N. Filonov, A. V. Sobolev, “Absence of the singular continuous component in the spectrum of analytic direct integrals”, Zap. Nauchn. Sem. POMI, 2004, Volume 318,Pages <nobr>298

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Absence of the singular continuous component in the spectrum of analytic direct integrals

N. Filonov^a, A. V. Sobolev^b

^a St. Petersburg State University, Faculty of Physics
^b University of Sussex

Abstract: We give a simple proof of the absence of the singular continuous component in the spectrum of self-adjoint operators representable as analytic direct integrals.

UDC: 517

Received: 17.08.2004

Language: English