guest ::
| Home > Articles > Published articles > Revisiting the Fourier transform on the Heisenberg group |
| Home > Articles > Published articles > Revisiting the Fourier transform on the Heisenberg group |
| Date: | 2014 |
| Abstract: | 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. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | Heisenberg group ; Fourier transform ; Fourier-Weyl transform ; Schwartz class ; Heat kernel |
| Published in: | Publicacions matemàtiques, Vol. 58, Núm. 1 (2014) , p. 47-63, ISSN 2014-4350 |
