Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decrease of bounded holomorphic functions along discrete sets   We provide results of uniqueness for holomorphic functions in the Nevanlinna
class bridging those previously obtained by Hayman and Lyubarskii-Seip. Namely,
we propose certain classes of hyperbolically separated sequences in the disk,
in terms of the rate of non-tangential accumulation to the boundary (the
endpoints of this spectrum of classes being respectively the sequences with a
non-tangential cluster set of positive measure, and the sequences violating the
Blaschke condition); and for each of those classes, we give a critical
condition of radial decrease on the modulus which will force a Nevanlinna class
function to vanish identically.

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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th