About Band Limited up to Congruences Wavelets
نویسندگان
چکیده
If ψ is a BLc wavelet, a Chui-Shi family of redundant tight frames {Ψ(k); k ∈ Z} can be built. Its redundancy is studied through the subspaces of coefficients in l2(Z2). It will be proved that these subspaces converge to zero when ψ is a uniformly continuous wavelet. Also a Whittaker-ShannonKotel’nikov type sampling theorem will be given for discrete vector functions associated to Ψ(k). Even more, it will be proved that does not exist a Shannon type sampling result for modifications in the scaling parameter.
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