- #1
fluidistic
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Homework Statement
Show the following identity (in the sense of distribution): [tex]g(\bold x)\delta (\bold x)=g(\bold 0) \delta (\bold x)[/tex] for a function g.
Homework Equations
No idea.
The Attempt at a Solution
I don't have a concrete idea about what a distribution is (It's an assignment in my electromagnetism course and we've not been introduced the required math so I guess I should search in books, but I don't know which ones and the article http://en.wikipedia.org/wiki/Distribution_(mathematics) in wikipedia doesn't seem easy to understand for me).
From the identity, I get the idea that [tex]\delta (\bold x)[/tex] is 0 everywhere except in [tex]\bold x=0[/tex] but I'm not sure and even if it were so, I don't really understand why the equality holds.
Any help is greatly appreciated.