Our starting point is the following question: To what extent is a function's value at a point x of a topological space determined by its values in an arbitrarily small (deleted) neighborhood of x? For ...

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 ...

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 ...