Discrete Wiener Algebra in the Bicomplex Setting, Spectral Factorization with Symmetry, and Superoscillations
Complex Variables
2022-06-28 v1 Mathematical Physics
Functional Analysis
math.MP
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 classical bicomplex analysis and complex analysis with symmetry. We also write an application to superoscillations in this case.
Keywords
Cite
@article{arxiv.2206.12814,
title = {Discrete Wiener Algebra in the Bicomplex Setting, Spectral Factorization with Symmetry, and Superoscillations},
author = {Daniel Alpay and Izchak Lewkowicz and Mihaela Vajiac},
journal= {arXiv preprint arXiv:2206.12814},
year = {2022}
}