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A Bootstrap Proof of the Abstract Wiener Space Theorem for Fréchet Spaces

Luciano Tubaro

Source record

Source: arXiv

Published: Sep 3, 2026

arXiv: 2609.04446

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Source abstract

In this paper, we provide an alternative proof of a result due to Gross (1960s), extending it to the Fréchet space setting. Our argument adapts the proof technique developed by Bogachev in the Banach case, as presented in the monograph Gaussian Measures, to the more general framework of separable Fréchet spaces, simplifying several steps along the way.

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A Bootstrap Proof of the Abstract Wiener Space Theorem for Fréchet Spaces — Mathematical Frontier Network