International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli

International Tables for Crystallography (2010). Vol. B, ch. 1.3, p. 36   | 1 | 2 |

## Section 1.3.2.4.2.6. Reciprocity property

G. Bricognea

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#### 1.3.2.4.2.6. Reciprocity property

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In general, and are not summable, and hence cannot be further transformed; however, as they are essentially bounded, their products with the Gaussians are summable for all , and it can be shown thatwhere the limit is taken in the topology of the norm . Thus and are (in a sense) mutually inverse, which justifies the common practice of calling the `inverse Fourier transformation'.