Gerasimenko V. Generalized presentations of subharmonic functions

In dissertation work presentations subharmonic functions of finite -type in a complex plane and half-plane are got, the concept of general presentation in sense of Veyershtrass and Nevanlinna of these functions is entered. It is proved that these presentations in the case of functions of finite order coincide with presentations of Adamara and Grishina. The closed ideals in the class of whole functions of finite -type are studied. The analogue of theorem of Berlenga about a plural, which is dense in a main ideal which belongs to space of whole functions of finite -type is proved and the decision of problem of free interpolation in this class is given.