TY - JOUR AU - Martínez Ansemil, José María AU - Ponte Miramontes, María Del Socorro AU - López-Salazar Codes, Jerónimo PY - 2015 DO - 10.4171/PRIMS/152 SN - 0034-5318 UR - https://hdl.handle.net/20.500.14352/34661 T2 - Publications of the Research Institute for Mathematical Sciences AB - This paper is devoted to studying the space A(U) of all analytic functions on an open subset U of ℝℕ or ℂℕ. It is proved that if U satisfies a weak condition (that will be called the 0-property), then every f ϵ A(U) depends only on afinite number of... M2 - 191 PB - European Mathematical Society KW - Analytic function KW - Locally convex topology KW - Inductive limit TI - The spaces of analytic functions on open subsets of RN and CN TY - journal article VL - 51 ER -