# Power expansion of the Dirac Delta function?

1. Sep 10, 2010

### andresordonez

Hi, I hope this is the right place to ask this

Is it possible to expand the Dirac delta function in a power series?

$$\delta(x)=\sum a_n x^n$$

If so, what's the radius of convergence or how can I find it?

Thanks.

2. Sep 10, 2010

### mathman

No. A function can be represented by a power series in a neighborhood of 0 only if it is analytic there. The delta function is not analytic. It is (from a mathematics point of view) not even a function.

3. Sep 14, 2010

### andresordonez

Thanks

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