Constructing Infinite Sets of Orthogonal Exponentials for Convex Polytopes
Combinatorics
2019-09-19 v1 Analysis of PDEs
Abstract
The aim of this article is to show the existence, and also give an explicit construction, of infinite sets of orthogonal exponentials for certain families of convex polytopes which include simple-rational polytopes and also non simple polytopes which satisfy other nontrivial conditions. We also show that by considering weight functions one can construct infinite sets of orthogonal exponentials with a positive density by considering orthogonal projections of affine transformations of hypercubes (i.e., zonotopes).
Keywords
Cite
@article{arxiv.1909.08422,
title = {Constructing Infinite Sets of Orthogonal Exponentials for Convex Polytopes},
author = {Yehonatan Salman},
journal= {arXiv preprint arXiv:1909.08422},
year = {2019}
}