Analytic Feynman integral and a change of scale formula for Wiener integrals of an unbounded cylinder function

DOI10.1155/2020/2671474zbMath1453.28016OpenAlexW3093444890MaRDI QIDQ2222901

Kim Young Sik

Publication date: 27 January 2021

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/2671474

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

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• Behavior of the First Variation of Fourier Transform of a Measure on the Fourier Feynman Transform and Convolution
• Analytic Fourier-Feynman Transforms and Convolution
• A family of Wiener transforms associated with a pair of operators on Hilbert space
• The behavior of measure and measurability under change of scale in Wiener space
• Transformations of Wiener Integrals Under a General Class of Linear Transformations
• A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space. II.

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