Formula:610

Digital Library of Mathematical Functions ID 1.16.E35

${\displaystyle{\displaystyle\left\langle\mathscr{F}\left(u\right),\phi\right\rangle=\left\langle u,\mathscr{F}(\phi)\right\rangle,}}$

Constraint(s)

${\displaystyle{\displaystyle\phi\in\mathcal{T}_{n}}}$

Symbols List

• ${\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right\rangle}}$:
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle\mathcal{T}}}$: space of test functions
• ${\displaystyle{\displaystyle\phi(x_{1},x_{2},\dots,x_{n})}}$: test function
• ${\displaystyle{\displaystyle\mathscr{F}(\phi)}}$: Fourier transform of a test function (locally)
 

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