Localization of Zeros for Cauchy Transforms

DOI10.1093/imrn/rnu142zbMath1325.30053arXiv1312.6706OpenAlexW3103384798MaRDI QIDQ3450452

Anton D. Baranov, Yurii Belov, Evgeny V. Abakumov

Publication date: 5 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6706

zbMATH Keywords

Cauchy transformHilbert spaces of analytic functions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Spaces and algebras of analytic functions of one complex variable (30H99)

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De Branges functions of Schrödinger equations ⋮ The Beurling–Malliavin Multiplier Theorem and Its Analogs for the de Branges Spaces ⋮ Geometry of reproducing kernels in model spaces near the boundary ⋮ Krein-type theorems and ordered structure for Cauchy-de Branges spaces ⋮ Cauchy-de Branges spaces, geometry of their reproducing kernels and multiplication operators ⋮ Synthesizable differentiation-invariant subspaces ⋮ Jacobi matrices with lacunary spectrum

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