Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution
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- by A. A. Shkalikov PDF
- Trans. Amer. Math. Soc. 281 (1984), 49-63 Request permission
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.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 281 (1984), 49-63
- MSC: Primary 30D20; Secondary 47A70
- DOI: https://doi.org/10.1090/S0002-9947-1984-0719658-8
- MathSciNet review: 719658