On conditionless bases of the kernels generated by differential equations of the second order

We establish necessary and sufficient conditions for a system of functions generated by differential equations of the second order to be a basis. Our method is based on the application of the Muckenhoupt condition.

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Bibliographic Details
Date:2017
Main Authors: Levchuk, V. M., Левчук, В. М.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1700
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal