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December 25, 1982Open Access

The nonlinear transformation of Gaussian measure on Banach space and absolute continuity (I)

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Key Points

This research aims to investigate how Gaussian measures transform in Banach space and their absolute continuity.
Focus on the mathematical framework of Gaussian measures in Banach spaces.
Analysis of properties of absolute continuity in this context.
Discussion of implications for digital collections and resource preservation.
Establishes the relationship between Gaussian measures and their transformations in Banach spaces.
Demonstrates conditions under which absolute continuity holds in these transformations.

Implication

Explores absolute continuity of Gaussian measure in Banach spaces, indicating implications for digital resource preservation.

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Cite This Study

Shigeo Kusuoka (1982) studied this question.

synapsesocial.com/papers/69cf58cb5a333a8214609b1e https://doi.org/10.15083/00039568

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Keep reading

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Remarks on hyperfunctions with analytic parameters IIOriginal Research · 1978
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3On continuation of regular solutions of partial differential equations to compact convex setsOriginal Research · 1970
4Uniform categoryOriginal Research · 1990
5Some inequalities for some increasing additive functionals of planar Brownian motion and an application to Nevanlinna theoryOriginal Research · 1990

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