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).
- Local semigroups of operators
- Selfadjoint operators
ASJC Scopus subject areas
- Algebra and Number Theory