Unitary extension principle on zero-dimensional locally compact groups

In this article, we obtain methods for constructing step  tight frames on an arbitrary locally compact zero-dimensional group. To do this, we use the principle of unitary extension. First, we indicate a method for constructing a step scaling function on an arbitrary zero-dimensional group....

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Bibliographic Details
Main Authors: Lukomskii, Sergei Feodorovich, Kruss, Iuliia Sergeevna
Format: Article
Language:English
Published: Saratov State University 2023-08-01
Series:Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
Subjects:
Online Access:https://mmi.sgu.ru/sites/mmi.sgu.ru/files/text-pdf/2023/08/320-338-lukomskii-kruss.pdf