A Blaschke-type condition and its application to complex Jacobi matrices
classification
🧮 math-ph
math.MP
keywords
blaschke-typecomplexconditionsjacobimatricesanalyticapplicationboundary
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We obtain a Blaschke-type necessary conditions on zeros of analytic functions on the unit disk with different types of exponential growth at the boundary. These conditions are used to prove Lieb-Thirring-type inequalities for the eigenvalues of complex Jacobi matrices.
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