Geodesic
Normalization of the Cauchy Harish-Chandra Integral
Journal of Lie theory, Tome 21 (2011) no. 3, pp. 615-702

Voir la notice de l'article provenant de la source Heldermann Verlag

This is the second of our three articles showing that the Cauchy Harish-Chandra integral maps invariant eigendistributions to invariant eigendistributions with the correct infinitesimal character. In this paper, we define a normalization of this integral for all real reductive dual pairs. Then we prove that the normalized Cauchy Harish-Chandra integral maps orbital integrals to orbital integrals for the pairs (Up,q, U1,1), (Op,q, Sp2(R)) and (Sp2n(R), O1,2).
Classification : 22E45, 22E46
Mots-clés : Dual pairs, orbital integrals 
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     author = {F. Bernon and T. Przebinda },
     title = {Normalization of the {Cauchy} {Harish-Chandra} {Integral}},
     journal = {Journal of Lie theory},
     pages = {615--702},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2011},
     url = {http://geodesic.mathdoc.fr/item/JLT_2011_21_3_JLT_2011_21_3_a1/}
}
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F. Bernon; T. Przebinda . Normalization of the Cauchy Harish-Chandra Integral. Journal of Lie theory, Tome 21 (2011) no. 3, pp. 615-702. http://geodesic.mathdoc.fr/item/JLT_2011_21_3_JLT_2011_21_3_a1/