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періодичних видань НАН України
періодичних видань НАН України
The Clifford Deformation of the Hermite Semigroup
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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| dc.contributor.author | De Bie, H. | |
| dc.contributor.author | Ørsted, B. | |
| dc.contributor.author | Somberg, P. | |
| dc.contributor.author | Souček, V. | |
| dc.date.accessioned | 2019-02-19T18:30:12Z | |
| dc.date.available | 2019-02-19T18:30:12Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | The Clifford Deformation of the Hermite Semigroup / H. De Bie, B. Ørsted, P. Somberg, V. Souček // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 29 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 33C52; 30G35; 43A32 | |
| dc.identifier.other | DOI: http://dx.doi.org/10.3842/SIGMA.2013.010 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149198 | |
| dc.description.abstract | This paper is a continuation of the paper [De Bie H., Ørsted B., Somberg P., Souček V., Trans. Amer. Math. Soc. 364 (2012), 3875–3902], investigating a natural radial deformation of the Fourier transform in the setting of Clifford analysis. At the same time, it gives extensions of many results obtained in [Ben Saïd S., Kobayashi T., Ørsted B., Compos. Math. 148 (2012), 1265–1336]. We establish the analogues of Bochner's formula and the Heisenberg uncertainty relation in the framework of the (holomorphic) Hermite semigroup, and also give a detailed analytic treatment of the series expansion of the associated integral transform. | uk_UA |
| dc.description.sponsorship | H. De Bie would like to thank E. Opdam and J. Stokman for valuable input and discussions during his visit to the Korteweg–de Vries Institute for Mathematics in Amsterdam. This visit was supported by a Postdoctoral Fellowship of the Research Foundation – Flanders (FWO). The last two authors would like to acknowledge support of the research grant GA CR P201/12/G028. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | The Clifford Deformation of the Hermite Semigroup | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
