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.