Electronic International Standard Serial Number (EISSN)
1793-690X
abstract
Let phi be a continuous function in L2(ℝ) such that the sequence {phi(t - n)}n∈ℤ is a frame sequence in L2(ℝ) and assume that the shift-invariant space V(phi) generated by phi has a multi-banded spectrum sigma(V). The main aim in this paper is to derive a multi-channel sampling theory for the shift-invariant space V(phi). By using a type of Fourier duality between the spaces V(phi) and L2[0, 2pi] we find necessary and sufficient conditions allowing us to obtain stable multi-channel sampling expansions in V(phi).