Support properties of Gaussian processes over Schwartz space
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- by M. Ann Piech PDF
- Proc. Amer. Math. Soc. 53 (1975), 460-462 Request permission
Abstract:
We utilize the concept of an abstract Wiener space to prove a converse to a theorem of Minlos, thereby obtaining necessary and sufficient conditions for a Hilbert subspace of $\mathcal {S}’({{\text {R}}^d})$ to support a given Gaussian process over $\mathcal {S}({{\text {R}}^d})$.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 460-462
- MSC: Primary 60G15; Secondary 28A40, 81.60
- DOI: https://doi.org/10.1090/S0002-9939-1975-0391242-8
- MathSciNet review: 0391242