In this paper we consider polynomial splines S(x) with equidistant nodes which may grow a5 O(|x|~5). We present an integral representation of such splines with
For the hypersurface Γ=(y,γ(y)), the singular integral operator along Γ is defined by. Kf(x,x<sub>n</sub>)=P.V.∫<sub>R</sub><sup>nl</sup>, f(x-y,x<sub>n</sub>-γ(y))<
If dμ is the Fourier transform of a smooth measure,dμ on the hypersphere Sn-1(n≥2)the there exists a constant C dependent only on n such that |dμ(y) |≤C(1+