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Generalized Gaussian estimates and riesz means of Schrödinger groups

Generalized Gaussian estimates and riesz means of Schrödinger groups

Abstract We show that generalized Gaussian estimates for selfadjoint semigroups ( e -tA ) t ∈ R + on L 2 imply L p boundedness of Riesz means and other regularizations of the Schrödinger group ( e itA ) t ∈ R . This generalizes results restricted to semigroups with …