Discrete Wiener algebra in the bicomplex setting, spectral factorization with symmetry, and superoscillations

被引：0
作者：
Daniel Alpay
Izchak Lewkowicz
Mihaela Vajiac
机构：
[1] Chapman University,Schmid College of Science and Technology
[2] Ben-Gurion University of the Negev,School of Electrical and Computer Engineering
来源：
Analysis and Mathematical Physics | 2023年 / 13卷
关键词：
Bicomplex analysis; Wiener algebra; Rational functions; Spectral factorization; Superoscillations; Primary 30G35; Secondary 47A57;
D O I：
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学科分类号：
摘要：
In this paper we present parallel theories on constructing Wiener algebras in the bicomplex setting. With the appropriate symmetry condition, the bicomplex matrix valued case can be seen as a complex valued case and, in this matrix valued case, we make the necessary connection between bicomplex analysis and complex analysis with symmetry. We also write an application to superoscillations in this case.
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