There were some promising attempts here in this forum to use symbolical functions numerically. But I guess none of the methods used will work in Prime as they all require a symbolic evaluation to be copied inside a program block which is not allowed in Prime.
But Delta(x) is (not a function but a distribution) which is defined to be zero for all x != 0 and the integral over Delta(x) from minus to pus infinity is 1.
The values of omega you use are all unequal to zero, so the easiest approach would be to replace Delta(omega) simply by 0 in your definition of F.
BTW, better post your worksheet, not just a picture. You may have to zip it before you are able to attach it here.

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