International
Tables for Crystallography Volume B Reciprocal space Edited by U. Shmueli © International Union of Crystallography 2010 
International Tables for Crystallography (2010). Vol. B, ch. 1.3, p. 40

The duality between differentiation and multiplication by a monomial extends from to by transposition:Analogous formulae hold for , with i replaced by −i.
The formulae expressing the duality between translation and phase shift, e.g.between a linear change of variable and its contragredient, e.g.are obtained similarly by transposition from the corresponding identities in . They give a transposition formula for an affine change of variables with nonsingular matrix A:with a similar result for , replacing −i by +i.
Conjugate symmetry is obtained similarly:with the same identities for .
The tensor product property also transposes to tempered distributions: if ,