2 papers
math.FA2026
Characterization of Integral Transforms for Hilbert Space-Valued Functions
Satyajyoti Achar, Ramesh Manna
The aim of this paper is to characterize the Fourier transform of functions taking values in a separable Hilbert space $\Hi$ and defined on locally compact abelian groups. Inspired…
math.CA2026
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 as, in essence, the unique transformation on the space o…