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Shifting

I know about the the shifting property of the impulse function in the time domain as can be seen in the picture.

But what is the effect of multiplication of a function by the impulse function in the Frequency domain.

ie: X(W) = δ(w - w0)*H(w) = ?

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    $\begingroup$ I’m voting to close this question because while there might be electrical engineers around which have the knowledge to answer this question, it's a complete math question and should go to the correct SE site. $\endgroup$ – Arsenal Jun 5 '20 at 8:03
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    $\begingroup$ there is a signal processing SE, go and ask there $\endgroup$ – muyustan Jun 5 '20 at 8:21
  • $\begingroup$ Is there also an integral in the frequency domain? $\endgroup$ – Stefan Wyss Jun 5 '20 at 15:41
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    $\begingroup$ Does this answer your question? What is the Effect of Multiplying a Function by the Unit Impulse Function in the Frequency Domain? $\endgroup$ – DSP Rookie Jun 9 '20 at 8:21

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