On the roots of determinants of a class of holomorphic matrix-valued functions

DOI10.1016/j.jmaa.2013.02.055zbMath1318.30010OpenAlexW2094116695MaRDI QIDQ2258425

Miron B. Bekker

Publication date: 26 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.02.055

zbMATH Keywords

Cauchy transformzeros of holomorphic functionsholomorphic matrix-valued 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) Nevanlinna spaces and Smirnov spaces (30H15)

Cites Work

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• An eigenvalue estimate and its application to non-selfadjoint Jacobi and Schrödinger operators
• Concentration at a radius for Hardy class functions
• Bounding zeros of \(H^ 2\) functions via concentrations
• Estimates for H2 functions with concentration at low degrees and applications to complex symbolic computation.
• From spectral theory to bounds on zeros of holomorphic functions

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