DLMF:1.16.E41 (Q649): Difference between revisions

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Latest revision as of 16:40, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:1.16.E41	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left\langle\mathscr{F}\left(1\right),\phi\right% \rangle=\sqrt{2\pi}\left\langle\mathscr{F}\left(\mathscr{F}\left(\delta\right)% \right),\phi\right\rangle=\sqrt{2\pi}\left\langle\mathscr{F}\left(\delta\right% ),\mathscr{F}(\phi)\right\rangle=\sqrt{2\pi}\left\langle\delta,\mathscr{F}(% \mathscr{F}(\phi))\right\rangle=\sqrt{2\pi}\left\langle\delta,\phi_{-}\right% \rangle=\sqrt{2\pi}\phi(0),}}

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DLMF:1.16.E41

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle\delta_{x}}}

C1.S16.SS3.m1ahdec

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Defining formula

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

C1.S16.SS1.p5.m5aqdec

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Fourier transform of a tempered distribution

Defining formula

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

C1.S16.E35.m2aedec

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Fourier transform of a test function (locally)

Defining formula

{\displaystyle{\displaystyle\mathscr{F}(\phi)}}

C1.S16.XMD15.m1edec

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Defining formula

{\displaystyle{\displaystyle\phi(x)}}

C1.S16.XMD7.m1cdec

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