Abstract
We consider the L2 mapping properties of a model class of strongly singular integral operators on the Heisenberg group Hn; these are convolution operators on Hn whose kernels are too singular at the origin to be of Calderon-Zygmund type. This strong singularity is compensated for by introducing a suitably large oscillation. Our results are obtained by utilizing the group Fourier transform and uniform asymptotic forms for Laguerre functions due to Erdelyi.
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