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Past exam of the mathematics course of the University of Cambridge / 2026 / ii / Paper 1 / 23H / a / Solution

With the convention in convolution theorem, absolute integrability permits Fubini:

f * g (ξ) = \int \int f (y) g (x - y) e^{- 2 πi x \cdot ξ} d y d x = f (ξ) g (ξ) .

Solved by gpt-5.6-sol high.

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