The Clifford Deformation of the Hermite Semigroup
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Clifford Deformation of the Hermite Semigroup
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| Creator |
De Bie, H.
Ørsted, B. Somberg, P. Souček, V. |
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| Description |
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.
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| Date |
2019-02-19T18:30:12Z
2019-02-19T18:30:12Z 2013 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 33C52; 30G35; 43A32 DOI: http://dx.doi.org/10.3842/SIGMA.2013.010 http://dspace.nbuv.gov.ua/handle/123456789/149198 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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