Dear All, I'm computing multidimensional Fourier series of a function $f$ defined on $(0, L_1)\times(0, L_2)\times\cdots\times(0,L_d)$. The series reads
$f(\vec x)=\sum_{\vec k}\hat f(\vec k)\exp(\imath\vec k\cdot\vec x)$
where the sum is extended to all
$\vec k = \dfrac{2\pi a_1}{L_1}\vec e_1+\cdots+\dfrac{2\pi a_d}{L_d}\vec e_d\qquad(a_1, \ldots, a_d\in\mathbb Z).$
My question is: how do you call the set of the vectors $\vec k$. I think specialists in diffraction would call this set "reciprocal lattice"; how about mathematicians?
Thanks a lot in advance, Sebastien