engleski

Linear independence and sets of uniqueness

Consider the Bessel system of integer translates of a square integrable function. We show that l^{; ; ; ; p}; ; ; ; -linear independence of the system is equivalent to periodization function vanishing almost everywhere on a set which is an l^{; ; ; ; p}; ; ; ; -set of uniqueness, where p is between 1 and 2. General result, concerning no restriction on Bessel systems is then proved for the case p = 1.

l(p)-linear independence ; sets of uniqueness

nije evidentirano