Characterizing the Fourier Transform by Phase and Amplitude Preserving Maps

S Kuwata - International Journal of Applied and Computational …, 2017 - Springer
It is shown that under the Fourier transform F: L^ 2 (R) → L^ 2 (R) F: L 2 (R)→ L 2 (R) of an
even or odd function φ: R → C φ: R→ C, the invariance of| φ|| φ| leads to the invariance or …