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arxiv: 1405.1659 · v1 · pith:I3UTVPRMnew · submitted 2014-05-07 · 🧮 math.AP

Equidistribution estimates for eigenfunctions and eigenvalue bounds for random operators

classification 🧮 math.AP
keywords operatorseigenfunctionsequidistributionpropertiesannounceboundscontinuationdifferential
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We discuss properties of $L^2$-eigenfunctions of Schr\"odinger operators and elliptic partial differential operators. The focus is set on unique continuation principles and equidistribution properties. We review recent results and announce new ones.

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