Geodesic
Sample behavior and laws of large numbers for Gaussian random elements.
Georgian Mathematical Journal, Tome 10 (2003) no. 4, pp. 637-676.

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Keywords: almost sure convergence, Banach space, Gaussian measure, Gaussian random element, covariance operator, strong law of large numbers 
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     author = {Ergemlidze, Z. and Shangua, A. and Tarieladze, V.},
     title = {Sample behavior and laws of large numbers for {Gaussian} random elements.},
     journal = {Georgian Mathematical Journal},
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Ergemlidze, Z.; Shangua, A.; Tarieladze, V. Sample behavior and laws of large numbers for Gaussian random elements.. Georgian Mathematical Journal, Tome 10 (2003) no. 4, pp. 637-676. http://geodesic.mathdoc.fr/item/GMJ_2003__10_4_51136/