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An example of a complete orthonormal system in a Hilbert space of generalized functions

We construct a complete orthonormal system of generalized functions in a Hilbert space W −1. We obtain an estimate of the error of approximation in W −1, which is expressed in terms of the integral modulus of continuity of a function from L 2.

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Bibliographic Details
Date:	1997
Main Authors:	Gladkivs’ka, O. V., Гладківська, О. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1997
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5055
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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