Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Liouville Theorem for Dunkl Polyharmonic Functions
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Liouville Theorem for Dunkl Polyharmonic Functions
Інший ID:
2000 Mathematics Subject Classification: 33C52; 31A30; 35C10
Посилання:
Liouville Theorem for Dunkl Polyharmonic Functions / G. Ren, L. Liu // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліор.: 17 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. The authors would like to thank the referees for their useful comments. The research is supported by the Unidade de Investiga¸c˜ao “Matem´atica e Aplica¸c˜oes” of University of Aveiro, and by the NNSF of China (No. 10771201), NCET-05-0539.
Дата:
2008
Переглядів:
438
Завантажень:
242
Анотація:
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.
