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

International Tables for Crystallography (2010). Vol. B, ch. 1.3, p. 35   | 1 | 2 |

## Section 1.3.2.4.2.4. Tensor product property

G. Bricognea

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#### 1.3.2.4.2.4. Tensor product property

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Another elementary property of is its naturality with respect to tensor products. Let and , and let denote the Fourier transformations in and , respectively. ThenFurthermore, if , then as a function of x and as a function of y, andThis is easily proved by using Fubini's theorem and the fact that , where , . This property may be written: