Evaluating Finite Part Integrals With Fourier Analysis (Pre-print)

Finite part integrals are core to the theory of regularizations, vital for modern physics and analysis by assigning values to divergent expressions, but they tend to require polynomial divergence or a nice analytic continuation. This paper has the purpose to derive a simpler way to evaluate fp integrals with arbitrary asymptotic growth using tools and ideas from Fourier analysis applied to asymptotic growth.