Two classes of extensions for generalized Schrödinger operators

Masayoshi Takeda

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

Two classes of extensions for generalized Schrödinger operators are considered. One is the Markovian self-adjoint extensions and the other is the extensions in Silverstein's sense. We prove that these classes of extensions are identical. As its application, some properties of drift transformations of Brownian motion are derived.

Original languageEnglish
Pages (from-to)1-13
Number of pages13
JournalPotential Analysis
Volume5
Issue number1
DOIs
Publication statusPublished - 1996

Keywords

  • Dirichlet forms
  • Drift transformations of Brownian motion
  • Extensions in Silverstein's sense
  • Generalized Schrödinger operators
  • Markovian self-adjoint extensions

ASJC Scopus subject areas

  • Analysis

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