2016-09-272016-09-272007-03Bernal González, L., Bonilla Ramírez, A.L., Calderón Moreno, M.d.C. y Prado Bassas, J.A. (2007). Maximal cluster sets of L-analytic functions along arbitrary curves. Constructive Approximation, 25 (2), 211-219.0176-42761432-0940http://hdl.handle.net/11441/45722Let Ω be a domain in the N-dimensional real space, L be an elliptic differential operator, and (Tn) be a sequence whose members belong to a certain class of operators defined on the space of L-analytic functions on Ω. It is proved in this paper the existence of a dense linear manifold of L-analytic functions all of whose nonzero members have maximal cluster sets under the action of every Tn along any curve ending at the boundary of Ω such that its ω-limit does not contain any component of the boundary. The above class contains all partial differentiation operators ∂ α, hence the statement extends earlier results due to Boivin, Gauthier and Paramonov, and to the first, third and fourth authors.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Maximal cluster setL-analytic functionDdense linear manifoldAdmissible pathElliptic operatorInternally controlled operatorinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s00365-006-0636-5https://idus.us.es/xmlui/handle/11441/45722