Some quantitative estimates for the nonlinear Fourier Transform

Autor: Mnatsakanyan, Gevorg
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: We retract the main theorem from the last versions since we have found a mistake. This paper was trying to quantify the methods used by Alexei Poltoratski to prove pointwise convergence of the non-linear Fourier transform. However, the latter also contains the same mistake. We leave the estimates that are still true in the form of Propositions.
Comment: main theorem retracted because of serious mistake; 33 pages
Databáze: arXiv