A Markov property for Gaussian processes with a multidimensional parameter

Agmon, S., Lectures on Elliptic Boundary Value Problems. Princeton: Von Nostrand 1965.Google Scholar

Aronszajn, N., Theory of reproducing kernels. Trans. Amer. Math. Soc. 68, 337–404 (1950).Google Scholar

Dolph, C. L., & M. A. Woodbury, On the relation between Green's functions and covariances of certain stochastic processes and its application to unbiased linear prediction. Trans. Amer. Math. Soc. 72, 519–550 (1952).Google Scholar

Doob, J. L., The elementary Gaussian processes. Annals. of Math. Stat. 15, 229–282 (1944).Google Scholar

Hida, T., Canonical representations of Gaussian processes and their applications. Mem. Coll Sci., U. of Kyoto, ser. A, Math. 33, 109–155 (1960).Google Scholar

Hunt, G. A., Martingales et Processus de Markov. Paris: Dunod 1966.Google Scholar

Levinson, N., & H. P., McKean Jr., Weighted Trigonometrical approximation on R¹ with application to the germ field of a stationary Gaussian noise. Acta Math. 112, 99–143 (1964).Google Scholar

McKean, H. P., Jr., Brownian motion with a several dimensional time. Theory Prob. Applications 8, 335–354 (1963).Google Scholar

Molchan, G. M., On some problems concerning Brownian motion in Lévy's sense. Theory Prob. Applications 12, 682–690 (1967).Google Scholar

Peetre, J., Rectification a l'article ≪Une caractérisation abstraite des opérateurs différentiels≫. Math. Scand. 8, 116–120 (1960).Google Scholar

Pitt, L., Some problems in the spectral theory of stationary processes on R _n(to appear).Google Scholar

Sirao, T., On the continuity of Brownian motion with a multidimensional parameter. Nagoya Math. Jour. 16, 135–156 (1960).Google Scholar

Sobolev, S. L., Applications of Functional Analysis in Mathematical Physics. [Trans. from the Russian by F. E. Browder]. Amer. Math. Soc. Providence (1963).Google Scholar