123 citations · 651 across the 93 of their papers we have counts for
21 papers · 1 filter
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…
Cantor uniqueness and multiplicity along subsequences
Gady Kozma, Alexander Olevskii
We construct a trigonometric series converging to zero everywhere on a subsequence, with coefficients tending to zero. We show that any such series must satisfy that the subsequenc…
Combining Riesz bases in
Gady Kozma, Shahaf Nitzan
We prove that every finite union of rectangles in admits a Riesz basis of exponentials.
Singular distributions and symmetry of the spectrum
Gady Kozma, Alexander Olevskii
This is a survey of the "Fourier symmetry" of measures and distributions on the circle in relation with the size of their support. Mostly it is based on our paper arxiv:1004.3631 a…