i need to know how to find the norm of the function f, which represents the sequence of wavelet coefficients of f(x) 1, 0<equal x < 1 o, otherwise where f exists in l^2.

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- Mar 29th 2009, 02:08 AMdutchchica22wavelets
i need to know how to find the norm of the function f, which represents the sequence of wavelet coefficients of f(x) 1, 0<equal x < 1 o, otherwise where f exists in l^2.

- Mar 29th 2009, 09:18 AMCaptainBlack
- Mar 29th 2009, 01:44 PMdutchchica22
consider the simple function f defined as f(x)= 1, o<equal x <1 and 0, otherwise. Write f prime to represent the sequence of wavelet coefficients, show that f exists in l^2. show that the norm of f = norm of f prime where the norm of the left is that of L^2(R) and the norm on the right is that of l^2.