bennyzadir
				
				
			 
			
	
	
	
		
	
	
			
		
		
			
			
				
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How to prove that if $\varphi$ is the characteristic function of an integer valued distribution, then the probability mass function can be computed as
$ p(k) = \frac{1}{2\pi} \cdot \int^{\pi}_{-\pi} e^{-ikt}\varphi(t) dt \;,\forall k \in \mathbb{Z} $
I would be really grateful if you could help me.
				
			$ p(k) = \frac{1}{2\pi} \cdot \int^{\pi}_{-\pi} e^{-ikt}\varphi(t) dt \;,\forall k \in \mathbb{Z} $
I would be really grateful if you could help me.
 
 
		 
 
		