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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Semigroups of holomorphic functions in the polydisk


Authors: M. D. Contreras, C. de Fabritiis and S. Díaz-Madrigal
Journal: Proc. Amer. Math. Soc. 139 (2011), 1617-1624
MSC (2010): Primary 32A99; Secondary 37L05
Published electronically: October 4, 2010
MathSciNet review: 2763751
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Abstract: In this paper we provide an easy-to-use characterization of infinitesimal generators of semigroups of holomorphic functions in the polydisk. We also present a number of examples related to that characterization.


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M. D. Contreras
Affiliation: Departamento de Matemática Aplicada II, Escuela Técnica Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos, 41092, Sevilla, Spain
Email: contreras@us.es

C. de Fabritiis
Affiliation: Dipartimento di Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, 60131, Ancona, Italia
Email: fabritiis@dipmat.univpm.it

S. Díaz-Madrigal
Affiliation: Departamento de Matemática Aplicada II, Escuela Técnica Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos, 41092, Sevilla, Spain
Email: madrigal@us.es

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10571-3
PII: S 0002-9939(2010)10571-3
Keywords: Polydisk, semigroups of holomorphic functions, infinitesimal generator.
Received by editor(s): February 8, 2010
Received by editor(s) in revised form: May 4, 2010
Published electronically: October 4, 2010
Additional Notes: The first and third authors were partially supported by the Ministerio de Ciencia e Innovación and the European Union (FEDER), project MTM2009-14694-C02-02, by La Consejería de Educación y Ciencia de la Junta de Andalucía and by the European Science Foundation Research Networking Programme HCAA
Communicated by: Franc Forstneric
Article copyright: © Copyright 2010 American Mathematical Society