On the boundary behaviour of generalized poisson integrals on symmetric spaces
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On the boundary behaviour of generalized poisson integrals on symmetric spaces. / Schlichtkrull, Henrik.
I: Transactions of the American Mathematical Society, Bind 290, Nr. 1, 07.1985, s. 273-280.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - On the boundary behaviour of generalized poisson integrals on symmetric spaces
AU - Schlichtkrull, Henrik
PY - 1985/7
Y1 - 1985/7
N2 - On a Riemannian symmetric space X of the noncompact type we introduce a generalized Poisson transformation from functions on the minimal boundary to functions on the maximal compactification whose restrictions to X are eigenfunctions of the invariant differential operators. Some continuity- and “Fatou”-theorems are proved.
AB - On a Riemannian symmetric space X of the noncompact type we introduce a generalized Poisson transformation from functions on the minimal boundary to functions on the maximal compactification whose restrictions to X are eigenfunctions of the invariant differential operators. Some continuity- and “Fatou”-theorems are proved.
KW - Boundary
KW - Compactification
KW - Fatou theorem
KW - Poisson integral
KW - Symmetric space
UR - http://www.scopus.com/inward/record.url?scp=84967782950&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-1985-0787965-X
DO - 10.1090/S0002-9947-1985-0787965-X
M3 - Journal article
AN - SCOPUS:84967782950
VL - 290
SP - 273
EP - 280
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 1
ER -
ID: 304299234