This article is cited in 1 paper

Piecewise continuous spline wavelets on irregular grid

A. A. Makarov

St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: Piecewise continuous spline of Lagrange type are constructed. An embedding of spline spaces is established for arbitrary refinement of grids. The system of biorthogonal linear functionals to splines is constructed. Wavelet decompositions and decomposition and reconstruction algorithms in the case of an infinite flow for a grid on an open interval and a finite flow for a grid on a segment are constructed.

Keywords: spline, wavelet, spline wavelet decomposition.

UDC: 519.6

Received: 15.12.2010