Boundary Interpolation for Contractive-valued Functions on Circular Domains in Cn

doi:https://doi.org/10.1007/978-3-0348-7881-4_5

Boundary Interpolation for Contractive-valued Functions on Circular Domains in Cn

Joseph A. Ball,Vladimir Bolotnikov-2004-01-01-Birkhäuser Basel eBooks

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TL;DRAbstract

We consider a boundary interpolation problem for operator-valued functions defined on a class of bounded complete circular domains in Cn (including as particular cases, Cartan domains of types I, II and III) which satisfy the von Neumann’s inequality. The solvability criterion is obtained and the set of all solutions is parametrized in terms of a family of Redheffer linear fractional transformations.

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We consider a boundary interpolation problem for operator-valued functions defined on a class of bounded complete circular domains in Cn (including as particular cases, Cartan domains of types I, II and III) which satisfy the von Neumann’s inequality. The solvability criterion is obtained and the set of all solutions is parametrized in terms of a family of Redheffer linear fractional transformations.

Keywords

MathematicsInterpolation (computer graphics)Boundary (topology)Bounded functionPure mathematicsClass (philosophy)Operator (biology)Set (abstract data type)

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