Fourier-Feynman transforms and the first variation

DOI10.1007/BF02844368zbMath0907.28008MaRDI QIDQ1265435

D. A. Storvick, Chull Park, David Skoug

Publication date: 16 February 1999

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Wiener spaceanalytic Feynman integralsfirst variation of a functionalFourier-Feynman transforms

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) 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

• An \(L_2\) analytic Fourier-Feynman transform
• Scale-invariant measurability in Wiener space
• An \(L_p\) analytic Fourier-Feynman transform
• Relationships among the first variation, the convolution product, and the Fourier-Feynman transform
• Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
• Analytic Fourier-Feynman Transforms and Convolution
• The First Variation of an Indefinite Wiener Integral
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