Improving Fourier convergence with homeomorphisms

Improving Fourier convergence with homeomorphisms

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Gady Kozma, Weizmann Institute

The Pal-Bohr theorem states that for any continuous function f there exists some homeomorphism of the circle phi such that f(phi(x)) has a uniformly converging Fourier series. In the previous twenties, Luzin asked about several ways this result may be strengthened. We will discuss the recent resolution of one of Luzin's problems. Joint work with Alexander Olevskii.

Zoom link: https://princeton.zoom.us/j/92147928280

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