Question: Let (x) be any scaling function, (x) the corresponding mother wavelet and j,k (x) the wavelet descendants. Prove that (a) = . (b)

Let φ(x) be any scaling function, ω(x) the corresponding mother wavelet and ωj,k(x) the wavelet descendants. Prove that 

(a) ΙΙφΙΙ = ΙΙωΙΙ. 

(b) ΙΙωj,k ΙΙ = 2−j  ΙΙφΙΙ.

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