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arXiv · 1002.0823

Natural Boundaries and Spectral Theory

Jonathan Breuer·Barry Simon
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Abstract

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.

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Jonathan Breuer, Barry Simon. 2010-08-08. Natural Boundaries and Spectral Theory. https://arxiv.org/abs/1002.0823

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