The Spaces of Delta-subharmonic Functions of Finite Order with Respect to the Model Function of Growth

The aim of this paper is to study the spaces \(\delta S(V)\) ofdelta-subharmonic functions \(v\) of finite order with respect tothe growth function \(V\) which is defined by a model function. Thenecessary and sufficient conditions for the function \(v\) to belongto the space \(\delta S(V)\) are obtained. These conditions areobtained in terms of the Fourier coefficients of the function \(v\) .