中国科学院研究生院学报
中國科學院研究生院學報
중국과학원연구생원학보
JOURNAL OF THE GRADUATE SCHOOL OF THE CHINESE ACADEMY OF SCIENCES
2008年
1期
1-11
,共11页
唯一延拓性%表示公式%球面函数%四元Heisenberg群%次Laplace算子
唯一延拓性%錶示公式%毬麵函數%四元Heisenberg群%次Laplace算子
유일연탁성%표시공식%구면함수%사원Heisenberg군%차Laplace산자
unique continuation%representation formula%spherical function%quaternionic Heisenberg group%sub-Laplacian
建立了四元Heisenberg群上次Laplace算子的函数表示公式,并讨论了球面函数的性质,然后给出了带位势的次Laplace方程解的唯一延拓性结果.
建立瞭四元Heisenberg群上次Laplace算子的函數錶示公式,併討論瞭毬麵函數的性質,然後給齣瞭帶位勢的次Laplace方程解的唯一延拓性結果.
건립료사원Heisenberg군상차Laplace산자적함수표시공식,병토론료구면함수적성질,연후급출료대위세적차Laplace방정해적유일연탁성결과.
In this paper, representation formulas and properties for the sub-Laplacian on quaternionic Heisenberg groups are established and then some unique continuation results to solutions of sub-Laplace equations with potentials are given.
