Hilbert-Schmidt theory

Hilbert-Schmidt theory

[¦hil·bərt ′shmit ‚thē·ə·rē]
(mathematics)
A body of theorems which investigates the kernel of an integral equation via its eigenfunctions, and then applies these functions to help determine solutions of the equation.
References in periodicals archive ?
Discussion of the Hilbert-Schmidt theory covers boundary problems for ordinary linear differential equations, vibration problems, and flow of heat in a bar.