DLMF:1.16.E36 (Q642)

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Language	Label	Description	Also known as
English	DLMF:1.16.E36	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left\langle\mathscr{F}\left(P(\mathbf{D})u\right)% ,\phi\right\rangle=\left\langle P_{-}\mathscr{F}\left(u\right),\phi\right% \rangle=\left\langle\mathscr{F}\left(u\right),P_{-}\phi\right\rangle,}}

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DLMF:1.16.E36

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Defining formula

{\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}

C1.S16.SS1.p5.m5andec

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Fourier transform of a tempered distribution

Defining formula

{\displaystyle{\displaystyle\mathscr{F}\left(\NVar{u}\right)}}

C1.S16.E35.m2aadec

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Defining formula

{\displaystyle{\displaystyle\phi(x_{1},x_{2},\dots,x_{n})}}

C1.S16.XMD13.m1gdec

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vector differential operator (locally)

Defining formula

{\displaystyle{\displaystyle\mathbf{D}}}

C1.S16.XMD16.m1ddec

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Defining formula

{\displaystyle{\displaystyle P}}

C1.S16.XMD17.m1ddec

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