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Article Dans Une Revue Journal of Australian Mathematical Society Année : 2021

An uncertainty principle for solutions of the Schrödinger equation on H-type groups

Résumé

In this paper we consider uncertainty principles for solutions of certain PDEs on H-type groups. We first prove that, contrary to the euclidean setting, the heat kernel on H-type groups is not characterized as the only solution of the heat equation that has sharp decay at 2 different times. We then prove the analogue of Hardy's Uncertainty Principle for solutions of the Schrödinger equation with potential on H-type groups. This extends the free case considered by Ben Sa¨ıdSa¨ıd, Dogga and Thangavelu [BTD] and by Ludwig and Müller [LM].
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Dates et versions

hal-01901575 , version 1 (23-10-2018)
hal-01901575 , version 2 (12-01-2020)

Identifiants

Citer

Aingeru Fernandez-Bertolin, Philippe Jaming, Salvador Pérez-Esteva. An uncertainty principle for solutions of the Schrödinger equation on H-type groups. Journal of Australian Mathematical Society, 2021, 111, pp.1-16. ⟨10.1017/S1446788720000026⟩. ⟨hal-01901575v2⟩

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