Harmonic Analysis on Semigroups Theory of Positive Definite and Related Functions / by C. van den Berg, J. P. R. Christensen, P. Ressel.
The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact terms in the famous theorems of Bochner, Ber...
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