Recent questions in Raw Data

Jasmin Pineda 2022-06-16 Answered

In various applications where we are dealing with electromagnetic or acoustic waves, such as medical imaging, we use the space $L^{2}$ or the related Sobolev space $W^{1, 2}$ . I have never seen a reason given for this. Does anyone know why these spaces are preferred over say $L^{1}$ spaces?