One cannot hear the winding number

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119873We construct an example of two continuous maps f and g of the circle to itself with the same absolute value of the Fourier transform but with different winding numbers, answering a question of Brezis.19 pages, 1 figureClassical Analysis and ODEs42A16 (primary), 42A61 (secondary)One cannot hear the winding numbertext