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- W3099321908 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." @default.
- W3099321908 created "2020-11-23" @default.
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- W3099321908 date "2008-01-01" @default.
- W3099321908 modified "2023-10-17" @default.
- W3099321908 title "Fourier analysis on the affine group, quantization and noncompact Connes geometries" @default.
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- W3099321908 doi "https://doi.org/10.4171/jncg/20" @default.
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