On a measure in Wiener space and applications

DOI10.1090/S0002-9947-03-03190-8zbMath1042.28013OpenAlexW1888714886MaRDI QIDQ4804210

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Publication date: 10 April 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03190-8

zbMATH Keywords

Wiener measureFourier-Feynman transformscale-invariant measurability

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

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Cites Work

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• An \(L_2\) analytic Fourier-Feynman transform
• Scale-invariant measurability in Wiener space
• An \(L_p\) analytic Fourier-Feynman transform
• The translation pathology of Wiener space
• Families of Measures and Representations of Algebras of Operators
• The behavior of measure and measurability under change of scale in Wiener space

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