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Natural Boundaries and Spectral Theory

We present and exploit an analogy between lack of absolutely continuous spectrum for Schroedinger operators and natural boundaries for power series. Among our new results are generalizations of Hecke's example and natural boundary examples for random power series where independence is not assumed.

preprint2010arXivOpen access
Jonathan BreuerBarry Simon
math.CVmath.SP
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Open access2 authors2 topics
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Jonathan BreuerBarry Simon

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