Shifted Hermite--Biehler functions and their applications

DOI10.1007/s00020-006-1450-4zbMath1115.46023OpenAlexW2130504079MaRDI QIDQ877857

Harald Woracek, Vyacheslav N. Pivovarchik

Publication date: 3 May 2007

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-006-1450-4

zbMATH Keywords

boundary value problemde Branges spacePontryagin spaceHermite-Biehler class

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Entire functions of one complex variable (general theory) (30D20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Related Items (6)

Symmetry in de Branges almost Pontryagin spaces ⋮ Higher-order interlacing for matrix-valued meromorphic Herglotz functions ⋮ A generalized Hermite-Biehler theorem and non-Hermitian perturbations of Jacobi matrices ⋮ Subspaces of de Branges spaces with prescribed growth ⋮ On spectra of quadratic operator pencils with rank one gyroscopic linear part ⋮ On solvability of three spectra problem

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