Poisson Summation Formula

- Mathematics & Logic -
Pure Mathematics Dictionary
The equality that relates the sum of a function sampled on a lattice in Euclidean space to the sum of its Fourier transform sampled on the dual lattice; commonly expressed for functions on R^n as sum_{m in Z^n} f(m) = sum_{k in Z^n} 36f(k), making a precise bridge between discrete sums and harmonic analysis.