What is right definition?(adsbygoogle = window.adsbygoogle || []).push({});

[tex](f*g)(x)=\frac{1}{\sqrt{2\pi}}\int^{\infty}_{-\infty}f(x-\xi)g(\xi)d\xi[/tex]

or

[tex](f*g)(x)=\frac{1}{2\pi}\int^{\infty}_{-\infty}f(x-\xi)g(\xi)d\xi[/tex]

or

[tex](f*g)(x)=\int^{\infty}_{-\infty}f(x-\xi)g(\xi)d\xi[/tex]

this is for me huge problem. For example

[tex]f*\delta=f[/tex]

or

[tex]f*2\pi\delta=f[/tex]

or

[tex]f*\sqrt{2\pi}\delta=f[/tex]

?

?

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# What is right

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