RT Book, Section
T1 Analytic completion of an open set
A1 Ansemil, José María M.
A1 López-Salazar Codes, Jerónimo
A1 Ponte, Socorro
AB 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.
PB UCM
SN 978-84-695-4421-1
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/173
UL https://hdl.handle.net/20.500.14352/173
LA eng
NO UCM
DS Docta Complutense
RD 10 abr 2025