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arxiv: 1603.04431 · v2 · pith:DJWB6YACnew · submitted 2016-03-14 · 🧮 math.FA · math-ph· math.CV· math.MP

A remark on analytic Fredholm alternative

classification 🧮 math.FA math-phmath.CVmath.MP
keywords analyticfunctionsalongalternativeapplyblaschke-typeborichev-golinskii-kupincomplex
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We apply a recent result of Borichev-Golinskii-Kupin on the Blaschke-type conditions for zeros of analytic functions on the complex plane with a cut along the positive semi-axis to the problem of the eigenvalues distribution of the Fredholm-type analytic operator-valued functions.

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