Natural boundaries and spectral theory |
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| Authors: | Jonathan Breuer Barry Simon |
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| Institution: | aEinstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel;bMathematics 253-37, California Institute of Technology, Pasadena, CA 91125, USA |
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| Abstract: | We present and exploit an analogy between lack of absolutely continuous spectrum for Schrödinger 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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| Keywords: | MSC: 30B30 35P05 30B20 |
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