3 papers
math.CV2023
The Bicomplex-Real Calculus and Applications to Bicomplex Hermite-Itô Polynomials
Daniel Alpay, Kamal Diki, Mihaela Vajiac
In this paper we extend notions of complex C-R-calculus and complex Hermite polynomials to the bicomplex setting and compare the bicomplex polyanalytic function theory to the class…
cs.IT2023
The Bicomplex Tensor Product, a Bicomplex Choi Theorem and Applications
Daniel Alpay, Antonino De Martino, Kamal Diki +1
In this paper we extend the concept of tensor product to the bicomplex case and use it to prove the bicomplex counterpart of the classical Choi theorem in the theory of complex mat…
math.CV2022
Discrete Wiener Algebra in the Bicomplex Setting, Spectral Factorization with Symmetry, and Superoscillations
Daniel Alpay, Izchak Lewkowicz, Mihaela Vajiac
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 b…