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.
Збережено в:
| Опубліковано в: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2009 |
| ISSN: | 1815-0659 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149244 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862726715882602496 |
|---|---|
| author | Nowak, A. Stempak, K. |
| author_facet | Nowak, A. Stempak, K. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T18:59:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149244 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:59:19Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Imaginary Powers of the Dunkl Harmonic Oscillator Nowak, A. Stempak, K. |
| title | 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_short | Imaginary Powers of the Dunkl Harmonic Oscillator |
| title_sort | imaginary powers of the dunkl harmonic oscillator |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149244 |
| work_keys_str_mv | AT nowaka imaginarypowersofthedunklharmonicoscillator AT stempakk imaginarypowersofthedunklharmonicoscillator |