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On divergence of series of exponents representing functions regular in convex polygons

We prove that, on a convex polygon, there exist functions from the Smirnov class E whose series of exponents diverge in the metric of the space E. Similar facts are established for the convergence almost everywhere on the boundary of a polygon, for the uniform convergence on a closed polygon, and fo...

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Bibliographic Details
Date:	1994
Main Authors:	Mel'nik, Yu. I., Мельник, Ю. И.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1994
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5744
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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