Lauricella's theorem
id:
lauricella-s-theorem-255-3042656
title:
Lauricella's theorem
text:
In the theory of orthogonal functions, Lauricella's theorem provides a condition for checking the closure of a set of orthogonal functions, namely: Theorem. A necessary and sufficient condition that a normal orthogonal set { u k } be closed is that the formal series for each function of a known closed normal orthogonal set { v k } in terms of { u k } converge in the mean to that function. The theorem was proved by Giuseppe Lauricella in 1912.
brand slug:
wiki
category slug:
encyclopedia
description:
Orthogonal functions theorem
original url:
https://en.wikipedia.org/wiki/Lauricella%27s_theorem
date created:
date modified:
2020-12-15T07:47:15Z
main entity:
{"identifier":"Q6501470","url":"https://www.wikidata.org/entity/Q6501470"}
image:
fields total:
13
integrity:
14