T ?c min ) W 0 défini commè a la page 74, Alors L = ?(?)L est un isomorphisme isométrique de L 2 ,
A Paley-Wiener theorem for the spherical Laplace transform on causal symmetric spaces of rank 1, Proc. Amer, pp.1-173, 2001. ,
On the inversion of the Laplace and Abel transforms for causal symmetric spaces, Forum Mathematicum, vol.181, issue.5, pp.701-725, 2003. ,
DOI : 10.1515/form.2003.038
The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: The even multiplicity case, Indagationes Mathematicae, vol.16, issue.3-4, pp.393-428, 2005. ,
DOI : 10.1016/S0019-3577(05)80033-3
Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid I, Forum, Math, vol.8, pp.621-658, 1996. ,
Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid II, Forum. Math, vol.8, pp.659-722, 1996. ,
Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid III, Forum. Math, vol.9, pp.165-192, 1997. ,
Analyse harmonique sur les paires de Gelfand et les espaces hyperboliques, Analyse harmonique, 1980. ,
Espaces Hilbertiens invariants de fonctions holomorphes, Analyse sur les groupes de Lie et théorie des représentations, Séminaires et congrès 7, 2003. ,
Spherical functions on ordered symmetric spaces, Annales de l???institut Fourier, vol.44, issue.3, pp.3-927, 1994. ,
DOI : 10.5802/aif.1421
URL : http://archive.numdam.org/article/AIF_1994__44_3_927_0.pdf
Causal semisimple symmetric spaces, the geometry and harmonic analysis , Semigroups in algebra, geometry and analysis (Oberwolfach, de Gruyter Exp. Math, vol.20, pp.3-32, 1993. ,
Paley-Wiener type theorems for a differential operator connected with symmetric spaces, Arkiv f??r Matematik, vol.10, issue.1-2, pp.143-162, 1972. ,
DOI : 10.1007/BF02384806
Groups and Geometric Analysis, 1984. ,
DOI : 10.1090/surv/083
Causal symmetric spaces, geometry and harmonic analysis, 1997. ,
Analytic function theory. Vol II, introductions to higher mathematics, 1962. ,
Lie groups beyond an introduction, 2002. ,
DOI : 10.1007/978-1-4757-2453-0
A new proof of a Paley???Wiener type theorem for the Jacobi transform, Arkiv f??r Matematik, vol.13, issue.1-2, pp.145-159, 1975. ,
DOI : 10.1007/BF02386203
Jacobi Functions and Analysis on Noncompact Semisimple Lie Groups, Math. Appl, pp.1-85, 1984. ,
DOI : 10.1007/978-94-010-9787-1_1
Une Transformation de Laplace???Jacobi, SIAM Journal on Mathematical Analysis, vol.14, issue.5, pp.5-987, 1983. ,
DOI : 10.1137/0514078
Symmetric spaces of Hermitian type, Differential Geom, Appl, vol.1, issue.3, pp.195-233, 1991. ,
On the meromorphic extension of the spherical functions on noncompactly causal symmetric spaces Paley-Wiener theorem for the ?-hypergeometric transform : the even multiplicity case, J. Func. Anal. J. Math. Pures. Appl, vol.18123, pp.346-401, 2001. ,
Harmonic analysis for certain representations of graded Hecke algebras, Acta Mathematica, vol.175, issue.1, pp.75-121, 1995. ,
DOI : 10.1007/BF02392487
Fourier transforms in the complex domain, 1934. ,
Asymptotic analysis of ??-hypergeometric functions, Inventiones mathematicae, vol.42, issue.1, pp.71-122, 2004. ,
DOI : 10.2307/1986319
The $\Theta$-spherical transform and its inversion, MATHEMATICA SCANDINAVICA, vol.95, issue.2, pp.265-284, 2004. ,
DOI : 10.7146/math.scand.a-14459
Analytic properties of expansions, and some variants of Parseval-Plancherel formulas, Arkiv f??r Matematik, vol.5, issue.6, pp.553-567, 1965. ,
DOI : 10.1007/BF02591531
Introduction to Fourier analysis on Euclidian spaces, 1971. ,
Orthogonal polynomials, Amer, Math. Soc, 1939. ,
Modern spherical functions, Amer, Math. Soc, 1994. ,
DOI : 10.1090/mmono/135
Introduction to the theory of Fourier integrals, 1986. ,
Analyse harmonique sur un espace symétrique ordonné et sur son dual compact, 1999. ,
Generalized functions in mathematical physics, 1979. ,
Harmonic analysis on commutative spaces, Amer, Math. Soc, 2007. ,