# Algebraic aspects of the $L_2$ analytic Gaussian--Fourier--Feynman transform via Gaussian processes on Wiener space

@article{Chang2015AlgebraicAO, title={Algebraic aspects of the \$L\_2\$ analytic Gaussian--Fourier--Feynman transform via Gaussian processes on Wiener space}, author={Seung Jun Chang and Jae Gil Choi}, journal={arXiv: Probability}, year={2015} }

In this research, we investigate several rotation properties of the generalized Wiener integral with respect to Gaussian processes, which are then used to analyze an $L_2$ analytic Gaussian--Fourier--Feynman transform. Our results indicate that the $L_2$ analytic Gaussian--Fourier--Feynman transforms are linear operator isomorphisms from a Hilbert space into itself. We then proceed to investigate the algebraic structure of these generalized transforms and establish that two classes of the…

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