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On a Class of Covariance Operators
Authors:Chantladze  T  Kandelaki  N
Abstract:This paper is the continuation of 1] in which complex symmetries of distributions and their covariance operators are investigated. Here we also study the most general quaternion symmetries of random vectors. Complete classification theorems on these symmetries are proved in terms of covariance operator spectra.
Keywords:Random vectors with values from a Hilbert space  covariance operator  proper covariances and distributions  Gaussian distributions  complex and quaternion Hilbert spaces
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