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Research Article | Open Access

Unions of exponential Riesz bases

Department of Mathematics and Big Data Science, Kumoh National Institute of Technology, Gumi, Gyeongsangbuk-do 39177, Korea
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Abstract

We have developed new methods for constructing exponential Riesz bases by combining existing ones. These methods involve taking unions of frequency sets and domains respectively, offering easier construction compared to known techniques. Along with examples illustrating our methods, we also provide several examples that highlight the intricate nature of exponential Riesz bases.

Keywords

complex exponentialsRiesz basesframesspectrumdomainunion
CLC number: 42C15

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 23890-23908
DOI: 10.3934/math.20241161

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Cite this article:
Lee DG. Unions of exponential Riesz bases. AIMS Mathematics, 2024, 9(9): 23890-23908. https://doi.org/10.3934/math.20241161

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Received: 09 February 2024
Revised: 06 April 2024
Accepted: 15 April 2024
Published: 15 September 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)