Product theorem - Fourier sequence transform

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On my book there is the following result:

$$z[n]=x[n]y[n]$$

$$Z(f)=T \int_{-1/2T}^{1/2T}{X(v)Y(v-f)dv}$$

I don't understand if ($*$=convolution):

$$Z(f)=TX(f)*Y(f)$$

or:

$$Z(f)=X(f)*Y(f)$$

Can you show me the right result please?

Thank you in advance.