On continuous parameter dependence of roots of analytic functions

DOI10.1007/s00025-023-02079-yzbMath1530.30011MaRDI QIDQ6140067

Manfred Möller

Publication date: 19 January 2024

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

continuous parameter dependenceroots of analytic functions

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

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• Analytic perturbation theory for matrices and operators. Licensed ed
• Spectral theory of operator pencils, Hermite-Biehler functions, and their applications
• Roots and polynomials as homeomorphic spaces
• Shorter Notes: The Roots of a Polynomial Vary Continuously as a Function of the Coefficients
• CONTINUITY OF ROOTS, REVISITED

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