Truncation error and aliasing error for Whittaker-Shannon sampling expansion

Let B^p_Ω, ≤ p <; ∞, be the set of all bounded functions from L_p(R) which can be extended to entire functions of exponential type Ω. The uniform bounds for truncation error of Shannon expansion based on local sampling are derived for functions f ∈ B^p_Ω without decay assumption. Then we obtain the uniform bounds of aliasing error and truncation error for non-bandlimited functions from Sobolev classes.