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Questions about partial differential equations of parabolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
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Asking for reference about a relation related to Fourier transform
If $f_1,\ldots,f_n$ belong to the Schwarz space, Fourier inversion formula and Fourier-convolution properties yield
\begin{eqnarray*}
\int_{\xi_1+\cdots+\xi_n=0} \hat{f_1}(\xi_1) \cdots \hat{f_n}(\xi_ …