Generalized sampling expansion on lattices

The Papoulis Generalized Sampling Expansion (GSE) can be combined with Petersen-Middleton lattice sampling to obtain a GSE for n-dimensional bandlimited functions. Such expansions will be discussed for nonperiodic/periodic hybrids. The periodic and nonperiodic cases are incorporated as special cases. For a restrictive special case, a Parseval-like formula is proved for n-dimensional bandlimited functions sampled on periodic, nonuniform sample sets.