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math.CV2015★ 5 cited
Finite Blaschke products and the construction of rational -inner functions
Jim Agler, Zinaida A. Lykova, N. J. Young
Let \[ Γ= \{(z+w, zw): |z|\leq 1, |w|\leq 1\} \subset \mathbb{C}^2. \] A -inner function is defined to be a holomorphic map from the unit disc to whose boun…
math.CV2015★ 1 cited
Algebraic and geometric aspects of rational -inner functions
Jim Agler, Zinaida A. Lykova, Nicholas J. Young
The set \[ Γ{\stackrel{\rm def}{=}} \{(z+w,zw):|z|\leq 1,|w|\leq 1\} \subset {\mathbb{C}}^2 \] has intriguing complex-geometric properties; it has a 3-parameter group of automorphi…