On the integral representations for Dunkl kernels of type A 2, J. Lie Theory, vol.26, issue.4, pp.1163-1175, 2016. ,
Three results in Dunkl analysis, Colloquium Mathematicum, vol.118, issue.1, pp.299-312, 2010. ,
DOI : 10.4064/cm118-1-16
URL : http://arxiv.org/pdf/0904.3608v1.pdf
Demni : Laplace?type integral representations of the generalized Bessel function and of the Dunkl kernel of type, p.preprint, 2016. ,
Transform??es de Riesz associ??s ?? la transform??e de Dunkl, Annales math??matiques Blaise Pascal, vol.19, issue.1, pp.247-262, 2012. ,
DOI : 10.5802/ambp.312
Singular integral operators in Dunkl setting, J. Lie Theory, vol.22, issue.3, pp.723-739, 2012. ,
Anker : An elementary proof of the positivity of the intertwining operator in one?dimensional trigonometric Dunkl theory, preprint ,
Sifi : Opdam's hypergeometric functions pproduct formula and convolution structure in dimension 1q, Adv. Pure Appl. Math, vol.3, issue.1, pp.11-44, 2012. ,
The Hardy space H 1 in the rational Dunkl setting, Constr. Approx, vol.42, issue.1, pp.93-128, 2015. ,
Yacoub : Spherical analysis on harmonic AN groups, Ann. Scuola Norm. Sup. Pisa, vol.23, issue.4 4, pp.643-679, 1996. ,
The shifted wave equation on Damek?Ricci spaces and on homogeneous trees, in Trends in Harmonic Analysis, XXXV Convegno di Analisi Armonica, pp.1-25, 2011. ,
The heat kernel on symmetric spaces, in Lie groups and symmetric spaces (in memory of F.I. Karpelevich), Amer. Math. Soc. Transl, issue.2, pp.27-46, 2004. ,
Trojan : Heat kernel and Green function estimates on affine buildings of type r A r , preprint ,
Ørsted : Bessel functions for root systems via the trigonometric setting, Int. Math. Res. Not. (IMRN), vol.9, pp.551-585, 2005. ,
Abstract, Compositio Mathematica, vol.85, issue.04, pp.1265-1336, 2012. ,
DOI : 10.1142/S0219530503000132
Double affine Hecke algebras, Soc. Lect. Note Ser, vol.319, p.434, 2005. ,
DOI : 10.1017/CBO9780511546501
Explicit formulas for the Dunkl dihedral kernel and the p?,aq? generalized Fourier kernel , preprint ,
An overview of harmonic analysis on the group of isometries of a homogeneous tree, Expo. Math, vol.16, pp.385-423, 1998. ,
Estimates for functions of the Laplace operator on homogeneous trees, Transactions of the American Mathematical Society, vol.352, issue.09, pp.4271-4293, 2000. ,
DOI : 10.1090/S0002-9947-00-02460-0
Dunkl kernel associated with dihedral groups, Journal of Mathematical Analysis and Applications, vol.432, issue.2, pp.928-944, 2015. ,
DOI : 10.1016/j.jmaa.2015.07.029
Dunkl operators (an overview ) Updated lecture notes (2015), CIMPA Spring School Analytical and probabilistic aspects of Dunkl theory (Monastir, 2009. ,
Orthogonal polynomials of several variables, Encyclopedia Math, Appl, vol.81, 2001. ,
Riesz Transforms Characterizations of Hardy Spaces $$H^1$$ H 1 for the Rational Dunkl Setting and Multidimensional Bessel Operators, The Journal of Geometric Analysis, vol.262, issue.2, pp.2639-2663, 2016. ,
DOI : 10.1007/s12220-015-9642-2
Calogero?Moser systems and representation theory, Zurich Lect, Adv. Math. Eur. Math. Soc, vol.4, 2007. ,
DOI : 10.4171/034
A uniform proof of the Macdonald-Mehta-Opdam identity for finite Coxeter groups, Mathematical Research Letters, vol.17, issue.2, pp.275-282, 2010. ,
DOI : 10.4310/MRL.2010.v17.n2.a7
Analyse harmonique sur les paires de Guelfand et les espaces hyperboliques, pp.315-446, 1982. ,
Harmonic analysis on free groups, Lect. Notes Pure Appl. Math, vol.87, 1983. ,
Propri??t?? de Liouville et ??quation de Poisson pour le laplacien g??n??ralis?? de Dunkl, Comptes Rendus Mathematique, vol.337, issue.10, pp.639-644, 2003. ,
DOI : 10.1016/j.crma.2003.09.032
A new mean value property for harmonic functions relative to the Dunkl-Laplacian operator and applications, Transactions of the American Mathematical Society, vol.368, issue.5, pp.3727-3753, 2016. ,
DOI : 10.1090/tran/6671
Rejeb : Newtonian potentials and subharmonic functions associated to the Dunkl? Laplace operator, p.1368871 ,
