- #1
eljose
- 492
- 0
let be the function w(x) that only takes discrete values in the sense that is only defined for x=n being n an integer..then my question is if the integral:
[tex]\int_{-\infty}^{\infty}dxw(x)f(x)[/tex]
would be equal to the sum of the serie:
[tex]\sum_{n=-\infty}^{\infty}w(n)f(n) [/tex]
if the sum and integral would be equal imply that the function
[tex]w(x)=g(x)\sum_{-\infty}^{\infty}\delta(x-n) [/tex]
thanks...
[tex]\int_{-\infty}^{\infty}dxw(x)f(x)[/tex]
would be equal to the sum of the serie:
[tex]\sum_{n=-\infty}^{\infty}w(n)f(n) [/tex]
if the sum and integral would be equal imply that the function
[tex]w(x)=g(x)\sum_{-\infty}^{\infty}\delta(x-n) [/tex]
thanks...
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