artículo científico
Fourier analysis on the affine group, quantization and noncompact Connes geometries
Fecha
2008-04Registro en:
1661-6952
1661-6960
10.4171/JNCG/20
Autor
Gayral, Victor
Gracia Bondía, José M.
Várilly Boyle, Joseph C.
Institución
Resumen
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.