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The author dedicates this paper to the memory of his wife Catherine. May she rest in peace.
Except for Theorem 3, which is now considerably improved, this paper is a portion of the author's doctoral dissertation at the University of Arizona, written under the direction of Professor P. K. Bhattacharya.
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Driscoll, M.F. The reproducing kernel Hilbert space structure of the sample paths of a Gaussian process. Z. Wahrscheinlichkeitstheorie verw Gebiete 26, 309–316 (1973). https://doi.org/10.1007/BF00534894
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DOI: https://doi.org/10.1007/BF00534894