Semigroups of holomorphic functions in the polydisk
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- by M. D. Contreras, C. de Fabritiis and S. Díaz-Madrigal PDF
- Proc. Amer. Math. Soc. 139 (2011), 1617-1624 Request permission
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.References
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Additional Information
- M. D. Contreras
- Affiliation: Departamento de Matemática Aplicada II, Escuela Técnica Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos, 41092, Sevilla, Spain
- MR Author ID: 335888
- Email: contreras@us.es
- C. de Fabritiis
- Affiliation: Dipartimento di Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, 60131, Ancona, Italia
- MR Author ID: 294935
- 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
- MR Author ID: 310764
- Email: madrigal@us.es
- 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
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 139 (2011), 1617-1624
- MSC (2010): Primary 32A99; Secondary 37L05
- DOI: https://doi.org/10.1090/S0002-9939-2010-10571-3
- MathSciNet review: 2763751