Lévy–Khinchin representation of a class of signed measures

We study properties of symmetric stable measures with the index of stability $\alpha\in(2,4)\cup(4,6)$. For such signed measures we construct a natural analogue of the Lévy–Khinchin representation. We show that in some special sense these measures are limit measures for the sums of independent random variables. Bibl. – 6 titles.