-dimensional Fourier Transform
It’s still the case that the complex conjugate of the integral is the integral of the complex conjugate, so when f(x) is real valued, Ff(−ξ) = Ff(ξ). Finally, evenness and oddness are defined exactly as in the one-dimensional case. That is: f(x) is even if f(−x) = f(x), or without writing the variables, if f− = f.
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