43 citations · 122 across the 29 of their papers we have counts for
36 papers
Homeomorphisms and Fourier expansion
Gady Kozma, Alexander Olevskii
We survey our recent result that for every continuous function there is an absolutely continuous homeomorphism such that the composition has a uniformly converging Fourier expansio…
Luzin's problem on Fourier convergence and homeomorphisms
Gady Kozma, Alexander Olevskii
We show that for every continuous function there exists an absolutely continuous homeomorphism of the circle such that the Fourier series of the composition converges uniformly. Th…
A set with no Riesz basis of exponentials
Gady Kozma, Shahaf Nitzan, Alexander Olevskii
We show that there exists a bounded subset of R such that no system of exponentials can be a Riesz basis for the corresponding Hilbert space. An additional result gives a lower bou…
Fourier quasicrystals with unit masses
Alexander Olevskii, Alexander Ulanovskii
Every set such that the sum of -measures sitting at the points of is a Fourier quasicrystal, is the zero set of an exponential polynomial with imaginary frequen…
A Simple Crystalline Measure
Alexander Olevskii, Alexander Ulanovskii
We prove that every pair of exponential polynomials with imaginary frequencies generates a Poisson-type formula.
On Szegö--Kolmogorov Prediction Theorem
Alexander Olevskii, Alexander Ulanovskii
The classical Szegö--Kolmogorov Prediction Theorem gives necessary and sufficient condition on a weight on the unite cirlce so that the exponentials with positive integer f…