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arXiv:math/0412359 [math.CV]AbstractReferencesReviewsResources

Zero (sub)sets for spaces of holomorphic functions and (sub)harmonic minorants

Bulat N. Khabibullin

Published 2004-12-18, updated 2005-10-01Version 2

We obtain various general conditions in terms of the balayage and Green's functions under which the sequence of points is the zero set for weighted spaces of holomorphic functions in a domain on the complex plane.

Comments: LaTex-2e, 42 pages
Categories: math.CV, math.FA
Subjects: 30C15, 30D30, 30D50, 30H05, 31A05, 31A15
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