Revisiting the Fourier transform on the Heisenberg group
A recent theorem of S. Alesker, S. Artstein-Avidan and V. Milman characterises the Fourier transform on Rn as essentially the only transform on the space of tempered distributions which interchanges convolutions and pointwise products. In this note we study the image of the Schwartz space on the Hei...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:113928 |
| Acceso en línea: | https://ddd.uab.cat/record/113928 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_58114_03 |
| Access Level: | acceso abierto |
| Palabra clave: | Heisenberg group Fourier transform Fourier-Weyl transform Schwartz class Heat kernel |
| Sumario: | A recent theorem of S. Alesker, S. Artstein-Avidan and V. Milman characterises the Fourier transform on Rn as essentially the only transform on the space of tempered distributions which interchanges convolutions and pointwise products. In this note we study the image of the Schwartz space on the Heisenberg group under the Fourier transform and obtain a similar characterisation for the Fourier transform on the Heisenberg group. |
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