The density of states of a local almost periodic operator in ${\Bbb R}^{\nu}$
Studia Mathematica, Tome 158 (2003) no. 3, pp. 227-237

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove the existence of the density of states of a local, self-adjoint operator determined by a coercive, almost periodic quadratic form on $H^m({{\mathbb R}}^{\nu })$. The support of the density coincides with the spectrum of the operator in $L^2({{\mathbb R}}^{\nu })$.
DOI : 10.4064/sm158-3-4
Keywords: prove existence density states local self adjoint operator determined coercive almost periodic quadratic form mathbb support density coincides spectrum operator mathbb

Andrzej Krupa 1

1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
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Andrzej Krupa. The density of states of a
 local almost periodic operator in ${\Bbb R}^{\nu}$. Studia Mathematica, Tome 158 (2003) no. 3, pp. 227-237. doi: 10.4064/sm158-3-4

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