DOI : 10.1007/s11118-017-9619-9
URL : https://hal.archives-ouvertes.fr/hal-01368871/document
Support properties of the intertwining and the mean value operators in Dunkl's analysis, p.1331693 ,
Positivity of the Jacobi???Cherednik intertwining operator and its dual, Advances in Pure and Applied Mathematics, vol.1, issue.2, pp.163-194, 2010. ,
DOI : 10.1515/apam.2010.011
Harmonic analysis of spherical functions on real reductive groups, 1988. ,
DOI : 10.1007/978-3-642-72956-0
Rösler : On the Green function and Poisson integrals of the Dunkl Laplacian, preprint ,
Ruijsenaars : A recursive construction of joint eigenfunctions for the hyperbolic nonrelativistic Calogero?Moser Hamiltonians, Int. Math. Res. Not. (IMRN), vol.20, pp.10278-10313, 2015. ,
An elementary approach to the hypergeometric shift operators of Opdam, Inventiones Mathematicae, vol.15, issue.4, pp.341-350, 1991. ,
DOI : 10.1007/BF01239517
Harmonic analysis and special functions on symmetric spaces, Perspect. Math, vol.16, 1994. ,
Groups and geometric analysis (Integral geometry, invariant differential operators, and spherical functions), Pure Appl, Math. Math. Surveys Monographs, vol.113, issue.83, 1984. ,
Reflection groups and Coxeter groups, Cambridge Studies Adv. Math, vol.29, 1990. ,
DOI : 10.1017/CBO9780511623646
Schrödinger equation on homogeneous trees, J. Lie Theory, vol.23, pp.779-794, 2013. ,
Paley?Wiener theorems for the Dunkl transform, Transactions of the American Mathematical Society, vol.358, issue.10, pp.4225-4250, 2006. ,
DOI : 10.1090/S0002-9947-06-03960-2
Asymptotic analysis for the Dunkl kernel, J. Approx. Theory, vol.119, pp.110-126, 2002. ,
Reflection groups and invariant theory, CMS Books Math, vol.5, 2001. ,
DOI : 10.1007/978-1-4757-3542-0
Jacobi Functions and Analysis on Noncompact Semisimple Lie Groups, Special functions, pp.1-84, 1984. ,
DOI : 10.1007/978-94-010-9787-1_1
Analysis on the Crown Domain, Geometric and Functional Analysis, vol.18, issue.4, pp.1326-1421, 2008. ,
DOI : 10.1007/s00039-008-0684-5
Spherical functions on a group of p?adic type, Publ. Ramanujan Institute 2, Centre Adv. Study Math, 1971. ,
Affine Hecke algebras and orthogonal polynomials, Cambridge Tracts Math, 2003. ,
DOI : 10.1017/cbo9780511542824
URL : http://archive.numdam.org/article/SB_1994-1995__37__189_0.pdf
Macdonald formula for spherical functions on affine buildings, Annales de la facult?? des sciences de Toulouse Math??matiques, vol.20, issue.4, pp.669-758, 2011. ,
DOI : 10.5802/afst.1321
Harmonic functions associated to Dunkl operators, Monatshefte f??r Mathematik, vol.12, issue.4, pp.337-345, 2007. ,
DOI : 10.1007/s00605-007-0475-3
The wave equation on homogeneous trees, Annali di Matematica Pura ed Applicata, vol.64, issue.6, pp.1-27, 1999. ,
DOI : 10.1007/BF02505986
On a mean value property associated with the dunkl laplacian operator and applications, Integral Transforms and Special Functions, vol.60, issue.3, pp.279-302, 2001. ,
DOI : 10.4153/CJM-1998-010-9
Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications, Advances in Mathematics, vol.252, pp.227-259, 2014. ,
DOI : 10.1016/j.aim.2013.10.027
URL : https://hal.archives-ouvertes.fr/hal-01096768
Shifted jack polynomials, binomial formula, and applications, Mathematical Research Letters, vol.4, issue.1, pp.69-78, 1997. ,
DOI : 10.4310/MRL.1997.v4.n1.a7
URL : http://arxiv.org/abs/q-alg/9608020
Some applications of hypergeometric shift operators, Inventiones Mathematicae, vol.3, issue.1, pp.1-18, 1989. ,
DOI : 10.1007/BF01388841
Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group, Compos. Math, vol.85, pp.333-373, 1993. ,
Harmonic analysis for certain representations of graded Hecke algebras, Acta Mathematica, vol.175, issue.1, pp.75-121, 1995. ,
DOI : 10.1007/BF02392487
Lecture notes on Dunkl operators for real and complex reflection groups, Math. Soc. Japan Mem. Math. Soc. Japan, vol.8, 2000. ,
