One cannot hear the winding number

• Autores: Jean Bourgain, Gady Kozma
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 9, Nº 4, 2007, págs. 637-658
• Idioma: inglés
• DOI: 10.4171/jems/91
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• Resumen

  • 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.