Measure, Integration & Real Analysis · Problem 11C.21

Probability Measures — Sheldon Axler

Mathematics — Measure Theory · fourier-transform-product-L2

Problem

Prove that if f,g∈L2(R)f, g \in L^2(\mathbf{R}), then fg^=(Ff)∗(Fg)\widehat{fg} = (\mathcal{F}f) * (\mathcal{F}g).

Related theory

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