Protsyk Y. Investigation of аsymptotic properties of subharmonic functions by the spherical harmonics method

In the thesis the method of spherical harmonics, developed by A.A. Kondratyuk for subharmonic functions in Euclidean space of finite lambda-type, is modified for the classes of subharmonic functions of finite (lambda,epsilon)-type in the sense of B.N. Khabibullin; exhaustive characterization of the growth majorants of subharmonic functions whose Riesz measures have finite lambda-density is given, the general form of such majorants is established and the canonical Weierstrass integrals, which provides optimal growth are constructed; the Goldberg's generalized problem on the canonical representation of delta-subharmonic functions is solved.