Multilinear Τ-Wigner Transform

Abstract

In this work, we introduce a τ-dependent multilinear Wigner transform W<inf>τ</inf>, τ∈ [0 , 1] d. It also includes various types of multilinear time-frequency representations, among the others the classical multilinear Wigner and Rihaczek representations and some properties of multilinear τ-Wigner transform. We then prove the boundedness properties of multilinear τ-Wigner transform both on products of Lebesgue spaces and on modified version of modulation spaces. © 2020, Springer Nature Switzerland AG.