Analyticity of Higher-Order Moduli of Continuity of Real-Analytic Functions

The Perel'man's result according to which the first modulus of continuity of any real-analytic function f is a function analytic in a certain neighborhood of the origin is generalized to the case of arbitrary moduli of continuity of higher order.

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Bibliographic Details
Date:2003
Main Authors: Dovgoshei, A. A., Potemkina, L. L., Довгошей, О. А., Потьомкіна, Л. Л.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2003
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3950
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal