We comprehensively review several general methods and analytical tools used for causality evaluation of photonic materials. Our objective is to call to mind and then formulate, on a mathematically rigorous basis, a set of theorems which can answer th...
In this paper, I provide a Fubini theorem for the analytic Feynman integral (AFI) associated with Gaussian processes. I then proceed to represent the iterated AFI of bounded cylinder functionals on Wiener space as a single AFI.
In this study, we defined a kind of Fourier expansion of set-valued square-integrable functions. In fact, we have seen that the classical Fourier basis also constitutes a basis for the Hilbert quasilinear space