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It is well known that if m is an  Lp - multiplier for the Fourier transform on ℝn(1<p<∞) , then there exists a pseudomeasure σ such that Tmf  =σ*f. A similar result is proved for the group Fourier transform on the Heisenberg groupHn. Though this result is already known in generality for amenable groups, a simple proof is provided in this paper

journal of function spaces and applications/journal of function spaces and applications

A convolution type characterization for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>- multipliers for the Heisenberg group

A convolution type characterization forLp- multipliers for the Heisenberg group