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This article is cited in 2 scientific papers (total in 2 papers)
Real, complex and functional analysis
Multiple interpolation for Nevanlinna type spaces
E. G. Rodikova Bryansk State University,
str. Bezhitskaya, 14,
241036, Bryansk,Russia
Abstract:
In this paper we solve the multiple interpolation problem in the class of analytic functions in the unit disk with the Nevanlinna characteristic from $L^p$-spaces under the condition that interpolation nodes are contained in a finite union of Stolz angles and we describe the principal parts of a Laurent series of meromorphic functions with the same restrictions on the Nevanlinna characteristic.
Keywords:
meromorphic function, multiple interpolation, a Laurent series, principal parts, the Nevanlinna characteristic.
Received August 9, 2016, published March 24, 2017
Citation:
E. G. Rodikova, “Multiple interpolation for Nevanlinna type spaces”, Sib. Èlektron. Mat. Izv., 14 (2017), 264–273
Linking options:
https://www.mathnet.ru/eng/semr783 https://www.mathnet.ru/eng/semr/v14/p264
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