DLMF:1.16.E35 (Q640): Difference between revisions

@@ Property / Symbols defined @@
+Fourier transform of a tempered distribution
@@ Property / Symbols defined: Fourier transform of a tempered distribution / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\phi\in\mathcal{T}_{n}}}$ 
\phi\in\mathcal{T}_{n}
+Normal rank
@@ 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.m5amdec
@@ Property / Symbols used @@
+Q10784
@@ Property / Symbols used: Q10784 / rank @@
+Normal rank
@@ Property / Symbols used: Q10784 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\in}}$ 
\in
@@ Property / Symbols used: Q10784 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r10.m2agdec
@@ Property / Symbols used @@
+Q10757
@@ Property / Symbols used: Q10757 / rank @@
+Normal rank
@@ Property / Symbols used: Q10757 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q10757 / qualifier @@
+xml-id: C1.S1.XMD7.m1qdec
@@ Property / Symbols used @@
+Q10914
@@ Property / Symbols used: Q10914 / rank @@
+Normal rank
@@ Property / Symbols used: Q10914 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathcal{T}}}$ 
\mathcal{T}
@@ Property / Symbols used: Q10914 / qualifier @@
+xml-id: C1.S16.XMD12.m1dec
@@ 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.m1fdec
@@ Property / Symbols used @@
+Fourier transform of a test function (locally)
@@ Property / Symbols used: Fourier transform of a test function (locally) / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\mathscr{F}(\phi)}}$ 
\mathscr{F}(\phi)
+xml-id: C1.S16.XMD15.m1cdec

DLMF:1.16.E35 (Q640): Difference between revisions

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

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

${\displaystyle{\displaystyle\in}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle\mathcal{T}}}$

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

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

Latest revision as of 16:39, 1 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Navigation menu

DLMF:1.16.E35 (Q640): Difference between revisions

ϕ ∈ 𝒯 n italic-ϕ subscript 𝒯 𝑛 {\displaystyle{\displaystyle\phi\in\mathcal{T}_{n}}}

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

∈ {\displaystyle{\displaystyle\in}}

n 𝑛 {\displaystyle{\displaystyle n}}

𝒯 𝒯 {\displaystyle{\displaystyle\mathcal{T}}}

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})}}

ℱ ⁢ ( ϕ ) ℱ italic-ϕ {\displaystyle{\displaystyle\mathscr{F}(\phi)}}

Latest revision as of 16:39, 1 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Navigation menu

Search

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

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

${\displaystyle{\displaystyle\in}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle\mathcal{T}}}$

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

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