It is easy to integrate the delta function of real variable. But when the argument of the delta function is complex, I get stuck. For example, how to calculate the integral below, where u is a complex constant:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int_{ - \infty }^{ + \infty } {f\left( x \right)\delta \left( {ux} \right){\text{d}}x} = ?

[/tex]

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# How to integrate the delta function of complex variable?

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