DLMF:1.16.E36 (Q642): Difference between revisions

@@ Property / Symbols used @@
+Q10905
@@ Property / Symbols used: Q10905 / rank @@
+Normal rank
@@ Property / Symbols used: Q10905 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}$ 
\intinnerprod{\NVar{\Lambda}}{\NVar{\phi}}
@@ Property / Symbols used: Q10905 / qualifier @@
+xml-id: C1.S16.SS1.p5.m5andec
@@ Property / Symbols used @@
+Fourier transform of a tempered distribution
@@ Property / Symbols used: Fourier transform of a tempered distribution / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\mathscr{F}\left(\NVar{u}\right)}}$ 
\Fouriertransdist@{\NVar{u}}
+xml-id: C1.S16.E35.m2aadec
@@ Property / Symbols used @@
+Q10912
@@ Property / Symbols used: Q10912 / rank @@
+Normal rank
@@ Property / Symbols used: Q10912 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\phi(x_{1},x_{2},\dots,x_{n})}}$ 
\phi(x_{1},x_{2},\dots,x_{n})
@@ Property / Symbols used: Q10912 / qualifier @@
+xml-id: C1.S16.XMD13.m1gdec
@@ Property / Symbols used @@
+vector differential operator (locally)
@@ Property / Symbols used: vector differential operator (locally) / rank @@
+Normal rank
@@ Property / Symbols used: vector differential operator (locally) / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathbf{D}}}$ 
\mathbf{D}
@@ Property / Symbols used: vector differential operator (locally) / qualifier @@
+xml-id: C1.S16.XMD16.m1ddec
@@ Property / Symbols used @@
+Q10913
@@ Property / Symbols used: Q10913 / rank @@
+Normal rank
@@ Property / Symbols used: Q10913 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle P}}$ 
P
@@ Property / Symbols used: Q10913 / qualifier @@
+xml-id: C1.S16.XMD17.m1ddec
@@ Property / Symbols used @@
+Q10909
@@ Property / Symbols used: Q10909 / rank @@
+Normal rank
@@ Property / Symbols used: Q10909 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle Df}}$ 
Df
@@ Property / Symbols used: Q10909 / qualifier @@
+xml-id: C1.S16.XMD6.m1kdec

DLMF:1.16.E36 (Q642): Difference between revisions

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

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

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

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

${\displaystyle{\displaystyle P}}$

${\displaystyle{\displaystyle Df}}$

Latest revision as of 16:39, 1 January 2020

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DLMF:1.16.E36 (Q642): Difference between revisions

⟨ Λ , ϕ ⟩ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}

ℱ ⁡ ( u ) distributional-Fourier-transform 𝑢 {\displaystyle{\displaystyle\mathscr{F}\left(\NVar{u}\right)}}

ϕ ⁢ ( x 1 , x 2 , … , x n ) italic-ϕ subscript 𝑥 1 subscript 𝑥 2 … subscript 𝑥 𝑛 {\displaystyle{\displaystyle\phi(x_{1},x_{2},\dots,x_{n})}}

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

P 𝑃 {\displaystyle{\displaystyle P}}

D ⁢ f 𝐷 𝑓 {\displaystyle{\displaystyle Df}}

Latest revision as of 16:39, 1 January 2020

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

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

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

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

${\displaystyle{\displaystyle P}}$

${\displaystyle{\displaystyle Df}}$