Abstract:
Using the Fragmen–Lindelöf principle, we prove that, in the Paley–Wiener–Schwartz theorem, the condition imposed on the function can be replaced by two conditions whose validity is easier to verify in a number of cases.
Keywords:generalized function (distribution), Fragmen–Lindelöf principle, Paley–Wiener–Schwartz theorem, Fourier–Laplace transform.