Relationship To The Kronecker Delta
The Kronecker delta is the quantity defined by
for all integers i, j. This function then satisfies the following analog of the sifting property: if is any doubly infinite sequence, then
Similarly, for any real or complex valued continuous function ƒ on R, the Dirac delta satisfies the sifting property
This exhibits the Kronecker delta function as a discrete analog of the Dirac delta function.
Read more about this topic: Dirac Delta Function
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