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 Exp

 http://functions.wolfram.com/01.03.22.0010.01

 Input Form

 FourierTransform[E^(I a t), t, x] == Sqrt[2 Pi] DiracDelta[a + x] /; Element[a, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["FourierTransform", "[", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "a", " ", "t"]]], ",", "t", ",", "x"]], "]"]], "\[Equal]", RowBox[List[SqrtBox[RowBox[List["2", " ", "\[Pi]"]]], " ", RowBox[List["DiracDelta", "[", RowBox[List["a", "+", "x"]], "]"]]]]]], "/;", RowBox[List["a", "\[Element]", "Reals"]]]]]]

 MathML Form

 t [ a t ] ( x ) 2 π δ DiracDelta ( a + x ) /; a TagBox["\[DoubleStruckCapitalR]", Function[List[], Reals]] Condition FourierTransform a t t x 2 1 2 DiracDelta a x a [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["FourierTransform", "[", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "a_", " ", "t_"]]], ",", "t_", ",", "x_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SqrtBox[RowBox[List["2", " ", "\[Pi]"]]], " ", RowBox[List["DiracDelta", "[", RowBox[List["a", "+", "x"]], "]"]]]], "/;", RowBox[List["a", "\[Element]", "Reals"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2007-05-02