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Fréchet-valued meromorphic extension along a pencil of complex lines

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The aim of paper is to find the condition under which a Fréchet-valued function [Formula: see text] admitting meromorphic extension along some pencil of complex lines can be meromorphically extended… Click to show full abstract

The aim of paper is to find the condition under which a Fréchet-valued function [Formula: see text] admitting meromorphic extension along some pencil of complex lines can be meromorphically extended to a neighborhood of [Formula: see text] Some auxiliary results concerning the domains of existence for Fréchet-valued meromorphic functions, Rothstein’s theorem, Levi extension theorem for meromorphic functions with values in a locally complete space, convergence of formal power series of Fréchet-valued homogeneous polynomials are also proved in this work.

Keywords: chet; along pencil; meromorphic extension; chet valued; extension along

Journal Title: Asian-European Journal of Mathematics
Year Published: 2021

Link to full text (if available)


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