The eigenfunctions of a certain composition operator. Studies on composition operators (Laramie, WY, 1996), 121–136, Contemp. Math., 213, Amer. Math. Soc., Providence, RI, 1998.
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Comments
First published in Contemp. Math. 213 (1998), published by the American Mathematical Society. © 1998 American Mathematical Society.
You may access the volume here: http://dx.doi.org/10.1090/conm/213.