Natural Boundaries and Spectral Theory

Details Natural Boundaries and Spectral Theory Natural Boundaries and Spectral Theory

2010-02-03

arxiv.org/abs/1002.0823v2

Mathematics

Complex Variables

Scientific paper

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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