Feynman diagrams and large order estimates for the exponential anharmonic oscillator
Feynman maps, Cameron-Martin formulae and anharmonic oscillators
Fourier analysis and paths of brownian motion
Fourier-Feynman transforms of unbounded functionals on abstract Wiener space
Huffman, Park and Skoug established several results involving Fourier-Feynman transform and convolution for functionals in a Banach algebra S on the classical Wiener space. Chang, Kim and Yoo extended these results to abstract Wiener space for a more generalized Fresnel class A1,A2 than the Fresnel class (B)which corresponds to the Banach algebra S. In this paper we study Fourier-Feynman transform, convolution and first variation of unbounded functionals on abstract Wiener space having the form...
Fundamental theorem of Wiener calculus.