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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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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