We investigate non-stationary orthogonal wavelets based on a non-stationary interpolatory
subdivision scheme reproducing a given set of exponentials with real-valued parameters …

Let L be a linear differential operator with constant coefficients of order n and complex
eigenvalues λ 0,…, λ n. Assume that the set U n of all solutions of the equation Lf= 0 is …

Cardinal polysplines of order p on annuli are functions in C2p-2Rn⧹ 0 which are piecewise
polyharmonic of order p such that Δp-1S may have discontinuities on spheres in Rn …

In the classical theory of cubic interpolation splines there exists an algorithm which works
with only O n arithmetic operations. Also, the smoothing cubic splines may be computed via …

Explicit pointwise error bounds for the interpolation of a smooth function by piecewise
exponential splines of order four are given. Estimates known for cubic splines are extended …

In this paper a special class of one-dimensional L-splines of order 4 is studied, which
naturally appear in the computation of interpolation and smoothing with multivariate …

Radial Basis Functions (RBF) have found a wide area of applications. We consider the case
of polyharmonic RBF (called sometimes polyharmonic splines) where the data are on …

In this paper it is shown that many features from polynomial spline methods used in
nonparametric regression and smoothing procedures carry over to the class of L-splines …

Biharmonic polysplines on strips are natural generalizations of univariate cubic splines. Our
construction of cardinal interpolation for such polysplines is based on cardinal interpolation …

The main result in this paper is an error estimate for interpolation biharmonic polysplines in
an annulus $ A\left (r_ {1}, r_ {N}\right) $, with respect to a partition by concentric annular …