Information on the thesis

In this PhD thesis Laplace-Stieltjes integrals with an arbitrary abscissa of the
convergence,new the lower and upper estimates are obtained. The accumulated results are used
to deduce the relationships between the growth of the integral and the maximum of the integrand.
In the terms of two-member asymptotic it is shown a connection between the behavior of
Young conjugated functions and used the results for studying two-member asymptotic of Laplace-
Stieltjes integral.
For the Laplace-Stieltjes integrals analogues of the Whittaker theorem of order and the lower
order of an entire function presented by lacunar series are obtained .
We obtain formulas to find the abscissa of the convergence of the Laplace-Stieltjes integral.
Key words: Laplace-Stieltjes integral, abscissa of convergence, maximum of integrand, twomember
asymptotic, Whittaker’s inequality, Dirichlet series.