Biblioteca de la Universidad Complutense de Madrid

Analytic completion of an open set


Ansemil, José María M. y López-Salazar Codes, Jerónimo y Ponte, Socorro (2012) Analytic completion of an open set. In Contribuciones matemáticas en honor a Juan Tarrés. UCM, Madrid, pp. 27-38. ISBN 978-84-695-4421-1

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Let f be a holomorphic function on a complex normed space E. The possibility of extending f to the completion of E has been studied by Hirschowitz, Noverraz, Dineen, and Dineen-Noverraz. Here, following the ideas in [4, section 6.1], we study the extension problem for functions defined on open subsets of E. Moreover, through a complexification process, we use these results to obtain the analogous ones for analytic functions on real normed spaces. We note that in the real case we do not have, among other things, Cauchy inequalities and they are essential in the complex case.

Tipo de documento:Sección de libro
Palabras clave:Normed space; Holomorphic function; Bounding set
Materias:Ciencias > Matemáticas > Análisis matemático
Código ID:17342
Depositado:05 Dic 2012 12:51
Última Modificación:14 Ene 2014 11:53

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