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

被引：0
|
作者：
Alpay, Daniel [1 ]
Lewkowicz, Izchak [2 ]
Vajiac, Mihaela [1 ]
机构：
[1] Chapman Univ, Schmid Coll Sci & Technol, One Univ Dr, Orange, CA 92866 USA
[2] Ben Gurion Univ Negev, Sch Elect & Comp Engn, POB 653, IL-84105 Beer Sheva, Israel
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2023年 / 13卷 / 03期
关键词：
Bicomplex analysis; Wiener algebra; Rational functions; Spectral factorization; Superoscillations; OPERATORS; CONTINUITY;
D O I：
10.1007/s13324-023-00812-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：32
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