Abstract:
Problems of description of zero subsequences (non-uniqueness sequences) for weight spaces of holomorphic functions under some general scheme are reduced to solving certain problems in weight classes of subharmonic functions. We affect also geometrical questions and completeness of exponential systems.
Keywords:holomorphy, zero subseqence, non-uniqueness sequence, subharmonic function, exponential system, $\rho$-convex completability, geometric difference, full sweeping-out.