As far as I understood, Jacobian transforms from one coordinate space to another (there are examples for Jacobian from cartesian to spherical so and so...). But Lorentz transform also do similar transformation from one coordinate space to another right? So, Jacobian is also a kind of Lorentz transform! Or else what is the physical difference?
Finally, I got confused with the Fourier transform as well! It also transform from one space to another!.
How can we explain the physical difference and physical usefulness of all these transforms? How we decide what transformation can be done in some physical situation? Can anyone please explain with physical example and comparing these three transformations?