Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 15 (1988) no. 1, pp. 99-113.
@article{ASNSP_1988_4_15_1_99_0,
     author = {Sj\"ogren, Peter},
     title = {Asymptotic behaviour of generalized {Poisson} integrals in rank one symmetric spaces and in trees},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {99--113},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 15},
     number = {1},
     year = {1988},
     mrnumber = {1001031},
     zbl = {0696.43008},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1988_4_15_1_99_0/}
}
TY  - JOUR
AU  - Sjögren, Peter
TI  - Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1988
SP  - 99
EP  - 113
VL  - 15
IS  - 1
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_1988_4_15_1_99_0/
LA  - en
ID  - ASNSP_1988_4_15_1_99_0
ER  - 
%0 Journal Article
%A Sjögren, Peter
%T Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1988
%P 99-113
%V 15
%N 1
%I Scuola normale superiore
%U http://www.numdam.org/item/ASNSP_1988_4_15_1_99_0/
%G en
%F ASNSP_1988_4_15_1_99_0
Sjögren, Peter. Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 15 (1988) no. 1, pp. 99-113. http://www.numdam.org/item/ASNSP_1988_4_15_1_99_0/

[1] E.P. Van Den Ban - H. Schlichtkrull, Asymptotic expansions and boundary values of eigenfunctions on Riemannian symmetric spaces. J. reine angew. Math. 380 (1987), pp. 108-165. | MR | Zbl

[2] A. Figà-Talamanca - M.A. Picardello, Harmonic analysis on free groups. Marcel Dekker, 1983. | MR | Zbl

[3] G.B. Folland - E.M. Stein, Hardy spaces on homogeneous groups. Princeton University Press, 1982. | MR | Zbl

[4] S. Helgason, A duality for symmetric spaces with applications to group representations II. Differential equations and eigenspace representations. Adv. in Math. 22 (1976), pp. 187-219. | MR | Zbl

[5] S. Helgason, Differential geometry, Lie groups, and symmetric spaces. Academic Press, 1978. | MR | Zbl

[6] S. Helgason, Groups and geometric analysis: Integral geometry, invariant differential operators, and spherical functions. Academic Press, 1984. | MR | Zbl

[7] A.W. Knapp - E.M. Stein, Intertwining operators for semisimple groups, II. Invent. Math. 60 (1980), pp. 9-84. | MR | Zbl

[8] A. Korányi - M.A. Picardello, Boundary behaviour of eigenfunctions of the Laplace operator on trees. Ann. Scuola Norm. Sup. Pisa, 13 (1986), pp. 389-399. | Numdam | MR | Zbl

[9] P. Sjögren, Convergence for the square root of the Poisson kernel. Pacific J. Math. 131 (1988), pp. 361-391. | MR | Zbl