One cannot hear the winding number (Q2478593)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One cannot hear the winding number |
scientific article |
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One cannot hear the winding number (English)
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28 March 2008
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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)].}
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Fourier coefficients, Pauli partners, random Fourier series
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0.7364937
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