Abstract
It is shown that the evaluation of hook spectra is limited towards small values of Nfl for all three presently known methods: the hook technique itself, the hook vernier and the phase method. Criteria are presented for calculating these limits. In an experimental test it is demonstrated that systematic errors do occur for small values of Nfl in the hook technique, as often supposed, but can be avoided by taking notice of the estimated limits or by using one of the alternative methods.

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