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A Blaschke-type condition and its application to complex Jacobi matrices

Alexander Borichev, Leonid Golinskiĭ, S. Kupin

Bulletin of the London Mathematical Society · 2009 · 84 citations · 6 references

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Abstract

We obtain a Blaschke-type necessary condition on zeros of analytic functions on the unit disc 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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