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The density of states of a local almost periodic operator in $ℝ^{ν}$

Andrzej Krupa — 2003

Studia Mathematica

We prove the existence of the density of states of a local, self-adjoint operator determined by a coercive, almost periodic quadratic form on $H^{m} (ℝ^{ν})$ . The support of the density coincides with the spectrum of the operator in $L ² (ℝ^{ν})$ .

Ultrapowers of unbounded selfadjoint operators

Andrzej Krupa; Bogdan Zawisza — 1987

Studia Mathematica

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The density of states of a local almost periodic operator in ℝ ν

Ultrapowers of unbounded selfadjoint operators

The density of states of a local almost periodic operator in $ℝ^{ν}$