Titchmarsh's convolution theorem states that if the functions f, g vanish on (-∞, 0) and if the convolution f * g(t) = 0 on an interval (0, T), then there are two numbers α, β ≥ 0 such that α + β = T, ...

This is a preview. Log in through your library . Abstract In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein’s theorem for completely monotonic functions, some ...