English

Stiefel filters

Complex Variables 2024-11-08 v1

Abstract

The best uniform rational approximation of the Sign function on two intervals separated by zero was explicitly found by E.I. Zolotar\"ev in 1877. The natural extension of this problem to three bands was solved by E.Stiefel in 1961. We indicate the solutions overlooked by the prominent geometer and study their properties.

Cite

@article{arxiv.2411.04146,
  title  = {Stiefel filters},
  author = {Andrei Bogatyrev},
  journal= {arXiv preprint arXiv:2411.04146},
  year   = {2024}
}

Comments

13 pages, 5 figures

R2 v1 2026-06-28T19:50:31.058Z