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using as is of finite support.
The summation in (8) actually occurs on a finite support.
If the signal has a finite support in time and approximately finite support in frequency, the above sums become finite.
Members of \(V(A)\) possessing a finite support are called symmetric.
Now take any (xin l_{Phi}) with finite support such that (Vert xVert _{Phi,p}=a).
Here the discrete analogue is derived to have a finite support.
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Let (mathrm{Alt}_f(mathbf{Z })) denote the group of permutations of finite supports of (mathbf{Z }) that are even on their support.
For any (0finite supports, (xin G_{Phi}), (Vert zVert _{Phi,p}=a), such that (d_{x,z}>d-varepsilon).
Denote by (mathrm{Sym}_f(S_n)) the group of permutations of (S_n) with finite supports, clearly a normal subgroup of (H_n), and set begin{aligned} A = left{ (t_1, ldots, t_n) in mathbf{Z }^n left| sum _{k=1}^n t_k = 0 right.
Signals in practice have finite supports and can be approximated as nearly band-limited signals, based on this in [13, 14] it is shown that a more appropriate basis for signal interpolation is the Prolate Spheroidal Wave or Slepian functions [15].
To obtain the POCS iterative solution, we consider that the signals of interest have a finite time support and an approximately finite frequency support.
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