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

• Autorzy: Andrzej Krupa
• Języki publikacji: EN

Abstrakty

EN

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 $L²(ℝ^{ν})$.

Kategorie tematyczne

• 47F05: Partial differential operators (should also be assigned at least one other classification number in section 47)
• 47B25: Symmetric and selfadjoint operators (unbounded)
• 35P20: Asymptotic distribution of eigenvalues and eigenfunctions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 158
• Numer: 3
• Strony: 227-237

Daty

wydano

2003

Twórcy

autor

Andrzej Krupa

• Institute of Applied Mathematics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm158-3-4