source¶
Schröfl, M., & Floerchinger, S. source. Annales Henri Poincaré.
Cited by¶
1 citation across 1 artifact.
Domain-specific¶
- Minlos's theorem
- Minlos's theorem is an extension theorem for measures on infinite-dimensional topological vector spaces: a cylindrical measure on the continuous dual of a nuclear space extends to a Radon measure when its Fourier transform is continuous.
Supported in partVerified against the work's full text
Minlos' theorem is cited to justify a Gaussian measure with given covariance on a nuclear space, generalizing Bochner; no cylindrical-to-Radon extension is stated.
“That this is indeed the case for certain functionals onnuclear spaces is the content of Minlos’ theorem [160], which we shall briefly discuss in the following. Minlos’ Theorem is a generalization of Bochner’s Theorem [91, Thm. IX.9].”
- Minlos's theorem is an extension theorem for measures on infinite-dimensional topological vector spaces: a cylindrical measure on the continuous dual of a nuclear space extends to a Radon measure when its Fourier transform is continuous.
Verification¶
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