| dc.contributor.author | Signahl, Mikael | |
| dc.contributor.author | Toft, Joachim | |
| dc.date.accessioned | 2012-05-08T10:31:38Z | |
| dc.date.available | 2012-05-08T10:31:38Z | |
| dc.date.issued | 2012 | |
| dc.identifier.citation | Signahl, M., & Toft, J. (2012). Mapping properties for the Bargmann transform on modulation spaces. Journal of Pseudo-Differential Operators and Applications, 3(1), 1-30. doi: 10.1007/s11868-011-0039-0 | no_NO |
| dc.identifier.issn | 1662-9981 | |
| dc.identifier.uri | http://hdl.handle.net/11250/138177 | |
| dc.description | Published version of an article published in the journal: Journal of Pseudo-Differential Operators and Applications. Also available from the publisher at: http://dx.doi.org/10.1007/s11868-011-0039-0 | no_NO |
| dc.description.abstract | We investigate mapping properties for the Bargmann transform and prove that this transform is isometric and bijective from modulation spaces to convenient Banach spaces of analytic functions. We also present some consequences. For example we prove that the spectrum of the Harmonic oscillator is the same for all modulation spaces. | no_NO |
| dc.language.iso | eng | no_NO |
| dc.publisher | Springer | no_NO |
| dc.subject | bijectivity properties | no_NO |
| dc.subject | harmonic oscillator | no_NO |
| dc.subject | hermite functions | no_NO |
| dc.subject | Berezin–Toeplitz operators | no_NO |
| dc.title | Mapping properties for the Bargmann transform on modulation spaces | no_NO |
| dc.type | Journal article | no_NO |
| dc.type | Peer reviewed | no_NO |
| dc.subject.nsi | VDP::Mathematics and natural science: 400::Mathematics: 410 | no_NO |
| dc.source.pagenumber | 1-30 | no_NO |
| dc.source.volume | 3 | no_NO |
| dc.source.journal | Journal of Pseudo-Differential Operators and Applications | no_NO |
| dc.source.issue | 1 | no_NO |
