Spectral representation of local symmetric semigroups of operators

Ami Viselter

doi:10.1007/s00233-009-9141-5

Spectral representation of local symmetric semigroups of operators

Research output: Contribution to journal › Article › peer-review

Abstract

A spectral integral representation is established for locally defined symmetric semigroups of operators, with indices which are not restricted to a neighborhood of zero. This extends the well-known results of Fröhlich (Adv. Appl. Math. 1:237-256, 1980) and Klein and Landau (J. Funct. Anal. 44:121-137, 1981).

Original language	English
Pages (from-to)	355-368
Number of pages	14
Journal	Semigroup Forum
Volume	79
Issue number	2
DOIs	https://doi.org/10.1007/s00233-009-9141-5
State	Published - Aug 2009
Externally published	Yes

Keywords

Local semigroups of operators
Selfadjoint operators

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s00233-009-9141-5

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doi = "10.1007/s00233-009-9141-5",

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AB - A spectral integral representation is established for locally defined symmetric semigroups of operators, with indices which are not restricted to a neighborhood of zero. This extends the well-known results of Fröhlich (Adv. Appl. Math. 1:237-256, 1980) and Klein and Landau (J. Funct. Anal. 44:121-137, 1981).

KW - Local semigroups of operators

KW - Selfadjoint operators

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JO - Semigroup Forum

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ER -

Spectral representation of local symmetric semigroups of operators

Abstract

Keywords

ASJC Scopus subject areas

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