Liouville Theorem for Dunkl Polyharmonic Functions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Liouville Theorem for Dunkl Polyharmonic Functions
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| Creator |
Ren, G.
Liu, L. |
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| Description |
Assume that f is Dunkl polyharmonic in Rn (i.e. (Δh)p f = 0 for some integer p, where Δh is the Dunkl Laplacian associated to a root system R and to a multiplicity function κ, defined on R and invariant with respect to the finite Coxeter group). Necessary and successful condition that f is a polynomial of degree ≤ s for s ≥ 2p – 2 is proved. As a direct corollary, a Dunkl harmonic function bounded above or below is constant.
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| Date |
2019-02-19T12:47:17Z
2019-02-19T12:47:17Z 2008 |
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| Type |
Article
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| Identifier |
Liouville Theorem for Dunkl Polyharmonic Functions / G. Ren, L. Liu // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліор.: 17 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 33C52; 31A30; 35C10 http://dspace.nbuv.gov.ua/handle/123456789/148992 |
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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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