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

dc.creator	Gayral, Victor
dc.creator	Gracia Bondía, José M.
dc.creator	Várilly Boyle, Joseph C.
dc.date.accessioned	2023-05-09T20:54:38Z
dc.date.available	2023-05-09T20:54:38Z
dc.date.issued	2008-04
dc.identifier.citation	https://ems.press/journals/jncg/articles/1466	es_ES
dc.identifier.issn	1661-6952
dc.identifier.issn	1661-6960
dc.identifier.uri	https://hdl.handle.net/10669/89212
dc.description.abstract	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.	es_ES
dc.language.iso	eng	es_ES
dc.source	Journal of Noncommutative Geometry, Vol.2, pp. 215-261	es_ES
dc.subject	cuantización de Moyal	es_ES
dc.subject	geometría no conmutativa	es_ES
dc.subject	transformada de Fourier	es_ES
dc.title	Fourier analysis on the affine group, quantization and noncompact Connes geometries	es_ES
dc.type	artículo original	es_ES
dc.identifier.doi	10.4171/JNCG/20
dc.description.procedence	UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática	es_ES