Article | REF: AF145 V1

Distributions - Convolution and Fourier transform

Author: Michel DOISY

Publication date: April 10, 2005, Review date: April 26, 2021

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2. Convolution product of distributions

2.1 Tensor product of distributions

If f and g are two functions of in , we define their tensor product as the function of two variables :

f Ä g(x, y) = f (x)g(y)

Using Fubini's theorem, we verify that if f and g are locally integrable on , then f...

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Convolution product of distributions