A sequential analytic Feynman integral of functionals inL2(C0[0, T])

DOI10.1080/10652469.2011.606218zbMath1258.28010OpenAlexW2080216681MaRDI QIDQ3166771

Tuan, V. K., Hyun Soo Chung

Publication date: 15 October 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.606218

zbMATH Keywords

Wiener spaceFourier-Hermite functionala sequential Feynman integralcomplete orthonormal set

Mathematics Subject Classification ID

Brownian motion (60J65) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (4)

Analytic Feynman integrals of functionals in a Banach algebra involving the first variation ⋮ Some applications of the spectral theory for the integral transform involving the spectral representation ⋮ Some formulas for the generalized analytic Feynman integrals on the Wiener space ⋮ Double integral transforms and double convolution products of functionals on abstract Wiener space

Cites Work

• An \(L_2\) analytic Fourier-Feynman transform
• Scale-invariant measurability in Wiener space
• Convolution and Fourier-Feynman transforms
• Integral transforms of functionals in \(L_2(C_0[0,T)\)]
• Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• Analytic Fourier-Feynman Transforms and Convolution
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Convolution products, integral transforms and inverse integral transforms of functionals inL₂(C₀[0,T)]

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