Geodesic
On the Positive Definiteness of a Functional
Canadian mathematical bulletin, Tome 22 (1979) no. 2, pp. 203-206

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DOI

In this note, we have shown that the set of conditions given by Gel'fand and Vilenkin for the positive definiteness of a functional L(φ) [1, Theorem 7, p. 285] though sufficient is not necessary, thereby providing an answer to an open problem posed by them [1, Theorem 7, p. 285].
DOI : 10.4153/CMB-1979-027-4
Mots-clés : 46F10, 46E40, 60J30, Positive definite functional, positive definite function, Generalized Stochastic Process, Stochastic processes with independent values at every point 
Pandey, J. N. On the Positive Definiteness of a Functional. Canadian mathematical bulletin, Tome 22 (1979) no. 2, pp. 203-206. doi: 10.4153/CMB-1979-027-4
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