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• W2079680080 abstract "The generalized eigenfunction expansion theory of Zemanian for a differential operator with discrete spectrum is extended to an arbitrary self-adjoint operator on a separable Hilbert space. The extension of the operator to an appropriately defined space of distributions is shown to have a spectral resolution in that space and a functional calculus is developed. Applications to the solution of distributional initial-boundary value problems via semigroup theory are considered." @default.
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• W2079680080 date "1992-01-01" @default.
• W2079680080 modified "2023-09-24" @default.
• W2079680080 title "Spectral theory and functional calculus for operators on spaces of generalized functions" @default.
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• W2079680080 doi "https://doi.org/10.1016/0022-247x(92)90291-k" @default.
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