\(L^p\)-multipliers for the Hilbert space valued functions on the Heisenberg group (Q967590)

It is well-known that if \(m\) is an \(L^p\)-multiplier for the Fourier transform on \(\mathbb R^n\) \((1<p<\infty)\) then there exists a pseudomeasure \(\sigma\) such that \(T_mf=\sigma*f\). The authors discuss that similar results hold for the \(L^p\)-Fourier multipliers of \(\mathcal H\)-valued functions on the Heisenberg group, where \(\mathcal H\) is a separable Hilbert space.