- #1

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

[tex] \delta(x)=\sum a_n x^n [/tex]

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

Thanks.

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- Thread starter andresordonez
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- #1

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

[tex] \delta(x)=\sum a_n x^n [/tex]

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

Thanks.

- #2

mathman

Science Advisor

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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.

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

[tex] \delta(x)=\sum a_n x^n [/tex]

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

Thanks.

- #3

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Thanks

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