Abstract
The work is devoted to the local moment problem, which consists in finding of non-decreasing functions on the real axis
having given first 2n+1; n = 0,1,2,...; power moments on the whole axis and also 2m+1 first power moments on a certain finite
axis interval. Considering the local moment problem as a combination of the Hausdorff and Hamburger truncated moment
problems we obtain the conditions of its solvability and describe the class of its solutions with minimal number of growth
points if the problem is solvable.
