On the boundary behaviour of generalized poisson integrals on symmetric spaces

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

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

Harvard

Schlichtkrull, H 1985, 'On the boundary behaviour of generalized poisson integrals on symmetric spaces', Transactions of the American Mathematical Society, bind 290, nr. 1, s. 273-280. https://doi.org/10.1090/S0002-9947-1985-0787965-X

APA

Schlichtkrull, H. (1985). On the boundary behaviour of generalized poisson integrals on symmetric spaces. Transactions of the American Mathematical Society, 290(1), 273-280. https://doi.org/10.1090/S0002-9947-1985-0787965-X

Vancouver

Schlichtkrull H. On the boundary behaviour of generalized poisson integrals on symmetric spaces. Transactions of the American Mathematical Society. 1985 jul.;290(1):273-280. https://doi.org/10.1090/S0002-9947-1985-0787965-X

Author

Schlichtkrull, Henrik. / On the boundary behaviour of generalized poisson integrals on symmetric spaces. I: Transactions of the American Mathematical Society. 1985 ; Bind 290, Nr. 1. s. 273-280.

Bibtex

@article{d536a30c895e4b8d8cb12e479d5b2a5c,
title = "On the boundary behaviour of generalized poisson integrals on symmetric spaces",
abstract = "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.",
keywords = "Boundary, Compactification, Fatou theorem, Poisson integral, Symmetric space",
author = "Henrik Schlichtkrull",
year = "1985",
month = jul,
doi = "10.1090/S0002-9947-1985-0787965-X",
language = "English",
volume = "290",
pages = "273--280",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "1",

}

RIS

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