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

Abstract

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.

a detailed preliminary version; a shorter version is available upon request

References in corpus (1)

• Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials

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