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Hilbert-Schmidt theory

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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.


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Discussion of the Hilbert-Schmidt theory covers boundary problems for ordinary linear differential equations, vibration problems, and flow of heat in a bar.
 
 
 
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