so I have a question concerning the continuous wavelet transform (please forgive me if this is something very simple however i couldn't seem to find any answer so far):
We know that for the Fourier transform $\mathcal{F}$, under appropriate assumptions on a function $f$, it follows that derivation is equal to multiplication in the sense:
$\mathcal{F}(\frac{d}{dx}f) \propto ix\mathcal{F}(f)$ What I was asking myself now is if there exist wavelets for which something similar holds using the continuous wavelet transform.
Any help would be much appreciated.