Boundary behaviour of eigenfunctions of the Laplace operator on trees
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Volume 13 (1986) no. 3, p. 389-399 
@article{ASNSP_1986_4_13_3_389_0,
     author = {Kor\'anyi, Adam and Picardello, Massimo A.},
     title = {Boundary behaviour of eigenfunctions of the Laplace operator on trees},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 13},
     number = {3},
     year = {1986},
     pages = {389-399},
     zbl = {0621.31005},
     mrnumber = {881098},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1986_4_13_3_389_0}
}

Korányi, Adam; Picardello, Massimo A. Boundary behaviour of eigenfunctions of the Laplace operator on trees. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Volume 13 (1986) no. 3, pp. 389-399. http://www.numdam.org/item/ASNSP_1986_4_13_3_389_0/

[1] P. Cartier, Fonctions harmoniques sur un arbre, Sympos. Math., 9 (1972), pp. 203-270. | MR 353467 | Zbl 0283.31005

[2] A. Figà-Talamanca - M.A. Picardello, Harmonic analysis on free groups, Lecture Notes in Pure and Appl. Math., vol. 87, Marcel Dekker, New York, 1983. | MR 710827 | Zbl 0536.43001

[3] A. Korányi, Boundary behaviour of Poisson integrals on symmetric spaces, Trans. Amer. Math. Soc., 140 (1969), pp. 393-409. | MR 245826 | Zbl 0179.15103

[4] A. Korányi - S. Vagi, Singular integrals on homogeneous spaces and some problems of classical analysis, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 25 (1971), pp. 575-618. | Numdam | MR 463513 | Zbl 0291.43014

[5] A.M. Mantero - A. Zappa, The Poisson transform and representations of free groups, J. Funct. Anal., 51 (1983), pp. 372-399. | MR 703084 | Zbl 0532.43006

[6] H.L. Michelson, Fatou theorem for eigenfunctions of the invariant differential operators on symmetric spaces, Trans. Amer. Math. Soc., 177 (1973), pp. 257-274. | MR 319113 | Zbl 0225.31002

[7] P. Sjögren, Une remarque sur la convergence des fonctions propres du Laplacien à valeur propre critique, Lecture Notes in Math. 1096, pp. 544-548, Springer, Berlin, 1984. | MR 890377 | Zbl 0563.31003

[8] M. Taibleson, Fourier analysis on local fields, Princeton University Press, Princeton, 1975. | MR 487295 | Zbl 0319.42011

[9] J.C. Taylor, An elementary proof of the theorem of Fatou-Naïm-Doob, Canad. Math. Soc. Conference Proc., vol. 1: Harmonic Analysis, Amer. Math. Soc., Providence (1981), pp. 153-163. | MR 670103 | Zbl 0551.31004

[10] A. Zygmund, Trigonometric series, 2nd edition, Cambridge, 1959. | Zbl 0367.42001