Hello, can you suggest a good book reference to find this:(adsbygoogle = window.adsbygoogle || []).push({});

I have a 3D coordinate system where the axis are:

1) locally tangential to a spiral in the equatorial plane;

2) perpendicular to 1 in the equatorial plane;

3) colatitude.

The direction of axes 1 and 2 changes with position.

I need to do the Fourier transform of a quantity and it's convenient that the 3D scalar product in the exponential exp(i k x) has one axis parallel to axis 1.

How the scalar product in exp(i k x) for the Fourier transform is expressed in the coordinates 1-2-3?

How the volume element dk_x dk_y dk_z reads in the coordiantes 1-2-3?

Thanks

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# Fourier transform in curvilinear coordinates

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