40 citations · 489 across the 52 of their papers we have counts for
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Cancellation for the simplex Hilbert transform
Pavel Zorin-Kranich
We show that the truncated simplex Hilbert transform enjoys some cancellation in the sense that its norm grows sublinearly in the number of scales retained in the truncation. This…
Corners over quasirandom groups
Pavel Zorin-Kranich
Let be a finite -quasirandom group and a -dense subset. Then the density of the set of side lengths of corners \[ \{(a_{1},\dots,a_{k}),(ga_{1},a_{2…
Dyadic triangular Hilbert transform of two general and one not too general function
Vjekoslav Kovač, Christoph Thiele, Pavel Zorin-Kranich
The so-called triangular Hilbert transform is an elegant trilinear singular integral form which specializes to many well studied objects of harmonic analysis. We investigate …
A double return times theorem
Pavel Zorin-Kranich
We prove that for any bounded functions on a measure-preserving dynamical system and any distinct integers , for almost every the sequence $$ f_1(T…
A uniform nilsequence Wiener-Wintner theorem for bilinear ergodic averages
Pavel Zorin-Kranich
We show that a -linear pointwise ergodic theorem on an ergodic measure-preserving system implies a uniform -linear nilsequence Wiener-Wintner theorem on that system. The assu…