One cannot hear the winding number
type: Item
instance of: scholarly article
title: One cannot hear the winding number
zbMATH Open document ID: 1134.42301
DOI: 10.4171/JEMS/91
author: Gady Kozma
author: Jean Bourgain
published in: Journal of the European Mathematical Society (JEMS)
publication date: 2008-03-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0612192
full work available at URL: http://www.ems-ph.org/journals/show_abstract.php
review text: Summary: 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 Brézis [cf. \textit{J. Korevaar, Sel. Math., New Ser. 5, No. 1, 107--122 (1999; Zbl 0938.55005)].}
Mathematics Subject Classification ID: 42A16
Mathematics Subject Classification ID: 42A61
Mathematics Subject Classification ID: 37E10
Mathematics Subject Classification ID: 55M25
zbMATH DE Number: 5255310
zbMATH Keywords: Fourier coefficients, Pauli partners, random Fourier series
MaRDI profile type: Publication
arXiv ID: math/0612192
cites work: A boundary value problem related to the Ginzburg-Landau model
OpenAlex ID: W2073376308
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