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Felice Iandoli
Felice Iandoli
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I would like to know if there is an explicit expression for the Fourier transform of the following function: $$f(x)=\mathbb{1}_{(0,\infty)}e^{-r-ir^2},$$$$f(x)=\mathbb{1}_{(0,\infty)}e^{-x-ix^2},$$ or to know where I can find some techniques to have some asymptotical expansion of such Fourier transform.

I would like to know if there is an explicit expression for the Fourier transform of the following function: $$f(x)=\mathbb{1}_{(0,\infty)}e^{-r-ir^2},$$ or to know where I can find some techniques to have some asymptotical expansion of such Fourier transform.

I would like to know if there is an explicit expression for the Fourier transform of the following function: $$f(x)=\mathbb{1}_{(0,\infty)}e^{-x-ix^2},$$ or to know where I can find some techniques to have some asymptotical expansion of such Fourier transform.

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Felice Iandoli
Felice Iandoli
  • 403
  • 2
  • 8

Technical question about a Fourier transform

I would like to know if there is an explicit expression for the Fourier transform of the following function: $$f(x)=\mathbb{1}_{(0,\infty)}e^{-r-ir^2},$$ or to know where I can find some techniques to have some asymptotical expansion of such Fourier transform.