Goncharov, A. P.Zahariuta, V. P.2016-02-082016-02-0820031050-6926http://hdl.handle.net/11693/24375Using the basis in the space of Whitney functions ε(K), where K ℝ is the closure of a union of a sequence of closed intervals tending to a point, we construct a special basis in the space C ∞[0,1] and then a basis in the space of C ∞-functions on a graduated sharp cusp with arbitrary sharpness. © 2003 Mathematica Josephina, Inc.EnglishBasis in the space of C ∞-functions on a graduated sharp cuspArticle10.1007/BF02930999