Abstract
In spectral theory of families of commuting self-adjoint operators (as in the theory of a single self-adjoint operator) one considers two kinds of problems: firstly, the study of their common spectral properties and secondly, the decomposition of H with respect to their common generalized eigenvectors. In what follows we study the classical spectral properties of countable families of commuting self-adjoint operators.KeywordsSpectral MeasureSpectral TypeGaussian MeasureCountable FamilySpectral TheoremThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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