Abstract
This paper concerns the matrix condition necessary and sufficient for the existence of a function f, holomorphic in a finitely connected domain and having |f| ≤ 1 and finitely many first prescribed Taylor coefficients at a finite number of given points. In a simply connected domain, some transformation formulas and their applications are given. The results of Abrahamse on the Pick interpolation problem are generalized to the above extended interpolation problem.
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© 1992 Springer Basel AG
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Takahashi, S. (1992). Extended Interpolation Problem in Finitely Connected Domains. In: Ando, T., Gohberg, I. (eds) Operator Theory and Complex Analysis. Operator Theory: Advances and Applications, vol 59. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8606-2_16
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DOI: https://doi.org/10.1007/978-3-0348-8606-2_16
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9699-3
Online ISBN: 978-3-0348-8606-2
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