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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2015 Number 4, Pages 75–84 (Mi ivm8993)

This article is cited in 3 papers

Sequences of non-uniqueness for weight spaces of holomorphic functions

B. N. Khabibullin

Chair of Higher Algebra and Geometry, Bashkir State University, 32 Z. Validi str., Ufa, 450074 Russia

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.

UDC: 517.537+517.574+514.172

Received: 06.10.2013


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:4, 63–70

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