CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION PRODUCT OVER WIENER PATHS IN ABSTRACT WIENER SPACE: AN LpTHEORY

DOI10.4134/JKMS.2004.41.2.265zbMath1040.28019MaRDI QIDQ4464081

Dong Hyun Cho

Publication date: 27 May 2004

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

zbMATH Keywords

Fourier-Feynman transformconvolution productWiener integralconditional analytic Feynman integralcylinder type function

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) 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 (2)

Conditional integral transforms and conditional convolution products on a function space ⋮ Analytic Feynman integrals of transforms of variation of cylinder type functions over Wiener paths in abstract Wiener space

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