Talk:Hermitian wavelet

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You have to describe which kind of normalization you use for these wavelets. Is it the $$L^1(\mathbb{R})$$ normalization, i.e. $$1=\|\psi\|_1=\int_{\mathbb{R}} dt |\psi(t)|,$$ or the $$L^2(\mathbb{R})$$ normalization, i.e. $$1=\|\psi\|^2_2=\int_{\mathbb{R}} dt |\psi(t)|^2$$ ?

Is the "probabilists' Hermite polynomials" or the "physicists' Hermite polynomials" used? 155.245.44.87 (talk) 09:03, 16 October 2008 (UTC)


 * Which one is used is only defined by the starting point chosen, both are valid, but not interchangeable within a proof. WroscMPhys (talk) 22:35, 29 March 2024 (UTC)

I cannot seem to find any sort of mathematical object called a "perfector" anywhere on the internet. anyone else know about it? WroscMPhys (talk)  comment added 21:31, 29 March 2024 (UTC)

(Addition to above) I have since found a reference that contains related derivations of both continuous and discrete wavelet transforms and added in the admissibility condition which i believe is what could be meant by perfector? The page needs some work sorting out Discrete proof from continuous proof at the mo.--WroscMPhys (talk) 22:36, 29 March 2024 (UTC)