Imaginary Powers of the Dunkl Harmonic Oscillator
In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z₂d. We prove that imaginary powers of this operator are bounded on Lp, 1 < p < ∞, and from L¹ into weak L¹.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2009 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149244 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Imaginary Powers of the Dunkl Harmonic Oscillator / A. Nowak, K. Stempak // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-149244 |
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Nowak, A. Stempak, K. 2019-02-19T19:17:31Z 2019-02-19T19:17:31Z 2009 Imaginary Powers of the Dunkl Harmonic Oscillator / A. Nowak, K. Stempak // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 15 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 42C10; 42C20 https://nasplib.isofts.kiev.ua/handle/123456789/149244 In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z₂d. We prove that imaginary powers of this operator are bounded on Lp, 1 < p < ∞, and from L¹ into weak L¹. This paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Imaginary Powers of the Dunkl Harmonic Oscillator Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Imaginary Powers of the Dunkl Harmonic Oscillator |
| spellingShingle |
Imaginary Powers of the Dunkl Harmonic Oscillator Nowak, A. Stempak, K. |
| title_short |
Imaginary Powers of the Dunkl Harmonic Oscillator |
| title_full |
Imaginary Powers of the Dunkl Harmonic Oscillator |
| title_fullStr |
Imaginary Powers of the Dunkl Harmonic Oscillator |
| title_full_unstemmed |
Imaginary Powers of the Dunkl Harmonic Oscillator |
| title_sort |
imaginary powers of the dunkl harmonic oscillator |
| author |
Nowak, A. Stempak, K. |
| author_facet |
Nowak, A. Stempak, K. |
| publishDate |
2009 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z₂d. We prove that imaginary powers of this operator are bounded on Lp, 1 < p < ∞, and from L¹ into weak L¹.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149244 |
| citation_txt |
Imaginary Powers of the Dunkl Harmonic Oscillator / A. Nowak, K. Stempak // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 15 назв. — англ. |
| work_keys_str_mv |
AT nowaka imaginarypowersofthedunklharmonicoscillator AT stempakk imaginarypowersofthedunklharmonicoscillator |
| first_indexed |
2025-12-07T18:59:19Z |
| last_indexed |
2025-12-07T18:59:19Z |
| _version_ |
1850877106770149376 |