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Fourier transform of a holomorphic function

Question: Is there a simple method for calculating the Fourier transform of a holomorphic complex function ${f{{\left({z}\right)}}}:\Omega\to{\mathbb{{{C}}}}$? In order for my question to be well-pose …
Talmsmen's user avatar
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2 votes
1 answer
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Is the Fourier multiplier $\mathcal F(G(-\hbar^2 \Delta)\psi)(p) = G(|p|^2)\hat \psi(p)$ jus...

I am confused about a claim asserted in the paper "Higher Order Schrodinger Equations" published in IOP Science. The authors claim that a Fourier multiplier identity $$ \mathcal F(G(-\hbar^2 \Delta)\p …
Talmsmen's user avatar
  • 547