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math.CA2026
Product-profile anti-concentration for block-structured multi-affine polynomials
Evgeny Abakumov, Omer Friedland, Yosef Yomdin
We establish product-profile anti-concentration, density, and Remez estimates for multi-affine polynomials on the cube. Let be uniformly distributed on , and let $P:[0…
math.CA2026
Invariant sets of the double Hilbert transform
Evgeny Abakumov, Komla Domelevo, Stefanie Petermichl +1
We present an example that shows that the double Hilbert transform $\H$ can have the characteristic function of an open set of finite measure in as a…