Title:Characterizations of some types of linear independence of integer translates.
Abstract:Many properties of
the system of integer translates of a square integrable function
can be completely described by properties of a periodic function associated with
it, called the periodization function.
Systems of integer translates arise in the context of wavelet analysis and, more
generally, in the theory of shift invariant spaces.
We shall discuss various types
of linear independence of such systems and we shall give characterizations in terms
only of the properties of the periodization function.
