I would  like to calculate the Fourier transform of  Sinc[ b (\[Omega]1 - \[Omega]2)], but there are some problems as follows:

        Assuming[{b \[Element] Reals}, FourierTransform[  Sinc[b (\[Omega]1 - \[Omega]2)], {\[Omega]1, \[Omega]2}, {t1, t2}, \!\(TraditionalForm\`FourierParameters -> {1, \(-1\)}\)]]


[![enter image description here][1]][1]

Any comment or suggestion are highly appreciated. 

 
        FourierTransform[ Sinc[\[Omega]1 - \[Omega]2], {\[Omega]1, \[Omega]2}, {t1,   t2}, \!\(TraditionalForm\`FourierParameters -> {1, \(-1\)}\)]

        FourierTransform[ Sinc[b \[Omega]], {\[Omega]}, {t}, \!\(TraditionalForm\`FourierParameters -> {1, \(-1\)}\)]



  [1]: https://i.sstatic.net/w8vZr.jpg