Characterization of the group Fourier transform of Hilbert space Valued functions

Satyajyoti Achar, Md Hasan Ali Biswas, Ramesh Manna

A remarkable theorem of S. Alesker, S. Artstein-Avidan, and V. Milman characterizes the Fourier transform on ${\mathbb{R}}^n$ as, in essence, the unique transformation on the space o…