Editing Hankel transform (section)

==Relation to the Fourier and Abel transforms==
The Hankel transform is one member of the [[Projection-slice theorem|FHA cycle]] of integral operators. In two dimensions, if we define {{mvar|A}} as the [[Abel transform]] operator, {{mvar|F}} as the [[Fourier transform]] operator, and {{mvar|H}} as the zeroth-order Hankel transform operator, then the special case of the [[projection-slice theorem]] for circularly symmetric functions states that

: <math>FA = H.</math>

In other words, applying the Abel transform to a 1-dimensional function and then applying the Fourier transform to that result is the same as applying the Hankel transform to that function. This concept can be extended to higher dimensions.