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Models of Holomorphic Functions on the Symmetrized Skew Bidisc

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The purpose of this paper is to develop the theory of holomorphic functions with modulus bounded by 1 on the symmetrized skew bidisc G r = def { ( λ 1 + r λ 2 , r λ 1 λ 2 ) : λ 1 ∈ D , λ 2 ∈ D } , for a fixed r &#871... ...