Support properties of gaussian processes over schwartz space

M. Ann Piech

doi:10.1090/S0002-9939-1975-0391242-8

Support properties of gaussian processes over schwartz space

M. Ann Piech

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 S'(R) to support a given Gaussian process over S(R)a.

Original language	English
Pages (from-to)	460-462
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	53
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1975-0391242-8
State	Published - Dec 1975

Keywords

Abstract Wiener space
Free Boson field
Gaussian process
Schwartz space

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10.1090/S0002-9939-1975-0391242-8

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KW - Free Boson field

KW - Gaussian process

KW - Schwartz space

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Support properties of gaussian processes over schwartz space

Abstract

Keywords

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