We show that there exists a frame wavelet $\psi$ with fast decay in the time domain and compact support in the frequency domain generating a
wavelet system whose canonical dual frame cannot be generated by an arbitrary
number of generators. On the other hand, there exists infinitely many
alternate duals of $\psi$ generated by a single function. Our argument
closes a gap in the original proof of this fact by Daubechies and Han
[Appl. Comp. Harmonic Anal. {\bf 12} (2002), no.~3, 269-285].
Series | MAT Report |
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Number | 2006-17 |
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