Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
On the zeros of functions with finite Dirichlet integral
Krzysztof Bogdan
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1996 年 19 巻 1 号 p. 7-16

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We characterize subsets A of the unit disc in the plane such that every Blaschke sequence with elements in A is the sequence of zeros of an analytic function with finite Dirichlet integral.
Also, assuming that arguments are uniformly distributed independent random variables, we characterize the moduli of sequences which are almost surely zero sequences for the same function family.
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© Department of Mathematics, Tokyo Institute of Technology
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