Email this article Abstract Interpolating Fraction of the Thiele Type
- Authors: Makarov V.L.1, Demkiv I.I.2
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Affiliations:
- Institute of Mathematics, Ukrainian National Academy of Sciences
- “L’vivs’ka Politekhnika” National University
- Issue: Vol 231, No 4 (2018)
- Pages: 536-546
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241171
- DOI: https://doi.org/10.1007/s10958-018-3832-y
- ID: 241171
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Abstract
We construct an abstract continued fraction of the Thiele type as an interpolating fraction for a nonlinear operator acting from a linear topological space X to an algebra Y with identity. In some special cases, this fraction transforms either into a classical Thiele fraction or into a matrix-valued fraction of the Thiele type depending on many variables.
About the authors
V. L. Makarov
Institute of Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Kiev
I. I. Demkiv
“L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
Ukraine, Lviv
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