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 be closed is that the formal series for each function of a known closed normal orthogonal set in terms of converge in the mean to that function.

The theorem was proved by Giuseppe Lauricella in 1912.

### Other articles related to "lauricella":

Lauricella Hypergeometric Series

... In 1893 Giuseppe

... In 1893 Giuseppe

**Lauricella**defined and studied four hypergeometric series FA, FB, FC, FD of three variables ... They are (**Lauricella**1893) for### Famous quotes containing the word theorem:

“To insure the adoration of a *theorem* for any length of time, faith is not enough, a police force is needed as well.”

—Albert Camus (1913–1960)