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arxiv: 1107.3440 · v3 · pith:LQS4SOXPnew · submitted 2011-07-18 · 🧮 math.AP · math.DG

A natural lower bound for the size of nodal sets

classification 🧮 math.AP math.DG
keywords lowernaturalnodalsetsboundboundscompactdimensional
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We prove a natural inequality which implies the known lower bounds for the $(n-1)$-dimensional Hausdorff measure of nodal sets for smooth compact manifolds.

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