Back to Search
Start Over
Revisiting the Fourier transform on the Heisenberg group
- Source :
- Recercat: Dipósit de la Recerca de Catalunya, Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya), Recercat. Dipósit de la Recerca de Catalunya, instname, Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona, Publicacions Matemàtiques; Vol. 58, Núm. 1 (2014); p. 47-63
- Publication Year :
- 2021
-
Abstract
- A recent theorem of S. Alesker, S. Artstein-Avidan and V. Milman characterises the Fourier transform on R-n 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.
- Subjects :
- Mellin transform
Pure mathematics
General Mathematics
Mathematical analysis
Fourier inversion theorem
Heisenberg group
Fractional Fourier transform
Parseval's theorem
symbols.namesake
Discrete Fourier transform (general)
Fourier transform
Fourier-Weyl transform
Hartley transform
symbols
Mathematics::Metric Geometry
Schwartz class
Mathematics
Fourier transform on finite groups
Heat kernel
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Recercat: Dipósit de la Recerca de Catalunya, Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya), Recercat. Dipósit de la Recerca de Catalunya, instname, Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona, Publicacions Matemàtiques; Vol. 58, Núm. 1 (2014); p. 47-63
- Accession number :
- edsair.doi.dedup.....6ade0693412c7b5050ea08985b23acda