table of Fourier transforms

Below are tables of Fourier transforms (http://planetmath.org/FourierTransform); one lists some of the common properties, and the other lists some common examples.

Properties

${{{{{{{}\\end{center}\\inner@par\\@@section{subsubsection}{S0.SS0.SSSx2}{}{}{}{Examples}%\\inner@par\\begin{center}\\begin{tabular}[]{|c|c|c|p{4cm}|c|}\\hline\\hline$f(t)$&%$\\mathcal{F}\\{f(t)\\}$&conditions&\\tabularcell@hbox{explanation}&derivation\\\\\\hline\\hline$\\delta(t)$&$1$&&\\tabularcell@hbox{Dirac delta function}&\\\\\\hline$1$&$2\\pi\\delta(s)$&&\\tabularcell@hbox{}&\\\\\\hline$e^{iat}$&$2\\pi\\delta(s-\\alpha)$&$a\\in\\mathbb{R}$&\\tabularcell@hbox{}&\\\\\\hline$\\cos(at)$&$\\pi(\\delta(s+a)+\\delta(s-a))$&$a\\in\\mathbb{R}$&%\\tabularcell@hbox{}&\\\\\\hline$\\sin(at)$&$i\\pi(\\delta(s+a)-\\delta(s-a))$&$a\\in\\mathbb{R}$&%\\tabularcell@hbox{}&\\\\\\hline\\inner@par}\\end{tabular}}$}\\end{center}\\begin{flushright}\\begin{tabular}%[]{|ll|}\\hline Title&table of Fourier transforms\\\\Canonical name&TableOfFourierTransforms\\\\Date of creation&2013-03-22 18:08:12\\\\Last modified on&2013-03-22 18:08:12\\\\Owner&CWoo (3771)\\\\Last modified by&CWoo (3771)\\\umerical id&7\\\\Author&CWoo (3771)\\\\Entry type&Feature\\\\Classification&msc 42A38\\\\Synonym&Groupoid Transforms\\\\Defines&Fourier-Stieltjes generalization of FT\\\\\\hline}\\end{tabular}}$}\\end{flushright}\\end{document}$

单词	TableOfFourierTransforms
释义	table of Fourier transforms Below are tables of Fourier transforms (http://planetmath.org/FourierTransform); one lists some of the common properties, and the other lists some common examples. Properties ${{{{{{{}\\end{center}\\inner@par\\@@section{subsubsection}{S0.SS0.SSSx2}{}{}{}{Examples}%\\inner@par\\begin{center}\\begin{tabular}[]{\|c\|c\|c\|p{4cm}\|c\|}\\hline\\hline$f(t)$&%$\\mathcal{F}\\{f(t)\\}$&conditions&\\tabularcell@hbox{explanation}&derivation\\\\\\hline\\hline$\\delta(t)$&$1$&&\\tabularcell@hbox{Dirac delta function}&\\\\\\hline$1$&$2\\pi\\delta(s)$&&\\tabularcell@hbox{}&\\\\\\hline$e^{iat}$&$2\\pi\\delta(s-\\alpha)$&$a\\in\\mathbb{R}$&\\tabularcell@hbox{}&\\\\\\hline$\\cos(at)$&$\\pi(\\delta(s+a)+\\delta(s-a))$&$a\\in\\mathbb{R}$&%\\tabularcell@hbox{}&\\\\\\hline$\\sin(at)$&$i\\pi(\\delta(s+a)-\\delta(s-a))$&$a\\in\\mathbb{R}$&%\\tabularcell@hbox{}&\\\\\\hline\\inner@par}\\end{tabular}}$}\\end{center}\\begin{flushright}\\begin{tabular}%[]{\|ll\|}\\hline Title&table of Fourier transforms\\\\Canonical name&TableOfFourierTransforms\\\\Date of creation&2013-03-22 18:08:12\\\\Last modified on&2013-03-22 18:08:12\\\\Owner&CWoo (3771)\\\\Last modified by&CWoo (3771)\\\umerical id&7\\\\Author&CWoo (3771)\\\\Entry type&Feature\\\\Classification&msc 42A38\\\\Synonym&Groupoid Transforms\\\\Defines&Fourier-Stieltjes generalization of FT\\\\\\hline}\\end{tabular}}$}\\end{flushright}\\end{document}$
随便看	mollifier MollweidesEquations Mollweide’s equations Moment moment MomentGeneratingFunction moment generating function MomentGeneratingFunctionOfTheSumOfIndependentRandomVariables moment generating function of the sum of independent random variables MomentumMap momentum map Monad monad MonadicAlgebra monadic algebra monic Monic1 Monodromy monodromy MonodromyGroup monodromy group MonodromyTheorem monodromy theorem Monoid monoid