Two classes of extensions for generalized Schrödinger operators

Masayoshi Takeda

doi:10.1007/BF00276692

Two classes of extensions for generalized Schrödinger operators

Masayoshi Takeda

SCI - Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Potential Analysis
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/BF00276692
Publication status	Published - 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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10.1007/BF00276692

Cite this

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title = "Two classes of extensions for generalized Schr{\"o}dinger operators",

abstract = "Two classes of extensions for generalized Schr{\"o}dinger 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.",

keywords = "Dirichlet forms, Drift transformations of Brownian motion, Extensions in Silverstein's sense, Generalized Schr{\"o}dinger operators, Markovian self-adjoint extensions",

author = "Masayoshi Takeda",

year = "1996",

doi = "10.1007/BF00276692",

language = "English",

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journal = "Potential Analysis",

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KW - Dirichlet forms

KW - Drift transformations of Brownian motion

KW - Extensions in Silverstein's sense

KW - Generalized Schrödinger operators

KW - Markovian self-adjoint extensions

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Two classes of extensions for generalized Schrödinger operators

Abstract

Keywords

ASJC Scopus subject areas

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