English

Discrete analytic Schur functions

Complex Variables 2021-06-09 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2106.04000,
  title  = {Discrete analytic Schur functions},
  author = {Daniel Alpay and Dan Volok},
  journal= {arXiv preprint arXiv:2106.04000},
  year   = {2021}
}
R2 v1 2026-06-24T02:56:12.981Z