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 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.
1992 ◽
Vol 44
(1)
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pp. 194-205
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2003 ◽
Vol 184
(2)
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pp. 369-383
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2004 ◽
Vol 339
(8)
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pp. 533-538
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2002 ◽
Vol 51
(3)
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pp. 403-410
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2017 ◽
Vol 2018
(15)
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pp. 4780-4798
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2011 ◽
Vol 31
(1)
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pp. 331-343
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CYCLICITY AND UNICELLULARITY OF THE DIFFERENTIATION OPERATOR ON BANACH SPACES OF FORMAL POWER SERIES
2005 ◽
Vol 105A
(1)
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pp. 1-7
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