Does $\delta(x^n)$ make sense? I guess that naively we could define, for example for $n=2$: $$\delta(x^2)=\lim_{a\rightarrow0}\frac{1}{2|a|}(\delta(x-a)+\delta(x+a))$$
But it seems to me that it would make any integral diverges.
2026-04-05 14:55:40.1775400940
Meaning of $\delta(x^n)$
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