Frequency multiplier.

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What's the name of the mathmatical operation on which a pure sine function, or a Fourier series has the frequency multiplied by a constant "a", for example? "a" is a positive, non-zero, real number.

$$\sin (2* \pi * f) \to \sin (a* 2* \pi * f)$$

Also, what's the laplace transform of such operation?

Two good examples would be: a this pure sine wave video from YouTube, played at 2x speed. Also, a 33RPM record being played on 45RPM turntable.