DOI : 10.2969/msjmemoirs/008010000
Spherical harmonic analysis on affine buildings, Mathematische Zeitschrift, vol.56, issue.3, pp.571-606, 2006. ,
DOI : 10.1017/S1446788700035540
URL : http://arxiv.org/abs/math/0604058
Fonctions harmoniques et sous?harmoniques associées à des systèmes de racines, 2015. ,
Dunkl Operators: Theory and Applications, Orthogonal polynomials and special functions, pp.93-135, 2002. ,
DOI : 10.1007/3-540-44945-0_3
A positive radial product formula for the Dunkl kernel, Transactions of the American Mathematical Society, vol.355, issue.06, pp.2413-2438, 2003. ,
DOI : 10.1090/S0002-9947-03-03235-5
Bessel convolutions on matrix cones, Compositio Mathematica, vol.143, issue.03, pp.749-779, 2007. ,
DOI : 10.1112/S0010437X06002594
Positive convolution structure for a class of Heckman???Opdam hypergeometric functions of type BC, Journal of Functional Analysis, vol.258, issue.8, pp.2779-2800, 2010. ,
DOI : 10.1016/j.jfa.2009.12.007
Abstract, Compositio Mathematica, vol.4, issue.08, pp.1381-1400, 2013. ,
DOI : 10.1016/0001-8708(89)90015-7
Positivity of Dunkl's intertwining operator via the trigonometric setting, Int. Math. Res. Not. (IMRN), vol.63, pp.3379-3389, 2004. ,
Voit : A limit relation for Dunkl?Bessel functions of type A and B, Symmetry Integrability Geom, Meth. Appl. (SIGMA), vol.4, p.83, 2008. ,
Integral representation and uniform limits for some Heckman-Opdam hypergeometric functions of type \textsl{BC}, Transactions of the American Mathematical Society, vol.368, issue.8, pp.6005-6032, 2016. ,
DOI : 10.1090/tran6673
Espaces de Damek-Ricci, géométrie et analyse, Analyse sur les groupes de Lie et théorie des représentations, pp.45-100, 1999. ,
Spherical functions on symmetric cones, Transactions of the American Mathematical Society, vol.349, issue.09, pp.3569-3584, 1997. ,
DOI : 10.1090/S0002-9947-97-01505-5
A Laplace?type representation of the generalized spherical functions associated to the root systems of type A, preprint ,
Etude analytique et probabiliste de laplaciens associés à des systèmes de racines plaplacien hypergéométrique de Heckman?Opdam et laplacien combinatoire sur les immeubles affinesq, 2006. ,
The Heckman???Opdam Markov processes, Probability Theory and Related Fields, vol.21, issue.4, pp.495-519, 2007. ,
DOI : 10.1007/s00440-006-0034-1
URL : https://hal.archives-ouvertes.fr/hal-00150394
Contributions to the Hypergeometric Function Theory of Heckman and Opdam: Sharp Estimates, Schwartz Space, Heat Kernel, Geometric and Functional Analysis, vol.18, issue.1, pp.222-250, 2008. ,
DOI : 10.1007/s00039-008-0658-7
URL : https://hal.archives-ouvertes.fr/hal-00023581
Bounded Harmonic Functions for the Heckman-Opdam Laplacian, International Mathematics Research Notices, vol.17, pp.3149-3159, 2009. ,
DOI : 10.1093/imrn/rnp046
URL : https://hal.archives-ouvertes.fr/hal-00324368
A new integral formula for Heckman???Opdam hypergeometric functions, Advances in Mathematics, vol.289, pp.1157-1204, 2016. ,
DOI : 10.1016/j.aim.2015.09.037
URL : http://arxiv.org/abs/1406.3772
Convolution operator and maximal function for the Dunkl transform, Journal d'Analyse Math??matique, vol.29, issue.1, pp.25-55, 2005. ,
DOI : 10.1007/BF02807401
The trigonometric Dunkl intertwining operator and its dual associated with the Cherednik operators and the Heckman???Opdam theory, Advances in Pure and Applied Mathematics, vol.1, issue.3, pp.293-323, 2010. ,
DOI : 10.1515/apam.2010.015
Hypergeometric convolution structure on L p ?spaces and applications for the Heckman- Opdam theory, p.preprint, 2012. ,
Positivity of the transmutation operators and absolute continuity of their representing measures for a root system on R d, Int. J. Appl. Math, vol.28, issue.4, pp.427-453, 2015. ,
Heat kernel and Green function estimates on affine buildings, preprint ,
Product formulas for a two?parameter family of Heckman?Opdam hypergeometric functions of type BC, J. Lie Theory, vol.25, issue.1, pp.9-36, 2015. ,