L-Poisson integral representations of solutions of the Hua system on the bounded symmetric domain SU(n,n)/S(U(n)×U(n)) |
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| Authors: | Abdelhamid Boussejra |
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| Institution: | Department of Mathematics, Faculty of Sciences, University Ibn Tofail, Kenitra, Morocco |
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| Abstract: | Let  positive definite} be the matrix ball of rank n and let HD be the associated Hua operator. For a complex number λ, such that Reiλ>n−1 we give a necessary and sufficient condition on solutions F of the following Hua system of differential equations on D: |
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