Characterization of Self Dual Lattices in R, R₂and R₃

This paper shows that the only self dual lattices in R, R2, R3??are rotations of Z?, Z×Z?and Z×Z×Z.

Characterization of Periodic Eigenfunctions of the Fourier Transform Operator

We generalize this result to p1,p2-periodic eigenfunctions of F?on R2 and to p1,p2,p3-periodic eigenfunctions of F?on R3.