Journal of Lie Theory

no. 3
Boundedness of the Cauchy Harish-Chandra Integral
Journal of Lie Theory, Volume 21 (2011) no. 3, pp. 499-613
This is the first of our three articles showing that the Cauchy Harish-Chandra integral maps invariant eigendistributions to invariant eigendistributions with the correct infinitesimal character. Here we prove that all the derivatives of the Cauchy Harish-Chandra integral are bounded.
DOI: 10.5802/jolt.642
Classification: 22E45, 22E46
Keywords: Dual pairs, orbital integrals 
@article{JOLT_2011_21_3_a0,
     author = {F. Bernon and T. Przebinda},
     title = {Boundedness of the {Cauchy} {Harish-Chandra} {Integral}},
     journal = {Journal of Lie Theory},
     pages = {499--613},
     year = {2011},
     volume = {21},
     number = {3},
     doi = {10.5802/jolt.642},
     zbl = {1241.22016},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.642/}
}
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F. Bernon; T. Przebinda. Boundedness of the Cauchy Harish-Chandra Integral. Journal of Lie Theory, Volume 21 (2011) no. 3, pp. 499-613. doi: 10.5802/jolt.642

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