Abstract
The essence of the so-called transition method for convolution equations [1] is that the integral equations of the first and second kind of Volterra convolution with the help of a special continuation of the kernel , solution and free term from the interval [0,1] to the interval [0,2] is reduced to equivalent to the Fredholm equations with a difference kernel of the first or second kind, which allows the well-known rich Hilbert-Schmitt theory of symmetric operators in a Hilbert space to be applied to the latter. All this is demonstrated on a private measurement. For the convenience of the reader, we present Theorem 1 with a proof proposed by the author in [1].
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