UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, cilt.85, sa.1, ss.43-52, 2023 (SCI-Expanded)
One of the most popular families of time-frequency representations is the τ-Wigner transform. This paper is concerned with the boundedness of the τ-Wigner transform. Boundedness results for the τ-Wigner transform are obtained in both Hardy and BMO spaces. The Hardy and BMO-distance between two τ-Wigner transforms associated with different windows and different argument functions are then studied.