Inequalities for Strongly Singular Convolution Operators
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A Class of Strongly Singular Radon Transforms on the Heisenberg Group
We primarily consider here the L mapping properties of a class of strongly singular Radon transforms on the Heisenberg group H; these are convolution operators on H with kernels of the form M(z, t) = K(z)δ0(t) where K is a strongly singular kernel on C . Our results are obtained by utilizing the group Fourier transform and uniform asymptotic forms for Laguerre functions due to Erdélyi. We also ...
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