mega-\omega)$`  then `$z(t)=e^{i\omega_o t}$` and

`\begin{align}
w(t,s) &=\frac{1}{2\pi} \int_{-\infty}^\infty  \Psi^*(s\omega) Z(\omega) e^{i\omega t} d\omega \\&=\frac{1}{2\pi} \int_{-\infty}^\infty  \Psi^*(s\omega) \left[2\pi\delta(\omega-\omega_o)\right] e^{i\omega t} d\omega= \Psi^*(s\omega_o) e^{i\omega_o t}.\end{align}`

We see how wavelet itself is imprinted onto the wavelet transform.

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#A Wavelet in Time
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