RT Journal Article T1 On real analytic functions of unbounded type. A1 Martínez Ansemil, José María A1 López-Salazar Codes, Jerónimo A1 Ponte Miramontes, María Del Socorro AB In this paper we prove several results on the existence of analytic functions on an infinite dimensional real Banach space which are bounded on some given collection of open sets and unbounded on others. In addition, we also obtain results on the density of some subsets of the space of all analytic functions for natural locally convex topologies on this space PB Springer SN 1139-1138 YR 2013 FD 2013-07 LK https://hdl.handle.net/20.500.14352/33332 UL https://hdl.handle.net/20.500.14352/33332 LA eng NO Martínez Ansemil, J. M., López-Salazar Codes, J. & Ponte Miramontes, M. S. «On Real Analytic Functions of Unbounded Type». Revista Matemática Complutense, vol. 26, n.o 2, julio de 2013, pp. 549-60. DOI.org (Crossref), https://doi.org/10.1007/s13163-012-0095-x. NO UCM DS Docta Complutense RD 16 jul 2025