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Date: 18-10-2018
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Date: 25-11-2018
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Date: 27-11-2018
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If (with possible repetitions) satisfies
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where is the unit open disk, and no
, then there is a bounded analytic function on
which has zero set consisting precisely of the
s, counted according to their multiplicities. More specifically, the infinite product
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where is a Blaschke factor and
is the complex conjugate, converges uniformly on compact subsets of
to a bounded analytic function
.
REFERENCES:
Krantz, S. G. "The Blaschke Condition." §9.1.5 in Handbook of Complex Variables. Boston, MA: Birkhäuser, pp. 118-119, 1999.
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