fourier transform of Dirac delta function

Questions
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1

Wolfram alpha says:

fourier transorm(dirac delta function(x-1)) ~ exp(i*w)

Delta Function -- from Wolfram MathWorld says:

fourier transorm(dirac delta function(x-1)) ~ exp(-i*w)

Is it a bug in wolfram alpha?

2

I think this is just an convention issue. see: Fourier Transform -- from Wolfram MathWorld. You can use the FourierParameter option to get different versions of result.