DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kim, Hong-Oh | - |
dc.contributor.advisor | 김홍오 | - |
dc.contributor.author | Lee, Gu-Hwan | - |
dc.contributor.author | 이구환 | - |
dc.date.accessioned | 2011-12-14T04:58:16Z | - |
dc.date.available | 2011-12-14T04:58:16Z | - |
dc.date.issued | 1988 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=66089&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42312 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 응용수학과, 1988.2, [ [ii], 32, [2] p. ; ] | - |
dc.description.abstract | The differential operator $L_{pq}$ is defined by $(L_{pq}y)(t) = 4(1-t) (t(1-t)y^```` + (p+q+n-(p+q+1)t]y^``-pqy), p, q=0,1,2, …. The eigenfunctions of $L_{pq}$ constitute the radial parts of the base functions of -subspaces of the eigenspaces of the invariant Laplacian $\overline{Δ}$. For certain eigenvalue (4m(m+n), m=0,1,2, …), p and q, we find the eigenfunctions of $L_{pq}$ explicitly and for n=2, we find a base functions of the space of all homogeneous harmonic polynomial of bidegree(p,q). These results applied to get a base functions of certain M-spaces. We also give some relations between some M-spaces in the eigenspaces of the invariant Laplacian and certain spaces of potentials. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.title | Eigenspaces of the invariant laplacian in the unit ball of $C^n$ | - |
dc.title.alternative | 단위 구 상의 불변 laplace 연산자의 고유공간 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 66089/325007 | - |
dc.description.department | 한국과학기술원 : 응용수학과, | - |
dc.identifier.uid | 000861291 | - |
dc.contributor.localauthor | Kim, Hong-Oh | - |
dc.contributor.localauthor | 김홍오 | - |
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