The 3D Fourier transform of the function 1/r is indeed proportional to 1/(k^2), where r is the radial distance and k is the wave vector. This relationship is established in the context of Fourier analysis in three-dimensional space. The discussion highlights the need for clarity in distinguishing between 2D and 3D Fourier transforms, emphasizing the specific formula required for 3D applications.
PREREQUISITESMathematicians, physicists, and engineers who require a deep understanding of Fourier transforms in three-dimensional contexts, particularly in fields such as quantum mechanics and signal processing.