Publication:
On real analytic functions of unbounded type.

Thumbnail Image
Files
Ansemil17.pdf (459.44 KB)
Official URL
http://link.springer.com/article/10.1007/s13163-012-0095-x
Full text at PDC
Publication Date
2013-07
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Citations
Google Scholar
Exportar
DC QDC MarcXML RDF MODS METS ORE-ATOM
Research Projects
Organizational Units
Journal Issue
Abstract
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
Description
UCM subjects
Análisis matemático
Unesco subjects
1202 Análisis y Análisis Funcional
Keywords
Citation
Ansemil, J.M., Aron, R.M., Ponte, S.: Representation of spaces of entire functions on Banach spaces. Publ. Res. Inst. Math. Sci. 45, 383–391 (2009) Ansemil, J.M., Aron, R.M., Ponte, S.: Behavior of entire functions on balls in a Banach space. Indag. Math. 20, 483–489 (2009) Ansemil, J.M., López–Salazar, J., Ponte, S.: Entire functions uniformly bounded on balls of a Banach space. Stud. Math. 204, 187–194 (2011) Aron, R.M.: Entire functions of unbounded type on a Banach space. Boll. Unione Mat. Ital. 9, 28–31 (1974) Bochnak, J.: Analytic functions on Banach spaces. Stud. Math. XXXV, 271–292 (1970) Dilworth, S.J., Girardi, M., Johnson, W.B.: Geometry of Banach spaces and biorthogonal systems. Stud. Math. 140, 243–271 (2000) Dineen, S.: Complex Analysis on Infinite Dimensional Spaces. Springer Monographs in Mathematics. Springer, London (1999) López-Salazar, J.: Vector spaces of entire functions of unbounded type. Proc. Am. Math. Soc. 139, 1347–1360 (2011) Kirwan, P.: Complexification of multilinear mappings and polynomials. Math. Nachr. 231, 39–68 (2001) CrossRef Mujica, J.: Complex Analysis in Banach Spaces. Dover, New York (2010) Muñoz, G., Sarantopoulos, Y., Tonge, A.: Complexifications of real Banach spaces, polynomials and multilinear maps. Stud. Math. 134, 1–33 (1999) Nachbin, L.: Lectures on the Theory of Distributions. Textos de Matemática, vol. 15. Instituto de Física e Matemática, Universidade do Recife, Recife (1964) Nachbin, L.: Sur les espaces vectoriels topologiques d’applications continues. C. R. Acad. Sci. Paris, Sér. A 271, 596–598 (1970)
URI
https://hdl.handle.net/20.500.14352/33332
Collections
Artículos