3 papers
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…
math.FA2025
Modulation spaces on the Heisenberg group
Md Hasan Ali Biswas, Sundaram Thangavelu
In this article we show how certain irreducible unitary representation of the twisted Heisenberg group $ \He_λ^n(\C)$ leads to the twisted modulation spaces $ M_λ^{p,q}(\R^{…
math.FA2022
The system of translates and the special affine Fourier transform
Md Hasan Ali Biswas, Frank Filbir, Radha Ramakrishnan
The translation operator associated with the special affine Fourier transform (SAFT) is introduced from harmonic analysis point of view. The analogues of Wend…