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BENEDICKS ’ THEOREM FOR THE HEISENBERG GROUP

By E. K. Narayanan, P. K. Ratnakumar and Communicated Michael T. Lacey

Abstract

Abstract. If an integrable function f on the Heisenberg group is supported on the set B × R where B ⊂ C n is compact and the group Fourier transform ˆf(λ) is a finite rank operator for all λ ∈ R \{0}, then f ≡ 0. 1

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.5195
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