Date: 07 Oct 2010

Weighted integrals of Wigner representations

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Abstract

We consider in this paper Wigner representations Wig τ depending on a parameter \({\tau\in[0,1]}\) as defined in Boggiatto et al. (Trans Am Math Soc 362:4955–4981, 2010). Integrating these forms with respect to the parameter τ against a weight function Φ we obtain a new class of time–frequency representations Wig Φ. We give basic properties of Wig Φ as subclasses of the general Cohen class.

The project is supported by WWS Projects of University of Turin, Italy.