Asymptotics for Christoffel functions associated to continuum Schrödinger operators
Benjamin Eichinger
Abstract:We prove asymptotics of the Christoffel function, λL(ξ), of a continuum Schrödinger operator for points in the interior of the essential spectrum under some mild conditions on the spectral measure. It is shown that LλL(ξ) has a limit and that this limit is given by the Radon–Nikodym derivative of the spectral measure with respect to the Martin measure. Combining this with a recently developed local criterion for universality limits at scale λL(ξ), we compute universality limits for continuum Schrödinger operat… Show more
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