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Abstract Interpolating Fraction of the Thiele Type


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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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