Free dense subgroups of holomorphic automorphisms


Autoria(s): Andrist, Rafael Benedikt; Wold, Erlend Fornaess
Data(s)

2015

Resumo

We show the existence of free dense subgroups, generated by two elements, in the holomorphic shear and overshear group of complex-Euclidean space and extend this result to the group of holomorphic automorphisms of Stein manifolds with the density property, provided there exists a generalized translation. The conjugation operator associated to this generalized translation is hypercyclic on the topological space of holomorphic automorphisms.

Formato

application/pdf

application/pdf

Identificador

http://boris.unibe.ch/82552/1/1303.1810.pdf

http://boris.unibe.ch/82552/8/art%253A10.1007%252Fs00209-015-1425-8.pdf

Andrist, Rafael Benedikt; Wold, Erlend Fornaess (2015). Free dense subgroups of holomorphic automorphisms. Mathematische Zeitschrift, 280(1-2), pp. 335-346. Springer 10.1007/s00209-015-1425-8 <http://dx.doi.org/10.1007/s00209-015-1425-8>

doi:10.7892/boris.82552

info:doi:10.1007/s00209-015-1425-8

urn:issn:0025-5874

Idioma(s)

eng

Publicador

Springer

Relação

http://boris.unibe.ch/82552/

Direitos

info:eu-repo/semantics/openAccess

info:eu-repo/semantics/restrictedAccess

Fonte

Andrist, Rafael Benedikt; Wold, Erlend Fornaess (2015). Free dense subgroups of holomorphic automorphisms. Mathematische Zeitschrift, 280(1-2), pp. 335-346. Springer 10.1007/s00209-015-1425-8 <http://dx.doi.org/10.1007/s00209-015-1425-8>

Palavras-Chave #510 Mathematics
Tipo

info:eu-repo/semantics/article

info:eu-repo/semantics/publishedVersion

PeerReviewed