One cannot hear the winding number

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We 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 figure

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Classical Analysis and ODEs, 42A16 (primary), 42A61 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/119873

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612192
 http://arxiv.org/abs/math/0612192

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arXiv