@@ 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.m2ajdec
@@ Property / Symbols used @@
+imaginary unit
@@ Property / Symbols used: imaginary unit / rank @@
+Normal rank
@@ Property / Symbols used: imaginary unit / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{i}}}$ 
\iunit
@@ Property / Symbols used: imaginary unit / qualifier @@
+xml-id: C1.S9.E1.m2ajdec
@@ Property / Symbols used @@
+Cauchy principal value
@@ Property / Symbols used: Cauchy principal value / rank @@
+Normal rank
@@ Property / Symbols used: Cauchy principal value / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}$ 
\pvint_{\NVar{a}}^{\NVar{b}}
@@ Property / Symbols used: Cauchy principal value / qualifier @@
+xml-id: C1.S4.E24.m2adec
@@ Property / Symbols used @@
+Q10897
@@ Property / Symbols used: Q10897 / rank @@
+Normal rank
@@ Property / Symbols used: Q10897 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}$ 
\sign@@{\NVar{x}}
@@ Property / Symbols used: Q10897 / qualifier @@
+xml-id: introduction.Sx4.p2.t1.r18.m6aedec
@@ Property / Symbols used @@
+Q10910
@@ Property / Symbols used: Q10910 / rank @@
+Normal rank
@@ Property / Symbols used: Q10910 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\phi(x)}}$ 
\phi(x)
@@ Property / Symbols used: Q10910 / qualifier @@
+xml-id: C1.S16.XMD7.m1ddec

DLMF:1.16.E49 (Q657): Difference between revisions

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

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

⨍ a b superscript subscript principal-value-integral 𝑎 𝑏 {\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}

sign ⁡ x sign 𝑥 {\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}

ϕ ⁢ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}

Latest revision as of 16:41, 1 January 2020

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

${\displaystyle{\displaystyle\mathrm{i}}}$

${\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}$

${\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}$

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