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math.CA2022
Polynomial sequences in discrete nilpotent groups of step 2
Alexandru D. Ionescu, Akos Magyar, Mariusz Mirek +1
We discuss some of our work on averages along polynomial sequences in nilpotent groups of step 2. Our main results include boundedness of associated maximal functions and singular…
math.CA2012
Averages along polynomial sequences in discrete nilpotent groups: singular Radon transforms
Alexandru D. Ionescu, Akos Magyar, Stephen Wainger
We consider a class of operators defined by taking averages along polynomial sequences in discrete nilpotent groups. In this paper we prove boundedness of discrete singular R…