A family of singular oscillatory integral operators and failure of weak amenability
A family of singular oscillatory integral operators and failure of weak amenability
A locally compact group G is said to be weakly amenable if the Fourier algebra A(G) admits completely bounded approximative units. New results concerning the family of semidirect products Gn = SL(2,ℝ) $\ltimes$ Hn, n ≥ 2, together with previously known results, are used to settle the question of weak …