57 citations · 172 across the 24 of their papers we have counts for
Showing 2010 · math.CAShow all
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math.CA2010
A note on twisted discrete singular Radon transforms
Lillian B. Pierce
In this paper we consider three types of discrete operators stemming from singular Radon transforms. We first extend an result for translation invariant discrete singular…
math.CA2010
A note on discrete fractional integral operators on the Heisenberg group
Lillian B. Pierce
We consider the discrete analogue of a fractional integral operator on the Heisenberg group, for which we are able to prove nearly sharp results by means of a simple argument of a…
math.CA2010★ 1 cited
Discrete fractional Radon transforms and quadratic forms
Lillian B. Pierce
We consider discrete analogues of fractional Radon transforms involving integration over paraboloids defined by positive definite quadratic forms. We prove that such discrete opera…