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 Mar 23 awarded Curious Mar 22 asked Inequality $abdc$ $\leq$ $3$ Jan 19 awarded Notable Question Dec 19 awarded Popular Question Jan 17 asked integer S transform Jan 14 revised integer transform added 9 characters in body Jan 13 asked integer transform Jan 13 comment integer transform Thanks for reply. I modified the questions to be more clear. Jan 13 revised integer transform added 19 characters in body Jan 13 awarded Editor Jan 13 revised integer transform added 19 characters in body Jan 12 asked integer transform Jan 12 comment reversible integer transform Thanks for clarifications. Jan 12 comment reversible integer transform 2*x'+y'=2*(x+(x-y))+y-(x-y)=2*x+x-y+y=3*x and 2*y'+x'=2*(y-(x-y))+x+(x-y)=2y-2x+2y+2x-y=3y. So the transform map integer pairs to integer pairs. Jan 12 awarded Student Jan 12 asked reversible integer transform Jan 12 comment Fourier transform in cylindrical coordinates $*$ is scalar product Jan 12 comment Fourier transform in cylindrical coordinates Thanks for information. I read again and I understood your response. The basic algorithm is: -transform Cartesian coordinates in cylindrical coordinates. In Matlab exist the function car2pol.For X,Y, Z vectors which represent Cartesian coordinates,it's necessary to obtain the cylindrical coordinates (ρ,ϕ,$v_z$). So we write:[ρ,ϕ,$v_z$]=car2pol(X,Y,Z).F is the vector with all values of f(ρ,ϕ,$v_z$). I apply fft to F: G=fft(f); Let be Polar_FFT polar fft function, where we suppose that is implemented. For having the final result I must write: $H=\text{Polar_FFT}(G*exp[−i2πv_ρρcos(v_ϕ−ϕ)])$? Jan 12 comment Fourier transform in cylindrical coordinates What is connection between $\widehat{f}(vρ,vϕ,vz)$ and $\overline{f}(ρ,ϕ,vz)$? Jan 11 comment Fourier transform in cylindrical coordinates Can you give me an example to verify the code?