The Cauchy Harish-Chandra Integral, for the pair 𝔲p,q,𝔲1
Andrzej Daszkiewicz ; Tomasz Przebinda
Open Mathematics, Tome 5 (2007), p. 654-664 / Harvested from The Polish Digital Mathematics Library
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For the dual pair considered, the Cauchy Harish-Chandra Integral, as a distribution on the Lie algebra, is the limit of the holomorphic extension of the reciprocal of the determinant. We compute that limit explicitly in terms of the Harish-Chandra orbital integrals.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:269730 
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     author = {Andrzej Daszkiewicz and Tomasz Przebinda},
     title = {The Cauchy Harish-Chandra Integral, for the pair \[\mathfrak {u}\_{p,q} ,\mathfrak {u}\_1 \]
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     journal = {Open Mathematics},
     volume = {5},
     year = {2007},
     pages = {654-664},
     zbl = {1204.22008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-007-0023-3}
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Andrzej Daszkiewicz; Tomasz Przebinda. The Cauchy Harish-Chandra Integral, for the pair \[\mathfrak {u}_{p,q} ,\mathfrak {u}_1 \]
            . Open Mathematics, Tome 5 (2007) pp. 654-664. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-007-0023-3/

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