@article{bwmeta1.element.bwnjournal-article-cmv80i1p53bwm, author = {Michael Cowling and Stefano Meda and Alberto Setti}, title = {Invariant operators on function spaces on homogeneous trees}, journal = {Colloquium Mathematicae}, volume = {79}, year = {1999}, pages = {53-61}, zbl = {0929.43005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv80i1p53bwm} }
Cowling, Michael; Meda, Stefano; Setti, Alberto. Invariant operators on function spaces on homogeneous trees. Colloquium Mathematicae, Tome 79 (1999) pp. 53-61. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv80i1p53bwm/
[000] [BL] J. Bergh and J. Löfström, Interpolation Spaces. An Introduction, Grundlehren Math. Wiss. 223, Springer, New York, 1976. | Zbl 0344.46071
[001] [CS] J.-L. Clerc and E. M. Stein, multipliers for noncompact symmetric spaces, Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 3911-3912. | Zbl 0296.43004
[002] [CGM] M. Cowling, S. Giulini and S. Meda, estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I, Duke Math. J. 72 (1993), 109-150. | Zbl 0807.43002
[003] M. Cowling, S. Meda and A. G. Setti, Estimates for functions of the Laplace operator on homogeneous trees, Trans. Amer. Math. Soc., to appear. | Zbl 0949.43008
[004] M. Cowling, S. Meda and A. G. Setti, An overview of harmonic analysis on the group of isometries of a homogeneous tree, Exposition. Math. 16 (1998), 385-423. | Zbl 0915.43007
[005] [FTN] A. Figà-Talamanca and C. Nebbia, Harmonic Analysis and Representa- tion Theory for Groups Acting on Homogeneous Trees, London Math. Soc. Lecture Note Ser. 162, Cambridge Univ. Press, Cambridge, 1991. | Zbl 1154.22301
[006] [FTP] A. Figà-Talamanca and M. Picardello, Harmonic Analysis on Free Groups, Lecture Notes in Pure and Appl. Math. 87, Marcel Dekker, New York, 1983. | Zbl 0536.43001
[007] [Hö] L. Hörmander, Estimates for translation invariant operators in spaces, Acta Math. 104 (1960), 93-140. | Zbl 0093.11402
[008] [Lo] N. Lohoué, Estimations des coefficients de représentation et opérateurs de convolution, Adv. Math. 38 (1980), 178-221. | Zbl 0463.43003
[009] [N] C. Nebbia, Groups of isometries of a tree and the Kunze-Stein phenomenon, Pacific J. Math. 133 (1988), 141-149. | Zbl 0646.43006
[010] [Py] T. Pytlik, Radial convolutors on free groups, Studia Math. 78 (1984), 178-183. | Zbl 0572.43002
[011] [RT] R. Rochberg and M. Taibleson, Factorization of the Green's operator and weak-type estimates for a random walk on a tree, Publ. Mat. 35 (1991), 187-207. | Zbl 0729.60008