ABSTRACT

Distributions are a generalization of locally integrable functions on the real line, or more

generally, a generalization of functions that are defined on an arbitrary open set in the

Euclidean space.

Distributions were introduced as a result of difficulties with solving some problems of

mathematical physics, quantum mechanics, electrotechnics and so forth. In these domains

there are many theoretical and practical problems where the notion of function is not

sufficient in this or that sense.