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arXiv 2006-11-09 0 views

A non standard approach of spectral theory of self-adjoint operators (generalized Gelfand eigenvectors)

Meziou, Fatma Karray

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Let u=∫₋∞⁺∞λdEλ be a self-adjoint operator in a Hilbert space H. Our purpose is to provide a non-standard description of the spectral family (Eλ) and the generalized Gelfand eigenvectors.

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