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fourier transform e^{-x^2}

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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fourier transform e^−x²

Solution

√πe^−ω²4

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F{e^−x²}

Use Fourier Transform table: F{e^−αt²}=√πα e^−ω²4α, assuming α>0

F{e^−x²}=√π1 e^{−ω²4· 1}

=√π1 e^{−ω²4· 1}

Simplify √π1 e^{−ω²4· 1}: √πe^−ω²4

=√πe^−ω²4

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

fourier transform e^{-x^2}

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