Spaces of test functions and distributions
id:
spaces-of-test-functions-and-distributions-181-10970696
title:
Spaces of test functions and distributions
text:
In mathematical analysis, the spaces of test functions and distributions are topological vector spaces (TVSs) that are used in the definition and application of distributions. Test functions are usually infinitely differentiable complex-valued functions on a non-empty open subset U ⊆ R n that have compact support. The space of all test functions, denoted by C c ∞, is endowed with a certain topology, called the canonical LF-topology, that makes C c ∞ into a complete Hausdorff locally convex TVS.
brand slug:
wiki
category slug:
encyclopedia
description:
Topological vector spaces involving with the definition and use of Schwartz distributions.
original url:
https://en.wikipedia.org/wiki/Spaces_of_test_functions_and_distributions
date created:
2021-05-28T19:08:38Z
date modified:
2024-09-06T11:59:21Z
main entity:
{"identifier":"Q107342602","url":"https://www.wikidata.org/entity/Q107342602"}
image:
fields total:
13
integrity:
15