Fourier analysis on the affine group, quantization and noncompact Connes geometries

 

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Bibliografische gegevens
Auteurs: Gayral, Victor, Gracia Bondía, José M., Várilly Boyle, Joseph C.
Formaat: artículo original
Publicatiedatum:2008
Omschrijving:We find the Stratonovich-Weyl quantizer for the nonunimodular affine group of the line. A noncommutative product of functions on the half-plane, underlying a noncompact spectral triple in the sense of Connes, is obtained from it. The corresponding Wigner functions reproduce the time-frequency distributions of signal processing. The same construction leads to scalar Fourier transformations on the affine group, simplifying and extending the Fourier transformation proposed by Kirillov.
Land:Kérwá
Instelling:Universidad de Costa Rica
Repositorio:Kérwá
Taal:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/89212
Online toegang:https://ems.press/journals/jncg/articles/1466
https://hdl.handle.net/10669/89212
Keyword:cuantización de Moyal
geometría no conmutativa
transformada de Fourier