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Variations on a theorem of Cowling and Price with applications to nilpotent Lie groups

  • S. Parui (a1) and S. Thangavelu (a2)

Abstract

In this paper we prove a new version of the Cowling-Price theorem for Fourier transforms on Rn. Using this we formulate and prove an uncertainty principle for operators. This leads to an analogue of the Cowling-Price theorem for nilpotent Lie groups. We also prove an exact analogue of the Cowling-Price theorem for the Heisenberg group.

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