Discrete Wiener Algebra in the Bicomplex Setting, Spectral Factorization with Symmetry, and Superoscillations

Authors

Daniel Alpay, Chapman UniversityFollow
Izchak Lewkowicz, Ben-Gurion University of the Negev
Mihaela Vajiac, Chapman UniversityFollow

Document Type

Article

Publication Date

6-1-2023

Abstract

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.

Comments

This article was originally published in Analysis and Mathematical Physics, volume 13, in 2023. https://doi.org/10.1007/s13324-023-00812-y

Recommended Citation

Alpay, D., Lewkowicz, I. & Vajiac, M. Discrete Wiener algebra in the bicomplex setting, spectral factorization with symmetry, and superoscillations. Anal.Math.Phys. 13, 54 (2023). https://doi.org/10.1007/s13324-023-00812-y

Peer Reviewed

1

Copyright

The authors

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.