I would estimate your help.

Thanks a lot.

Printable View

- December 6th 2012, 12:20 AMmbempeniGeneralized Functions
I would estimate your help.

Thanks a lot. - December 6th 2012, 09:02 PMchiroRe: Generalized Functions
Hey mbempeni.

What definition do you have of a generalized function? - December 11th 2012, 01:12 PMmbempeniRe: Generalized Functions
Thank you for your answer.

I mean**Dirac δ function** - December 11th 2012, 10:53 PMchiroRe: Generalized Functions
Can you use the limiting function of the normal distribution (as variance goes to zero) to prove this?

- December 12th 2012, 10:33 AMmbempeniRe: Generalized Functions
@chiro

Can you explain what you mean? Thanks for your interest! - December 12th 2012, 01:52 PMchiroRe: Generalized Functions
I mean the limiting formulation like these:

Dirac delta function - Wikipedia, the free encyclopedia

However I think a better way would be to use Laplace transforms to do this: have you used these before? - December 13th 2012, 07:39 AMmbempeniRe: Generalized Functions
No, I haven 't.

Could you help me to solve it? - December 13th 2012, 09:09 PMchiroRe: Generalized Functions
In laplace transforms you have the shift theorem which is referenced on the wiki site:

Laplace transform - Wikipedia, the free encyclopedia

Consider transforming both to Laplace space (frequency domain) and use the time-scaling and shift theorem to show that they are both equal Laplace transform functions.

Once you show that they are equal, then it follows that the functions are also equal.