⧼exchistory⧽
4 exercise(s) shown, 0 hidden
Apr 21'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Clarify the proof of [math]\widehat{fg}=\widehat{f}*\widehat{g}[/math], say via Fourier inversion.

Apr 21'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Learn about the Plancherel formula, and Fourier over [math]L^2(\mathbb R)[/math].

Apr 21'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Learn about the Schwartz space [math]\mathcal S[/math], and Fourier over it.

Apr 21'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Further clarify the Fourier transforms over [math]\mathbb Z_N,\mathbb Z,\mathbb T,\mathbb R[/math].