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Date: 22-11-2018
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Date: 1-11-2018
316
Date: 25-11-2018
444
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If (with possible repetitions) satisfies
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
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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