Restriction and spectral multiplier theorems on asymptotically conic manifolds

Abstract

The classical Stein-Tomas restriction theorem is equivalent to the fact that the spectral measure dE(λ) of the square root of the Laplacian on ℝn is bounded from Lp(ℝn) to Lp′(ℝn) for 1 ≤ p ≤ 2(n +1)/(n + 3), where p′ is the conjugate expon Show more