English

Suboscillations with arbitrary shape

Mathematical Physics 2017-09-13 v1 math.MP

Abstract

We report a method for constructing bandpass functions that approximate a given analytic function with arbitrary accuracy over a finite interval. A corollary is that bandpass functions can be obtained that oscillate arbitrarily slower than their minimum frequency component, a counter-intuitive phenomenon known as suboscillations.

Keywords

Cite

@article{arxiv.1705.02977,
  title  = {Suboscillations with arbitrary shape},
  author = {Ioannis Chremmos and Yujie Chen and George Fikioris},
  journal= {arXiv preprint arXiv:1705.02977},
  year   = {2017}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-22T19:40:31.885Z