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Les operateurs integraux dont le noyau est une covariance. (Integral operators, the kernels of which are covariances). (French) Zbl 0733.47030
Summary: In many fields: signal theory, economics, etc... where random functions are introduced, frequently and naturally we encounter integral operators whose kernels are covariances. Of course the most immediate properties of that particular kind of integral operators have already been published, this allows us to quote them without proofs. But these properties are scattered over, so we have thought if useful to present here a synthetic ordered, almost full account of them without pretending to originality, however hoping that, on some points, we give complements and precise details.

MSC:
47B38 Linear operators on function spaces (general)
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References:
[1] FORTET, R.M. (1980). Vecteurs et fonctions aléatoires dans un espace de Hilbert séparable. EnAspects statistiques et aspects physiques des processus gaussiens, Coll. Int. CNRS de Saint-Flour, 303
[2] FORTET, R.M. (1980). Sur une méthode de A. Papoulis pour l’extrapolation d’un signalAnn. Télecomm. 36, 413.
[3] FORTET, R.M. (1980) Harmonic analytic of random distributions. EnPrediction Theory and Harmonic Analysis, Amsterdam: North Holland. 66–11.
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