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

Daniel Alpay, Izchak Lewkowicz, Mihaela Vajiac

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number54
JournalAnalysis and Mathematical Physics
Volume13
Issue number3
DOIs
StatePublished - 1 Jun 2023

Keywords

  • Bicomplex analysis
  • Rational functions
  • Spectral factorization
  • Superoscillations
  • Wiener algebra

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Mathematical Physics

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