Representation of the Dirac Delta Function
Please see the attached file for the fully formatted problems.
Show that
is a representation of the Dirac S-function.
Discussion:
Let
and let f(x) be a function which is piecewise continuous on [?a, a], in particular,
(Dirac delta function)
one must show that
One way of doing this is to follow the approach used to obtain an analogous result in the process of establishing the validity of the Fourier series theorem, and then use the result that
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Solution Summary
A Fourier series theorem is used in a proof involving the Dirac delta function. The solution is well presented.
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