H(e) is the frequency response of a discrete time LTI system and H1(e) is the frequency response of its inverse function. Then

1
H(e)H1(e) = 1
2
H(e)H1(e) = δ(ω)  
3
H(e) * H1(e) = 1
4
H(e) * H1 (e) = δ(ω)

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