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Transactions of the American Mathematical Society

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Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution

Author: A. A. Shkalikov
Journal: Trans. Amer. Math. Soc. 281 (1984), 49-63
MSC: Primary 30D20; Secondary 47A70
MathSciNet review: 719658
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Abstract: Let $ f$ and $ g$ be holomorphic in an angle $ \Lambda $. Theorem 1 shows that the zero-distributions of $ f$ and $ g$ are comparable if, near $ \partial \Lambda $, $ f$ and $ g$ grow similarly. This result is applied to analyse the asymptotic behavior of eigenvalues of certain perturbed normal operators.

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Keywords: Zero distribution of holomorphic functions, estimates of Blaschke product, eigenvalue distribution of perturbed normal operators
Article copyright: © Copyright 1984 American Mathematical Society

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