Perturbation of nonharmonic Fourier series and nonuniform sampling theorem

초록

For an entire function f whose Fourier transform has a compact support confined to [-pi,pi] and restriction to R belongs to L-2(R), we derive a nonuniform sampling theorem of Lagrange interpolation type with sampling points lambda(n) epsilon R, n epsilon Z, under the condition that limsup(n ->infinity) vertical bar lambda(n) - n vertical bar < 1/4.

키워드