The present paper is devoted to the investigation of the properties of the space of distributions with discontinuous test functions of several variables. The consideration of discontinuous test ...

In this paper the existence of one-sided filters is proved for spectral Fourier approximations of discontinuous functions, which can recover spectral accuracy up to the discontinuity from one side. A ...

This example illustrates some properties of splines. Splines are curves, which are usually required to be continuous and smooth. Splines are usually defined as piecewise polynomials of degree n with ...