resolvent kernel

resolvent kernel

[ri′zäl·vənt ′kər·nəl]
(mathematics)
A function appearing as an integrand in an integral representation for a solution of a linear integral equation which often completely determines the solutions.
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The proof of the theorem is done by constructing the resolvent kernel R([zeta]; [H.
The first step is to analyze the behavior as [absolute value of x - y] [right arrow] [infinity] of the resolvent kernel R([zeta]; K)(x,y).
The second step is to construct the resolvent kernel with two solenoids for the pair ([d.
The third step is to construct the resolvent kernel of the operator [H.