2 papers
math.CV2026
Schur functions on a rhombic lattice
Daniel Alpay, Angel Fuerte Perez, Dan Volok
We extend the study of discrete analytic (DA) Schur functions to rhombic lattices, utilizing suitably defined shift operators. There is a number of important differences with the c…
math.CV2023
Rational discrete analytic functions on a rhombic lattice
Daniel Alpay, Zubayir Kazi, Mariana Tecalero +1
A novel basis of discrete analytic polynomials on a rhombic lattice is introduced and the associated convolution product is studied. A class of discrete analytic functions that are…