Nonuniform Sampling Theorem for Non-decaying Signals in Mixed-Norm Spaces Lp→,1ω(Rd).

In this paper, combining the non-decaying properties with the mixed-norm properties, the revelent sampling problems are studied under the target space of L p → , 1 ω (R d) . Firstly, we will give a stability theorem for the shift-invariant subspace V p → , 1 ω (φ) . Secondly, an ideal sampling in W p → , 1 ω s (R d) is proved, and thirdly, a convergence theorem (or algorithm) is shown for V p → , 1 ω (φ) . It should be pointed out that the auxiliary function φ enjoys the membership in a Wiener amalgam space. [ABSTRACT FROM AUTHOR]