We introduce the Schur class of functions, discrete analytic on the integer lattice in the complex plane. As a special case, we derive the explicit form of discrete analytic Blaschke factors and solve the related basic interpolation problem.
Daniel Alpay and Dan Volok, Discrete analytic Schur functions, Proc. Amer. Math. Soc. 150 (2022), 2145-2152. https://doi.org/10.1090/proc/15875
American Mathematical Society
This is an author-produced PDF of an article that later underwent peer review and was accepted for publication in Proceedings of the American Mathematical Society, volume 150, in 2022. This article may not exactly replicate the final published version. The definitive publisher-authenticated version is available online at https://doi.org/10.1090/proc/15875 .