Random Homeomorphisms and Fourier Expansions

Geometric and Functional Analysis - Tập 8 - Trang 1016-1042 - 1998
G. Kozma1, A. Olevskii1
1School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel, e-mail: [email protected], [email protected], , IL

Tóm tắt

We prove that a random change of variable in general improves convergence properties of the Fourier expansions, and we give a precise quantitative estimate of the phenomenon.