3 papers
math.PR2025
B-splines approximate the Gaussian density and Hermite functions in Schwartz seminorms
Maciej Rzeszut, Michał Wojciechowski
We prove that B-splines with knots satisfying assumptions of the Berry-Esseen Theorem, which correspond directly to the volumes of sections of the standard simplex, tend to the Gau…
math.FA2019
Hoeffding decomposition in spaces
Maciej Rzeszut, Michał Wojciechowski
The well known result of Bourgain and Kwapień states that the projection onto the subspace of the Hilbert space spanned by functions depende…
math.CA2015
Independent sums of and
Maciej Rzeszut, Michal Wojciechowski
We construct a new idempotent Fourier multiplier on the Hardy space on the bidisc, which could not be obtained by applying known one dimentional results. The main tool is a new $L^…