DOI

We analyze the singular spectrum of selfadjoint operators which arise from pasting a finite number of boundary relations with a standard interface condition. A model example for this situation is a Schrödinger operator on a star-shaped graph with continuity and Kirchhoff conditions at the interior vertex. We compute the multiplicity of the singular spectrum in terms of the spectral measures of the Weyl functions associated with the single (independently considered) boundary relations. This result is a generalization and refinement of a Theorem of I.S.Kac.

Язык оригиналаанглийский
Страницы (с-по)523-575
Число страниц53
ЖурналIntegral Equations and Operator Theory
Том78
Номер выпуска4
DOI
СостояниеОпубликовано - 2014

    Предметные области Scopus

  • Анализ
  • Алгебра и теория чисел

ID: 9366278