Integral transforms on a function space with change of scales using multivariate normal distributions

DOI10.1155/2016/9235960zbMath1354.46046OpenAlexW2417996216WikidataQ59126589 ScholiaQ59126589MaRDI QIDQ301504

Dong Hyun Cho

Publication date: 30 June 2016

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/9235960

zbMATH Keywords

conditional Wiener integralsFeynman integrationgeneralized cylinder function

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (1)

A conditional Fourier-Feynman transform and conditional convolution product with change of scales on a function space. II

Cites Work

• Analogues of conditional Wiener integrals and their change of scale transformations on a function space
• Generalized Feynman integrals via conditional Feynman integrals
• A change of scale formula for Wiener integrals on abstract Wiener spaces
• Analogues of conditional Wiener integrals with drift and initial distribution on a function space
• A change of scale formula for Wiener integrals of unbounded functions
• The translation pathology of Wiener space
• CHANGE OF SCALE FORMULAS FOR CONDITIONAL WIENER INTEGRALS AS INTEGRAL TRANSFORMS OVER WIENER PATHS IN ABSTRACT WIENER SPACE
• AN ANALOGUE OF WIENER MEASURE AND ITS APPLICATIONS
• A CHANGE OF SCALE FORMULA FOR CONDITIONAL WIENER INTEGRALS ON CLASSICAL WIENER SPACE
• The behavior of measure and measurability under change of scale in Wiener space
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