ON WAVELET DECOMPOSITION OF HERMITE TYPE SPLINES

摘要

We consider wavelet decompositions of spaces of Hermite type splines of class C~1(α , β) that are defined by a 4-component vector-valued function φ(t) ∈C~1 (α , β) by means of a grid X (not necessarily uniform) on (α , β) ∈ R~1 (the special case φ(t)~(def) = (1,t,t~2,t~3)~T corresponds to cubic Hermite splines). The basis wavelets obtained are compactly supported. The decomposition and reconstruction formulas are given. Bibliography. 8 titles.