Spaces of test functions and distributions

ID: spaces-of-test-functions-and-distributions

In the field of mathematical analysis, particularly in functional analysis and the theory of partial differential equations, the concepts of *test functions* and *distributions* (or generalized functions) are quite important. Here's an overview of both concepts and their relationship: ### Test Functions **Test functions** are smooth functions that have certain desirable properties, such as being infinitely differentiable and having compact support.

New to topics? Read the docs here!