Fourier analysis on the affine group, quantization and noncompact Connes geometries
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| Autorzy: | , , |
|---|---|
| Format: | artículo original |
| Data wydania: | 2008 |
| Opis: | 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. |
| Kraj: | Kérwá |
| Instytucja: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Język: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/89212 |
| Dostęp online: | https://ems.press/journals/jncg/articles/1466 https://hdl.handle.net/10669/89212 |
| Słowo kluczowe: | cuantización de Moyal geometría no conmutativa transformada de Fourier |