Fourier integral expression problem

Generally, the formulas of Fourier transform and inverse transform are given in pairs. 1. If there is a coefficient 1/2*π before the forward transformation

, then there is no coefficient before the inverse transformation

. 2. If there is no coefficient before the forward transformation

, Then there is a coefficient 1/2*π3 before the inverse transformation

, and there are coefficients before the forward and inverse transformation

, both of which are 1/square root (2*π). It is just an expression. No, it has no impact on practical applications.