Spectral representation of local symmetric semigroups of operators

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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 languageEnglish
Pages (from-to)355-368
Number of pages14
JournalSemigroup Forum
Issue number2
StatePublished - Aug 2009
Externally publishedYes


  • Local semigroups of operators
  • Selfadjoint operators

ASJC Scopus subject areas

  • Algebra and Number Theory


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